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Hamiltonian Evolution of Monokinetic Measures with Rough Momentum Profile.
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- Archive for Rational Mechanics & Analysis, 2015, v. 217, n. 1, p. 71, doi. 10.1007/s00205-014-0829-7
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- Article
Bernoulli Variational Problem and Beyond.
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- Archive for Rational Mechanics & Analysis, 2014, v. 212, n. 2, p. 415, doi. 10.1007/s00205-013-0707-8
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On the XFEL Schrödinger Equation: Highly Oscillatory Magnetic Potentials and Time Averaging.
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- Archive for Rational Mechanics & Analysis, 2014, v. 211, n. 3, p. 711, doi. 10.1007/s00205-013-0715-8
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On the Dynamics of Bohmian Measures.
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- Archive for Rational Mechanics & Analysis, 2012, v. 205, n. 3, p. 1031, doi. 10.1007/s00205-012-0528-1
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- Article
Non linear Diffusions as Limit of Kinetic Equations with Relaxation Collision Kernels.
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- Archive for Rational Mechanics & Analysis, 2007, v. 186, n. 1, p. 133, doi. 10.1007/s00205-007-0049-5
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- Article
Non-uniqueness of weak solutions of the Quantum-Hydrodynamic system.
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- Kinetic & Related Models, 2019, v. 12, n. 2, p. 347, doi. 10.3934/krm.2019015
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- Article
CONTINUOUS LIMIT OF A CROWD MOTION AND HERDING MODEL: ANALYSIS AND NUMERICAL SIMULATIONS.
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- Kinetic & Related Models, 2011, v. 4, n. 4, p. 1025, doi. 10.3934/krm.2011.4.1025
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NUMERICAL SIMULATION OF TRAPPED DIPOLAR QUANTUM GASES: COLLAPSE STUDIES AND VORTEX DYNAMICS.
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- Kinetic & Related Models, 2010, v. 3, n. 1, p. 181, doi. 10.3934/krm.2010.3.181
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SMALL VELOCITY AND FINITE TEMPERATURE VARIATIONS IN KINETIC RELAXATION MODELS.
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- Kinetic & Related Models, 2010, v. 3, n. 1, p. 1, doi. 10.3934/krm.2010.3.1
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- Article
Emergence of biological transportation networks as a self-regulated process.
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- Discrete & Continuous Dynamical Systems: Series A, 2023, v. 43, n. 3/4, p. 1, doi. 10.3934/dcds.2022159
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- Article
EXISTENCE OF SOLUTIONS TO PERTURBED FRACTIONAL NIRENBERG PROBLEMS.
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- Electronic Journal of Differential Equations, 2017, v. 2017, n. 1-54, p. 1
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Erratum: Homogenization limits and Wigner transforms.
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- Communications on Pure & Applied Mathematics, 2000, v. 53, n. 2, p. 280, doi. 10.1002/(SICI)1097-0312(200002)53:2<280::AID-CPA4>3.0.CO;2-6
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- Article
Homogenization limits and Wigner transforms.
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- Communications on Pure & Applied Mathematics, 1997, v. 50, n. 4, p. 323, doi. 10.1002/(SICI)1097-0312(199704)50:4<323::AID-CPA4>3.0.CO;2-C
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Preface.
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- Discrete & Continuous Dynamical Systems - Series B, 2020, v. 25, n. 10, p. i-ii, doi. 10.3934/dcdsb.2020265
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- Article
MEAN FIELD GAMES WITH NONLINEAR MOBILITIES IN PEDESTRIAN DYNAMICS.
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- Discrete & Continuous Dynamical Systems - Series B, 2014, v. 19, n. 5, p. 1311, doi. 10.3934/dcdsb.2014.19.1311
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- Article
A non-isentropic Euler-Poisson model for a collisionless plasma.
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- Mathematical Methods in the Applied Sciences, 1993, v. 16, n. 6, p. 409, doi. 10.1002/mma.1670160603
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- Article
The three-dimensional wigner-poisson problem: Existence, uniqueness and approximation.
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- Mathematical Methods in the Applied Sciences, 1991, v. 14, n. 1, p. 35, doi. 10.1002/mma.1670140103
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- Article
On the equivalence of the Schrödinger and the quantum Liouville equations.
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- Mathematical Methods in the Applied Sciences, 1989, v. 11, n. 4, p. 459, doi. 10.1002/mma.1670110404
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- Article
Murray's law for discrete and continuum models of biological networks.
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- Mathematical Models & Methods in Applied Sciences, 2019, v. 29, n. 12, p. 2359, doi. 10.1142/S0218202519500489
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- Article
Pattern formation of a nonlocal, anisotropic interaction model.
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- Mathematical Models & Methods in Applied Sciences, 2018, v. 28, n. 3, p. 409, doi. 10.1142/S0218202518500112
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- Article
MULTICONFIGURATION HARTREE-FOCK THEORY FOR PSEUDORELATIVISTIC SYSTEMS: THE TIME-DEPENDENT CASE.
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- Mathematical Models & Methods in Applied Sciences, 2014, v. 24, n. 3, p. 599, doi. 10.1142/S0218202513500619
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A DRIFT-DIFFUSION-REACTION MODEL FOR EXCITONIC PHOTOVOLTAIC BILAYERS: ASYMPTOTIC ANALYSIS AND A 2D HDG FINITE ELEMENT SCHEME.
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- Mathematical Models & Methods in Applied Sciences, 2013, v. 23, n. 5, p. 839, doi. 10.1142/S0218202512500625
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GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR FOR A SEMICONDUCTOR DRIFT-DIFFUSION-POISSON MODEL.
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- Mathematical Models & Methods in Applied Sciences, 2008, v. 18, n. 3, p. 443, doi. 10.1142/S0218202508002735
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MODEL HIERARCHIES FOR CELL AGGREGATION BY CHEMOTAXIS.
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- Mathematical Models & Methods in Applied Sciences, 2006, v. 16, p. 1173, doi. 10.1142/S0218202506001509
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ON THE GROSS–PITAEVSKII EQUATION WITH STRONGLY ANISOTROPIC CONFINEMENT:: FORMAL ASYMPTOTICS AND NUMERICAL EXPERIMENTS.
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- Mathematical Models & Methods in Applied Sciences, 2005, v. 15, n. 5, p. 767, doi. 10.1142/S0218202505000534
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Orbital stability of standing waves of a class of fractional Schrödinger equations with Hartree-type nonlinearity.
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- Analysis & Applications, 2017, v. 15, n. 5, p. 699, doi. 10.1142/S0219530516500056
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- Article
Biological transportation networks: Modeling and simulation.
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- Analysis & Applications, 2016, v. 14, n. 1, p. 185, doi. 10.1142/S0219530515400059
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- Article
Kinetic Relaxation Models for Energy Transport.
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- Journal of Statistical Physics, 2007, v. 127, n. 2, p. 287, doi. 10.1007/s10955-006-9273-x
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- Article
Semiclassical Asymptotics for Weakly Nonlinear Bloch Waves.
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- Journal of Statistical Physics, 2004, v. 117, n. 1/2, p. 343, doi. 10.1023/B:JOSS.0000044070.34410.17
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Asymptotic behaviour of solutions of the hydrodynamic model of semiconductors.
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- Proceedings of the Royal Society of Edinburgh: Section A: Mathematics, 2001, v. 132, n. 2, p. 359, doi. 10.1017/S0308210500001670
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On the Gross-Pitaevskii Equation with Pumping and Decay: Stationary States and Their Stability.
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- Journal of Nonlinear Science, 2015, v. 25, n. 3, p. 709, doi. 10.1007/s00332-015-9239-8
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- Article
Numerical Study of Oscillatory Regimes in the Kadomtsev–Petviashvili Equation.
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- Journal of Nonlinear Science, 2007, v. 17, n. 5, p. 429, doi. 10.1007/s00332-007-9001-y
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- Article
Self-regulated biological transportation structures with general entropy dissipations, part Ⅰ: The 1D case.
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- Journal of Dynamics & Games, 2024, v. 11, n. 1, p. 1, doi. 10.3934/jdg.2023022
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Comparison of Two Aspects of a PDE Model for Biological Network Formation.
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- Mathematical & Computational Applications, 2022, v. 27, n. 5, p. 87, doi. 10.3390/mca27050087
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The Drift-Diffusion Limit for Electron-Phonon Interaction in Semiconductors.
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- Mathematical Models & Methods in Applied Sciences, 1997, v. 7, n. 5, p. 707, doi. 10.1142/S0218202597000384
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RELAXATION TIME APPROXIMATION FOR ELECTRON-PHONON INTERACTION IN SEMICONDUCTORS.
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- Mathematical Models & Methods in Applied Sciences, 1995, v. 5, n. 4, p. 519, doi. 10.1142/S0218202595000309
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THE CLASSICAL LIMIT OF A SELF-CONSISTENT QUANTUM-VLASOV EQUATION IN 3D.
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- Mathematical Models & Methods in Applied Sciences, 1993, v. 3, n. 1, p. 109, doi. 10.1142/S0218202593000072
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A PHASE PLANE ANALYSIS OF TRANSONIC SOLUTIONS FOR THE HYDRODYNAMIC SEMICONDUCTOR MODEL.
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- Mathematical Models & Methods in Applied Sciences, 1991, v. 1, n. 3, p. 347, doi. 10.1142/S0218202591000174
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THE ONE-DIMENSIONAL PERIODIC BLOCH-POISSON EQUATION.
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- Mathematical Models & Methods in Applied Sciences, 1991, v. 1, n. 1, p. 83, doi. 10.1142/S021820259100006X
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- Article
The initial time layer problem and the quasineutral limit in the semiconductor drift-diffusion model.
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- European Journal of Applied Mathematics, 2001, v. 12, n. 4, p. 497, doi. 10.1017/S0956792501004533
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Mathematical and computational methods for semiclassical Schrödinger equations.
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- Acta Numerica, 2011, v. 20, n. 1, p. 121, doi. 10.1017/S0962492911000031
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- Article