Asymptotic stability of solutions to the nonisentropic hydrodynamic model for semiconductors

DOI10.1007/s11766-008-0204-2zbMath1174.35084OpenAlexW2036089898MaRDI QIDQ1003930

Jiang Xu, Daoyuan Fang

Publication date: 6 March 2009

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-008-0204-2

zbMATH Keywords

asymptotic stabilitysmooth solutionssemiconductorhydrodynamic model

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) PDEs of mixed type (35M10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Cites Work

• Compressible fluid flow and systems of conservation laws in several space variables
• The initial value problem for the equations of motion of viscous and heat-conductive gases
• Global existence and exponential stability of smooth solutions to a full hydrodynamic model to semiconductors
• Global Existence of Smooth Solutions of theN-Dimensional Euler--Poisson Model
• The asymptotic behaviour of global smooth solutions to the multi-dimensional hydrodynamic model for semiconductors
• The energy transport and the drift diffusion equations as relaxation limits of the hydrodynamic model for semiconductors
• Global Existence and Relaxation Limit for Smooth Solutions to the Euler--Poisson Model for Semiconductors
• ASYMPTOTIC BEHAVIOR OF GLOBAL SMOOTH SOLUTIONS TO THE FULL 1D HYDRODYNAMIC MODEL FOR SEMICONDUCTORS
• GLOBAL EXPONENTIAL STABILITY OF CLASSICAL SOLUTIONS TO THE HYDRODYNAMIC MODEL FOR SEMICONDUCTORS
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