Global solutions to the isothermal Euler-Poisson system with arbitrarily large data

DOI10.1006/jdeq.1995.1158zbMath0845.35123OpenAlexW2042771234MaRDI QIDQ1903048

Frederic Poupaud, Michel Rascle, Jean-Paul Vila

Publication date: 1 February 1996

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1995.1158

zbMATH Keywords

convergenceglobal existencesemiconductorhydrodynamic modelEuler-Poisson systemGlimm functionalGlimm scheme

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items

Discontinuous solutions for a hydrodynamic model of semiconductors, Threshold phenomenon in n-dimensional repulsive restricted Euler–Poisson equations with time-dependent damping, Quasineutral Limit of Euler–Poisson System with and without Viscosity, THE GLOBAL WEAK SOLUTION AND RELAXATION LIMITS OF THE INITIAL–BOUNDARY VALUE PROBLEM TO THE BIPOLAR HYDRODYNAMIC MODEL FOR SEMICONDUCTORS, THE GLOBAL WEAK SOLUTION AND RELAXATION LIMITS OF THE INITIAL–BOUNDARY VALUE PROBLEM TO THE BIPOLAR HYDRODYNAMIC MODEL FOR SEMICONDUCTORS, GLOBAL SOLUTION FOR ROTATING COMPRESSIBLE PLASMA FLOW WITH LARGE DATA, Asymptotic profile in a multi-dimensional stationary nonisentropic hydrodynamic semiconductor model, A review of hydrodynamical models for semiconductors: Asymptotic behavior, ON THE RELAXATION LIMITS OF THE HYDRODYNAMIC MODEL FOR SEMICONDUCTOR DEVICES, ASYMPTOTIC BEHAVIOR OF GLOBAL SMOOTH SOLUTIONS TO THE FULL 1D HYDRODYNAMIC MODEL FOR SEMICONDUCTORS, Weak solutions to a hydrodynamic model for semiconductors and relaxation to the drift-diffusion equation, Global solutions to the isothermal Euler-Poisson plasma model, Quantum Semiconductor Models, Asymptotic profile in a one-dimensional steady-state nonisentropic hydrodynamic model for semiconductors, Stationary solutions for a multi-dimensional nonisentropic hydrodynamic model for semiconductors, Existence of periodic solutions to an isothermal relativistic Euler system, Weak solutions of the isothermal bipolar hydrodynamic model for semiconductors with large data, An asymptotic preserving scheme for the two-fluid Euler-Poisson model in the quasineutral limit, On well-posedness and singularity formation for the Euler-Riesz system, Convergence of shock capturing schemes for the compressible Euler-Poisson equations, Uniformly time-independent \(L^\infty\) estimate for a one-dimensional hydrodynamic model of semiconductors, Thresholds in three-dimensional restricted Euler-Poisson equations., Global solutions and relaxation limit to the Cauchy problem of a hydrodynamic model for semiconductors, Periodic solutions to \(p\)-system constructed through Glimm scheme, Large time behavior of solutions of the bipolar hydrodynamical model for semiconductors., Steady Euler-Poisson systems: a differential/integral equation formulation with general constitutive relations, Critical thresholds in one-dimensional damped Euler–Poisson systems, Stability of steady states of the compressible Euler-Poisson system in \(\mathbb R^3\), Solutions for a hydrodynamic model of semiconductors, Analysis of a Sugimoto Model of Nonlinear Acoustics in an Array of Helmholtz Resonators, On the global regularity of subcritical Euler-Poisson equations with pressure, Global BV solutions to a \(p\)-system with relaxation, Existence of global solutions for isentropic gas flow with friction, Asymptotic stability of steady state solutions for the relativistic Euler-Poisson equations, Large time behavior of Euler-Poisson system for semiconductor, Local properties of an isothermal charged fluid: Initial-boundary value problem, Rigorous derivation of a Boltzmann relation from isothermal Euler-Poisson systems, Quantifying the hydrodynamic limit of Vlasov-type equations with alignment and nonlocal forces, Système Euler-Poisson non linéaire. Existence globale de solutions faibles entropiques, Zero relaxation time limits to isothermal hydrodynamic model for semiconductor, On the initial-boundary value problem for the bipolar hydrodynamic model for semiconductors, Asymptotic convergence to planar stationary waves for multi-dimensional unipolar hydrodynamic model of semiconductors, Subsonic solutions to a one-dimensional non-isentropic hydrodynamic model for semiconductors, Global existence and long-time behavior of smooth solutions of two-fluid Euler-Maxwell equations, Large-time behavior of solutions to unipolar Euler-Poisson equations with time-dependent damping, Global smooth solutions to the multi-dimensional hydrodynamic model for two-carrier plasmas, An improved local blow-up condition for Euler-Poisson equations with attractive forcing, Weak solutions to isothermal hydrodynamic model for semiconductor devices, Large time behavior of Euler-Poisson equations for isothermal fluids with spherical symmetry, Global zero-relaxation limit of the non-isentropic Euler–Poisson system for ion dynamics, STABILITY FOR SOLUTIONS OF A STATIONARY EULER–POISSON PROBLEM, The relaxation of the hydrodynamic model for semiconductors to the drift-diffusion equations, Convergence of the fractional step Lax-Friedrichs scheme and Godunov scheme for a nonlinear Euler-Poisson system, Redheffer Products and Numerical Approximation of Currents in One-Dimensional Semiconductor Kinetic Models, Existence of global weak solutions for a 3D Navier–Stokes–Poisson–Korteweg equations, Large-time behavior of the full compressible Euler-Poisson system without the temperature damping, An improved macroscopic model of traffic flow: Derivation and links with the Lighthill-Whitham model, Critical thresholds in 1D pressureless Euler-Poisson systems with variable background, A hierarchy of hydrodynamic models for plasmas zero-relaxation-time limits