Weak solutions of the isothermal bipolar hydrodynamic model for semiconductors with large data

DOI10.1007/s11859-014-0980-xzbMath1313.35258OpenAlexW2140417670MaRDI QIDQ2927288

Jian-feng Mao

Publication date: 3 November 2014

Published in: Wuhan University Journal of Natural Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11859-014-0980-x

zbMATH Keywords

weak solutionbipolar hydrodynamic modelGlimm scheme

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Weak solutions to PDEs (35D30)

Cites Work

• Unnamed Item
• Convergence of the fractional step Lax-Friedrichs scheme and Godunov scheme for the isentropic system of gas dynamics
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• Stability of steady state solutions for an isentropic hydrodynamic model of semiconductors of two species
• Global smooth solutions to the multi-dimensional hydrodynamic model for two-carrier plasmas
• Quasi-hydrodynamic semiconductor equations
• Global solutions to the isothermal Euler-Poisson system with arbitrarily large data
• The bipolar hydrodynamic model for semiconductors and the drift-diffusion equations
• Diffusion relaxation limit of a bipolar hydrodynamic model for semiconductors
• Existence and some limits of stationary solutions to a one-dimensional bipolar Euler-Poisson system
• ON THE 3-D BIPOLAR ISENTROPIC EULER–POISSON MODEL FOR SEMICONDUCTORS AND THE DRIFT-DIFFUSION LIMIT
• THE GLOBAL WEAK SOLUTION AND RELAXATION LIMITS OF THE INITIAL–BOUNDARY VALUE PROBLEM TO THE BIPOLAR HYDRODYNAMIC MODEL FOR SEMICONDUCTORS
• Solutions in the large for nonlinear hyperbolic systems of equations

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