Global existence and large time behavior of solutions to the bipolar nonisentropic Euler-Poisson equations

DOI10.1155/2014/213569zbMath1468.35098OpenAlexW2052224928WikidataQ59036093 ScholiaQ59036093MaRDI QIDQ1722357

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/213569

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial-boundary value problems for mixed-type systems of PDEs (35M33) PDEs in connection with semiconductor devices (35Q81)

Cites Work

Global existence and asymptotic behavior of solutions to the nonisentropic bipolar hydrodynamic models
Quasi-neutral limit of the two-fluid Euler-Poisson system
Relaxation-time limit of the multidimensional bipolar hydrodynamic model in Besov space
Global existence and asymptotic behavior of the solutions to the three-dimensional bipolar Euler-Poisson systems
Existence and uniqueness of stationary solutions to a one-dimensional bipolar hydrodynamic model of semiconductors
Large time behavior and quasineutral limit of solutions to a bipolar hydrodynamic model with large data and vacuum
Large time behavior of solutions of the bipolar hydrodynamical model for semiconductors.
Convergence rates to nonlinear diffusion waves for solutions of system of hyperbolic conservation laws with damping
Quasi-hydrodynamic semiconductor equations
The bipolar hydrodynamic model for semiconductors and the drift-diffusion equations
Stability of stationary waves for full Euler-Poisson system in multi-dimensional space
Global smooth solutions to the multidimensional hydrodynamic model for plasmas with insulating boundary conditions
Diffusion relaxation limit of a bipolar hydrodynamic model for semiconductors
Global existence and asymptotic behavior for a multidimensional nonisentropic hydrodynamic semiconductor model with the heat source
Existence and some limits of stationary solutions to a one-dimensional bipolar Euler-Poisson system
Large Time Behavior of Solutions ton-Dimensional Bipolar Hydrodynamic Models for Semiconductors
A class of similarity solutions of the nonlinear diffusion equation
THE GLOBAL WEAK SOLUTION AND RELAXATION LIMITS OF THE INITIAL–BOUNDARY VALUE PROBLEM TO THE BIPOLAR HYDRODYNAMIC MODEL FOR SEMICONDUCTORS
ON THE 3-D BIPOLAR ISENTROPIC EULER–POISSON MODEL FOR SEMICONDUCTORS AND THE DRIFT-DIFFUSION LIMIT

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