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166 PR articles • 3,423 PR citations • Sorted by year • Download PDF (PDF by citations)
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1A Convergent Entropy-Dissipating BDF2 Finite-Volume Scheme for a Population Cross-Diffusion System
Computational Methods in Applied Mathematics, 2024, 24, 725-746
1.12Citations (PDF)
2A coupled stochastic differential reaction–diffusion system for angiogenesis
Journal of Computational and Applied Mathematics, 2024, 438, 115570
2.42Citations (PDF)
3Large-time asymptotics for degenerate cross-diffusion population models with volume filling
Journal of Differential Equations, 2024, 386, 1-15
2.15Citations (PDF)
4Existence analysis of a cross-diffusion system with nonlinear Robin boundary conditions for vesicle transport in neurites
Nonlinear Analysis: Theory, Methods & Applications, 2024, 241, 113494
1.20Citations (PDF)
5Analysis of a Poisson–Nernst–Planck–Fermi system for charge transport in ion channels
Journal of Differential Equations, 2024, 395, 38-68
2.10Citations (PDF)
6Structure-preserving semi-convex-splitting numerical scheme for a Cahn–Hilliard cross-diffusion system in lymphangiogenesis
Mathematical Models and Methods in Applied Sciences, 2024, 34, 1905-1932
2.73Citations (PDF)
7A discrete boundedness-by-entropy method for finite-volume approximations of cross-diffusion systems
IMA Journal of Numerical Analysis, 2023, 43, 560-589
2.46Citations (PDF)
8Spin-diffusion model for micromagnetics in the limit of long times
Journal of Differential Equations, 2023, 343, 467-494
2.13Citations (PDF)
9Analysis of a finite-volume scheme for a single-species biofilm model
Applied Numerical Mathematics, 2023, 185, 386-405
2.21Citations (PDF)
10The Shigesada–Kawasaki–Teramoto cross-diffusion system beyond detailed balance
Journal of Differential Equations, 2023, 360, 260-286
2.16Citations (PDF)
11Global martingale solutions for stochastic Shigesada–Kawasaki–Teramoto population models
Stochastics and Partial Differential Equations: Analysis and Computations, 2023, 12, 525-575
0.73Citations (PDF)
12Hyperbolic–parabolic normal form and local classical solutions for cross-diffusion systems with incomplete diffusion
Communications in Partial Differential Equations, 2023, 48, 863-894
2.24Citations (PDF)
13A minimizing-movements approach to GENERIC systems
Mathematics in Engineering, 2022, 4, 1-18
0.93Citations (PDF)
14Nonlocal cross-diffusion systems for multi-species populations and networks
Nonlinear Analysis: Theory, Methods & Applications, 2022, 219, 112800
1.222Citations (PDF)
15Formal derivation of quantum drift-diffusion equations with spin-orbit interaction
Kinetic and Related Models, 2022, 15, 257
1.60Citations (PDF)
16Analysis of a fractional cross-diffusion system for multi-species populations
Journal of Differential Equations, 2022, 322, 237-267
2.12Citations (PDF)
17Existence analysis of a stationary compressible fluid model for heat-conducting and chemically reacting mixtures
Journal of Mathematical Physics, 2022, 63,
1.25Citations (PDF)
18Random-batch method for multi-species stochastic interacting particle systems
Journal of Computational Physics, 2022, 463, 111220
3.72Citations (PDF)
19Weak-Strong Uniqueness for Maxwell--Stefan Systems
SIAM Journal on Mathematical Analysis, 2022, 54, 3215-3252
1.613Citations (PDF)
20Convergence of a finite-volume scheme for a degenerate-singular cross-diffusion system for biofilms
IMA Journal of Numerical Analysis, 2021, 41, 935-973
2.45Citations (PDF)
21Analysis of Maxwell–Stefan systems for heat conducting fluid mixtures
Nonlinear Analysis: Real World Applications, 2021, 59, 103263
1.65Citations (PDF)
22Entropy-dissipating finite-difference schemes for nonlinear fourth-order parabolic equations
Discrete and Continuous Dynamical Systems - Series B, 2021, 26, 3335
1.31Citations (PDF)
23A Convergent Structure-Preserving Finite-Volume Scheme for the Shigesada--Kawasaki--Teramoto Population System
SIAM Journal on Numerical Analysis, 2021, 59, 2286-2309
2.59Citations (PDF)
24Global martingale solutions for quasilinear SPDEs via the boundedness-by-entropy method
Annales De L'institut Henri Poincare (B) Probability and Statistics, 2021, 57,
1.46Citations (PDF)
25When do cross-diffusion systems have an entropy structure?
Journal of Differential Equations, 2021, 278, 60-72
2.18Citations (PDF)
26Existence analysis of a degenerate diffusion system for heat-conducting gases
Nonlinear Differential Equations and Applications, 2021, 28,
0.91Citations (PDF)
27Rigorous Derivation of Population Cross-Diffusion Systems from Moderately Interacting Particle Systems
Journal of Nonlinear Science, 2021, 31,
2.120Citations (PDF)
28Cross-diffusion systems and fast-reaction limits
Bulletin Des Sciences Mathematiques, 2020, 159, 102824
0.811Citations (PDF)
29Vanishing cross-diffusion limit in a Keller–Segel system with additional cross-diffusion
Nonlinear Analysis: Theory, Methods & Applications, 2020, 192, 111698
1.24Citations (PDF)
30A structure-preserving discontinuous Galerkin scheme for the Fisher–KPP equation
Numerische Mathematik, 2020, 146, 119-157
1.812Citations (PDF)
31Analysis of Cross-Diffusion Systems for Fluid Mixtures Driven by a Pressure Gradient
SIAM Journal on Mathematical Analysis, 2020, 52, 2179-2197
1.69Citations (PDF)
32Large-time asymptotics for a matrix spin drift-diffusion model
Journal of Mathematical Analysis and Applications, 2020, 486, 123887
1.12Citations (PDF)
33Rigorous mean-field limit and cross-diffusion
Zeitschrift Fur Angewandte Mathematik Und Physik, 2019, 70,
1.329Citations (PDF)
34High-friction limits of Euler flows for multicomponent systems
Nonlinearity, 2019, 32, 2875-2913
1.514Citations (PDF)
35Homogenization of degenerate cross-diffusion systems
Journal of Differential Equations, 2019, 267, 5543-5575
2.13Citations (PDF)
36Two Structure-Preserving Time Discretizations for Gradient Flows
Applied Mathematics and Optimization, 2019, 80, 733-764
1.24Citations (PDF)
37Global renormalized solutions to reaction-cross-diffusion systems with self-diffusion
Journal of Differential Equations, 2019, 267, 5901-5937
2.110Citations (PDF)
38Comparison of a finite-element and finite-volume scheme for a degenerate cross-diffusion system for ion transport
Computational and Applied Mathematics, 2019, 38,
2.15Citations (PDF)
39Convergence of an implicit Euler Galerkin scheme for Poisson–Maxwell–Stefan systems
Advances in Computational Mathematics, 2019, 45, 1469-1498
1.69Citations (PDF)
40Finite‐volume scheme for a degenerate cross‐diffusion model motivated from ion transport
Numerical Methods for Partial Differential Equations, 2019, 35, 545-575
1.914Citations (PDF)
41Global martingale solutions for a stochastic population cross-diffusion system
Stochastic Processes and Their Applications, 2019, 129, 3792-3820
1.116Citations (PDF)
42Weak–strong uniqueness of renormalized solutions to reaction–cross-diffusion systems
Mathematical Models and Methods in Applied Sciences, 2019, 29, 237-270
2.715Citations (PDF)
43Large-time asymptotics of a fractional drift–diffusion–Poisson system via the entropy method
Nonlinear Analysis: Theory, Methods & Applications, 2019, 179, 270-293
1.22Citations (PDF)
44Exponential Time Decay of Solutions to Reaction-Cross-Diffusion Systems of Maxwell–Stefan Type
Archive for Rational Mechanics and Analysis, 2019, 235, 1059-1104
2.08Citations (PDF)
45Blow-up of solutions to semi-discrete parabolic-elliptic Keller-Segel models
Discrete and Continuous Dynamical Systems - Series B, 2019, 24, 4755-4782
1.31Citations (PDF)
46Energy-transport systems for optical lattices: Derivation, analysis, simulation
Mathematical Models and Methods in Applied Sciences, 2018, 28, 579-614
2.73Citations (PDF)
47Analysis of a degenerate parabolic cross-diffusion system for ion transport
Journal of Mathematical Analysis and Applications, 2018, 461, 523-543
1.117Citations (PDF)
48Existence Analysis of a Single-Phase Flow Mixture with van der Waals Pressure
SIAM Journal on Mathematical Analysis, 2018, 50, 1367-1395
1.614Citations (PDF)
49Pipelined Iterative Solvers with Kernel Fusion for Graphics Processing Units
ACM Transactions on Mathematical Software, 2017, 43, 1-27
2.713Citations (PDF)
50Analysis of degenerate cross-diffusion population models with volume filling
Annales De L'Institut Henri Poincare (C) Analyse Non Lineaire, 2017, 34, 1-29
1.643Citations (PDF)
51A cross-diffusion system derived from a Fokker–Planck equation with partial averaging
Zeitschrift Fur Angewandte Mathematik Und Physik, 2017, 68,
1.34Citations (PDF)
52Corrigendum to “Analysis of degenerate cross-diffusion population models with volume filling” [Ann. Inst. Henri Poincaré 34 (1) (2017) 1–29]
Annales De L'Institut Henri Poincare (C) Analyse Non Lineaire, 2017, 34, 789-792
1.64Citations (PDF)
53Discrete Beckner inequalities via the Bochner–Bakry–Emery approach for Markov chains
Annals of Applied Probability, 2017, 27,
1.68Citations (PDF)
54A note on the uniqueness of weak solutions to a class of cross-diffusion systems
Journal of Evolution Equations, 2017, 18, 805-820
1.015Citations (PDF)
55Global Existence Analysis of Cross-Diffusion Population Systems for Multiple Species
Archive for Rational Mechanics and Analysis, 2017, 227, 715-747
2.055Citations (PDF)
56A kinetic equation for economic value estimation with irrationality and herding
Kinetic and Related Models, 2017, 10, 239-261
1.612Citations (PDF)
57Entropy-dissipating semi-discrete Runge–Kutta schemes for nonlinear diffusion equations
Communications in Mathematical Sciences, 2017, 15, 27-53
1.011Citations (PDF)
58Energy-transport models for spin transport in ferromagnetic semiconductors
Communications in Mathematical Sciences, 2017, 15, 1527-1563
1.00Citations (PDF)
59A discrete Bakry-Emery method and its application to the porous-medium equation
Discrete and Continuous Dynamical Systems, 2017, 37, 5541-5560
0.90Citations (PDF)
60A finite-volume scheme for a spinorial matrix drift-diffusion model for semiconductors
Numerical Methods for Partial Differential Equations, 2016, 32, 819-846
1.96Citations (PDF)
61Entropy-dissipative discretization of nonlinear diffusion equations and discrete Beckner inequalities
ESAIM: Mathematical Modelling and Numerical Analysis, 2016, 50, 135-162
0.519Citations (PDF)
62Qualitative behavior of solutions to cross-diffusion systems from population dynamics
Journal of Mathematical Analysis and Applications, 2016, 440, 794-809
1.18Citations (PDF)
63ViennaCL---Linear Algebra Library for Multi- and Many-Core Architectures
SIAM Journal of Scientific Computing, 2016, 38, S412-S439
2.377Citations (PDF)
64A review of recent advances in the spherical harmonics expansion method for semiconductor device simulation
Journal of Computational Electronics, 2016, 15, 939-958
1.925Citations (PDF)
65Analysis of a coupled spin drift–diffusion Maxwell–Landau–Lifshitz system
Journal of Differential Equations, 2016, 260, 6828-6854
2.19Citations (PDF)
66Hypocoercivity for a Linearized Multispecies Boltzmann System
SIAM Journal on Mathematical Analysis, 2016, 48, 538-568
1.623Citations (PDF)
67A Degenerate Fourth-Order Parabolic Equation Modeling Bose–Einstein Condensation. Part I: Local Existence of Solutions
Archive for Rational Mechanics and Analysis, 2015, 217, 935-973
2.03Citations (PDF)
68Entropy dissipative one‐leg multistep time approximations of nonlinear diffusive equations
Numerical Methods for Partial Differential Equations, 2015, 31, 1119-1149
1.910Citations (PDF)
69The boundedness-by-entropy method for cross-diffusion systems
Nonlinearity, 2015, 28, 1963-2001
1.5142Citations (PDF)
70Global existence analysis for degenerate energy-transport models for semiconductors
Journal of Differential Equations, 2015, 258, 2339-2363
2.111Citations (PDF)
71Bounded weak solutions to a matrix drift–diffusion model for spin-coherent electron transport in semiconductors
Mathematical Models and Methods in Applied Sciences, 2015, 25, 929-958
2.78Citations (PDF)
72A Degenerate Fourth-Order Parabolic Equation Modeling Bose-Einstein Condensation Part II: Finite-Time Blow-Up
Communications in Partial Differential Equations, 2015, 40, 1748-1786
2.23Citations (PDF)
73Analysis of an Incompressible Navier–Stokes–Maxwell–Stefan System
Communications in Mathematical Physics, 2015, 340, 471-497
2.546Citations (PDF)
74A finite volume scheme for a Keller-Segel model with additional cross-diffusion
IMA Journal of Numerical Analysis, 2014, 34, 96-122
2.435Citations (PDF)
75Perfectly Matched Layers versus discrete transparent boundary conditions in quantum device simulations
Journal of Computational Physics, 2014, 275, 1-24
3.716Citations (PDF)
76An Asymptotic Limit of a Navier–Stokes System with Capillary Effects
Communications in Mathematical Physics, 2014, 329, 725-744
2.520Citations (PDF)
77On the Lagrangian structure of quantum fluid models
Discrete and Continuous Dynamical Systems, 2014, 34, 1375-1396
0.96Citations (PDF)
78Achieving Portable High Performance for Iterative Solvers on Accelerators
Proceedings in Applied Mathematics and Mechanics, 2014, 14, 963-964
0.50Citations (PDF)
79Existence Analysis of Maxwell--Stefan Systems for Multicomponent Mixtures
SIAM Journal on Mathematical Analysis, 2013, 45, 2421-2440
1.673Citations (PDF)
80A multidimensional nonlinear sixth-order quantum diffusion equation
Annales De L'Institut Henri Poincare (C) Analyse Non Lineaire, 2013, 30, 337-365
1.611Citations (PDF)
81Transient Schrödinger–Poisson simulations of a high-frequency resonant tunneling diode oscillator
Journal of Computational Physics, 2013, 239, 187-205
3.730Citations (PDF)
82Flatness of Semilinear Parabolic PDEs—A Generalized Cauchy–Kowalevski Approach
IEEE Transactions on Automatic Control, 2013, 58, 2277-2291
5.318Citations (PDF)
83Existence analysis for a simplified transient energy‐transport model for semiconductors
Mathematical Methods in the Applied Sciences, 2013, 36, 1701-1712
1.910Citations (PDF)
84A Note on Aubin-Lions-Dubinskiĭ Lemmas
Acta Applicandae Mathematicae, 2013, 133, 33-43
0.863Citations (PDF)
85Entropy-stable and entropy-dissipative approximations of a fourth-order quantum diffusion equation
Numerische Mathematik, 2013, 127, 365-396
1.813Citations (PDF)
86Two spinorial drift-diffusion models for quantum electron transport in graphene
Communications in Mathematical Sciences, 2013, 11, 807-830
1.010Citations (PDF)
87Compact families of piecewise constant functions in
Nonlinear Analysis: Theory, Methods & Applications, 2012, 75, 3072-3077
1.284Citations (PDF)
88Cross Diffusion Preventing Blow-Up in the Two-Dimensional Keller–Segel Model
SIAM Journal on Mathematical Analysis, 2011, 43, 997-1022
1.655Citations (PDF)
89A New Derivation of the Quantum Navier–Stokes Equations in the Wigner–Fokker–Planck Approach
Journal of Statistical Physics, 2011, 145, 1661-1673
1.211Citations (PDF)
90Analysis of a bipolar energy-transport model for a metal-oxide-semiconductor diode
Journal of Mathematical Analysis and Applications, 2011, 378, 764-774
1.14Citations (PDF)
91A simplified quantum energy-transport model for semiconductors
Nonlinear Analysis: Real World Applications, 2011, 12, 1033-1046
1.63Citations (PDF)
92A finite-volume scheme for the multidimensional quantum drift-diffusion model for semiconductors
Numerical Methods for Partial Differential Equations, 2011, 27, 1483-1510
1.910Citations (PDF)
93Effective velocity in compressible Navier–Stokes equations with third-order derivatives
Nonlinear Analysis: Theory, Methods & Applications, 2011, 74, 2813-2818
1.218Citations (PDF)
94Lyapunov functionals, weak sequential stability, and uniqueness analysis for energy-transport systems
Annali Dell'Universita Di Ferrara, 2011, 58, 89-100
0.81Citations (PDF)
95Semiclassical limit in a simplified quantum energy-transport model for semiconductors
Kinetic and Related Models, 2011, 4, 1049-1062
1.61Citations (PDF)
96Full compressible Navier-Stokes equations for quantum fluids: Derivation and numerical solution
Kinetic and Related Models, 2011, 4, 785-807
1.630Citations (PDF)
97Entropies for radially symmetric higher-order nonlinear diffusion equations
Communications in Mathematical Sciences, 2011, 9, 353-382
1.04Citations (PDF)
98Time-dependent simulations of quantum waveguides using a time-splitting spectral method
Mathematics and Computers in Simulation, 2010, 81, 883-898
4.96Citations (PDF)
99The zero-electron-mass limit in the hydrodynamic model for plasmas
Nonlinear Analysis: Theory, Methods & Applications, 2010, 72, 4415-4427
1.229Citations (PDF)
100Global Weak Solutions to Compressible Navier–Stokes Equations for Quantum Fluids
SIAM Journal on Mathematical Analysis, 2010, 42, 1025-1045
1.6127Citations (PDF)
101Energy transport in semiconductor devices
Mathematical and Computer Modelling of Dynamical Systems, 2010, 16, 1-22
1.613Citations (PDF)
102Self-heating in a coupled thermo-electric circuit-device model
Journal of Computational Electronics, 2010, 10, 163-178
1.96Citations (PDF)
103Diffusive semiconductor moment equations using Fermi–Dirac statistics
Zeitschrift Fur Angewandte Mathematik Und Physik, 2010, 62, 623-639
1.37Citations (PDF)
104Convex Sobolev Inequalities Derived from Entropy Dissipation
Archive for Rational Mechanics and Analysis, 2010, 199, 563-596
2.017Citations (PDF)
105Small velocity and finite temperature variations in kinetic relaxation models
Kinetic and Related Models, 2010, 3, 1-15
1.61Citations (PDF)
106Global existence of solutions to one-dimensional viscous quantum hydrodynamic equations
Journal of Differential Equations, 2009, 247, 3117-3135
2.136Citations (PDF)
107A Three-Dimensional Mixed Finite-Element Approximation of the Semiconductor Energy-Transport Equations
SIAM Journal of Scientific Computing, 2009, 31, 1120-1140
2.310Citations (PDF)
108A Sixth-Order Nonlinear Parabolic Equation for Quantum Systems
SIAM Journal on Mathematical Analysis, 2009, 41, 1472-1490
1.618Citations (PDF)
109Mixed entropy estimates for the porous-medium equation with convection
Discrete and Continuous Dynamical Systems - Series B, 2009, 12, 783-796
1.32Citations (PDF)
110Sequential Quadratic Programming Method for Volatility Estimation in Option Pricing
Journal of Optimization Theory and Applications, 2008, 139, 515-540
1.14Citations (PDF)
111Non-homogeneous boundary conditions for a fourth-order diffusion equation
Comptes Rendus Mathematique, 2008, 346, 143-148
0.61Citations (PDF)
112The Derrida–Lebowitz–Speer–Spohn Equation: Existence, NonUniqueness, and Decay Rates of the Solutions
SIAM Journal on Mathematical Analysis, 2008, 39, 1996-2015
1.673Citations (PDF)
113Numerical Coupling of Electric Circuit Equations and Energy-Transport Models for Semiconductors
SIAM Journal of Scientific Computing, 2008, 30, 873-894
2.314Citations (PDF)
114Analysis of a Parabolic Cross-Diffusion Semiconductor Model with Electron-Hole Scattering
Communications in Partial Differential Equations, 2007, 32, 127-148
2.231Citations (PDF)
115A Hierarchy of Diffusive Higher-Order Moment Equations for Semiconductors
SIAM Journal on Applied Mathematics, 2007, 68, 171-198
1.914Citations (PDF)
116A Two-Surface Problem of the Electron Flow in a Semiconductor on the Basis of Kinetic Theory
Journal of Statistical Physics, 2007, 130, 313-342
1.23Citations (PDF)
117First-order entropies for the Derrida-Lebowitz-Speer-Spohn equation
Discrete and Continuous Dynamical Systems - Series B, 2007, 8, 861-877
1.314Citations (PDF)
118Physical and numerical viscosity for quantum hydrodynamics
Communications in Mathematical Sciences, 2007, 5, 447-471
1.030Citations (PDF)
119A Nonlinear Fourth‐order Parabolic Equation with Nonhomogeneous Boundary Conditions
SIAM Journal on Mathematical Analysis, 2006, 37, 1761-1779
1.626Citations (PDF)
120Derivation of New Quantum Hydrodynamic Equations Using Entropy Minimization
SIAM Journal on Applied Mathematics, 2006, 67, 46-68
1.952Citations (PDF)
121Numerical approximation of the viscous quantum hydrodynamic model for semiconductors
Applied Numerical Mathematics, 2006, 56, 899-915
2.226Citations (PDF)
122Analysis of a parabolic cross-diffusion population model without self-diffusion
Journal of Differential Equations, 2006, 224, 39-59
2.1132Citations (PDF)
123The relaxation-time limit in the quantum hydrodynamic equations for semiconductors
Journal of Differential Equations, 2006, 225, 440-464
2.135Citations (PDF)
124An algorithmic construction of entropies in higher-order nonlinear PDEs
Nonlinearity, 2006, 19, 633-659
1.548Citations (PDF)
125Entropy-energy inequalities and improved convergence rates for nonlinear parabolic equations
Discrete and Continuous Dynamical Systems - Series B, 2006, 6, 1027-1050
1.318Citations (PDF)
126A logarithmic fourth-order parabolic equation and related logarithmic Sobolev inequalities
Communications in Mathematical Sciences, 2006, 4, 275-290
1.024Citations (PDF)
127Existence and uniqueness of solutions to a quasilinear parabolic equation with quadratic gradients in financial markets
Nonlinear Analysis: Theory, Methods & Applications, 2005, 62, 519-544
1.211Citations (PDF)
128Semiconductor Simulations Using a Coupled Quantum Drift‐Diffusion Schrödinger–Poisson Model
SIAM Journal on Applied Mathematics, 2005, 66, 554-572
1.921Citations (PDF)
129Quantum Euler-Poisson systems: global existence and exponential decay
Quarterly of Applied Mathematics, 2004, 62, 569-600
1.061Citations (PDF)
130Analysis of a Multidimensional Parabolic Population Model with Strong Cross-Diffusion
SIAM Journal on Mathematical Analysis, 2004, 36, 301-322
1.6137Citations (PDF)
131Convergence of a high-order compact finite difference scheme for a nonlinear Black–Scholes equation
ESAIM: Mathematical Modelling and Numerical Analysis, 2004, 38, 359-369
0.547Citations (PDF)
132An Adaptive Mixed Scheme for Energy-Transport Simulations of Field-Effect Transistors
SIAM Journal of Scientific Computing, 2004, 25, 1698-1716
2.313Citations (PDF)
133Discrete minimum and maximum principles for finite element approximations of non-monotone elliptic equations
Numerische Mathematik, 2004, 99, 485-508
1.815Citations (PDF)
134Semi-discretization in time and numerical convergence of solutions of a nonlinear cross-diffusion population model
Numerische Mathematik, 2003, 93, 655-673
1.884Citations (PDF)
135Global smooth solutions to the multi-dimensional hydrodynamic model for two-carrier plasmas
Journal of Differential Equations, 2003, 190, 663-685
2.178Citations (PDF)
136High Order Compact Finite Difference Schemes for a Nonlinear Black-Scholes Equation
International Journal of Theoretical and Applied Finance, 2003, 06, 767-789
0.570Citations (PDF)
137A Mixed Finite-Element Discretization of the Energy-Transport Model for Semiconductors
SIAM Journal of Scientific Computing, 2003, 24, 2058-2075
2.327Citations (PDF)
138A Parabolic Cross-Diffusion System for Granular Materials
SIAM Journal on Mathematical Analysis, 2003, 35, 561-578
1.624Citations (PDF)
139Convergence of Nonlinear Schrödinger–Poisson Systems to the Compressible Euler Equations
Communications in Partial Differential Equations, 2003, 28, 1005-1022
2.222Citations (PDF)
140Convergent semidiscretization of a nonlinear fourth order parabolic system
ESAIM: Mathematical Modelling and Numerical Analysis, 2003, 37, 277-289
0.524Citations (PDF)
141Positive entropic schemes for a nonlinear fourth-order parabolic equation
Discrete and Continuous Dynamical Systems - Series B, 2003, 3, 1-20
1.310Citations (PDF)
142ASYMPTOTIC LIMITS FOR QUANTUM TRAJECTORY MODELS
Communications in Partial Differential Equations, 2002, 27, 669-691
2.215Citations (PDF)
143A relaxation scheme for the hydrodynamic equations for semiconductors
Applied Numerical Mathematics, 2002, 43, 229-252
2.213Citations (PDF)
144A Positivity-Preserving Numerical Scheme for a Nonlinear Fourth Order Parabolic System
SIAM Journal on Numerical Analysis, 2001, 39, 385-406
2.568Citations (PDF)
145Positive Solutions to Singular Second and Third Order Differential Equations for Quantum Fluids
Archive for Rational Mechanics and Analysis, 2001, 156, 183-203
2.045Citations (PDF)
146Entropy Dissipation Methods for Degenerate ParabolicProblems and Generalized Sobolev Inequalities
Monatshefte Fur Mathematik, 2001, 133, 1-82
0.6301Citations (PDF)
147On a quasilinear degenerate system arising in semiconductors theory. Part I: Existence and uniqueness of solutions
Nonlinear Analysis: Real World Applications, 2001, 2, 305-336
1.628Citations (PDF)
148Nonlinear problems in quantum semiconductor modeling
Nonlinear Analysis: Theory, Methods & Applications, 2001, 47, 5873-5884
1.228Citations (PDF)
149A hierarchy of hydrodynamic models for plasmas. Zero-electron-mass limits in the drift-diffusion equations
Annales De L'Institut Henri Poincare (C) Analyse Non Lineaire, 2000, 17, 83-118
1.631Citations (PDF)
150Regularity and uniqueness of solutions to a parabolic system in nonequilibrium thermodynamics
Nonlinear Analysis: Theory, Methods & Applications, 2000, 41, 669-688
1.228Citations (PDF)
151Inviscid Limits¶of the Complex Ginzburg–Landau Equation
Communications in Mathematical Physics, 2000, 214, 201-226
2.527Citations (PDF)
152Global Nonnegative Solutions of a Nonlinear Fourth-Order Parabolic Equation for Quantum Systems
SIAM Journal on Mathematical Analysis, 2000, 32, 760-777
1.676Citations (PDF)
153Numerical Discretization of Energy-Transport Models for Semiconductors with Nonparabolic Band Structure
SIAM Journal of Scientific Computing, 2000, 22, 986-1007
2.353Citations (PDF)
154A Nonstiff Euler Discretization of the Complex Ginzburg--Landau Equation in One Space Dimension
SIAM Journal on Numerical Analysis, 2000, 38, 292-328
2.57Citations (PDF)
155On a quasilinear degenerate system arising in semiconductor theory. Part II: Localization of vacuum solutions
Nonlinear Analysis: Theory, Methods & Applications, 1999, 36, 569-594
1.213Citations (PDF)
156A steady-state system in non-equilibrium thermodynamics including thermal and electrical effects
Mathematical Methods in the Applied Sciences, 1998, 21, 1399-1413
1.954Citations (PDF)
157A Steady-State Quantum Euler-Poisson System for Potential Flows
Communications in Mathematical Physics, 1998, 194, 463-479
2.550Citations (PDF)
158A Discretization Scheme for a Quasi-Hydrodynamic Semiconductor Model
Mathematical Models and Methods in Applied Sciences, 1997, 07, 935-955
2.730Citations (PDF)
159Space localization and uniqueness of solutions of a quasilinear parabolic system arising in semiconductor theory
Comptes Rendus Mathematique, 1997, 325, 267-272
0.54Citations (PDF)
160An existence and uniqueness result for the stationary energy-transport model in semiconductor theory
Comptes Rendus Mathematique, 1997, 324, 867-872
0.56Citations (PDF)
161Symmetrization and entropy inequality for general diffusion equations
Comptes Rendus Mathematique, 1997, 325, 963-968
0.529Citations (PDF)
162A Nonlinear Drift ‐ Diffusion System with Electric Convection Arising in Electrophoretic and Semiconductor Modeling
Mathematische Nachrichten, 1997, 185, 85-110
0.823Citations (PDF)
163A system of parabolic equations in nonequilibrium thermodynamics including thermal and electrical effects
Journal Des Mathematiques Pures Et Appliquees, 1997, 76, 991-1015
2.179Citations (PDF)
164Asymptotic Analysis of a Semiconductor Model Based on Fermi-Dirac Statistics
Mathematical Methods in the Applied Sciences, 1996, 19, 401-424
1.917Citations (PDF)
165Stationary equations for charge carriers in semiconductors including electron-hole scattering
Applicable Analysis, 1996, 62, 53-69
1.56Citations (PDF)
166The free boundary problem of a semiconductor in thermal equilibrium
Mathematical Methods in the Applied Sciences, 1995, 18, 387-412
1.94Citations (PDF)