On a Local Existence Theorem for a Simplified One-Dimensional Hydrodynamic Model for Semiconductor Devices

DOI10.1137/S0036141092224595zbMath0806.35179MaRDI QIDQ4302328

Bo Zhang

Publication date: 14 August 1994

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

quasilinear wave equationhydrodynamic modelEuler-Poisson equationsLagrangian mass coordinates

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Second-order nonlinear hyperbolic equations (35L70) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (10)

Discontinuous solutions for a hydrodynamic model of semiconductors ⋮ A review of hydrodynamical models for semiconductors: Asymptotic behavior ⋮ Uniformly time-independent \(L^\infty\) estimate for a one-dimensional hydrodynamic model of semiconductors ⋮ Global solutions and relaxation limit to the Cauchy problem of a hydrodynamic model for semiconductors ⋮ Solutions for a hydrodynamic model of semiconductors ⋮ Existence of global solutions for isentropic gas flow with friction ⋮ Asymptotic stability of steady state solutions for the relativistic Euler-Poisson equations ⋮ Particle hydrodynamic moment models in biology and microelectronics: Singular relaxation limits ⋮ Existence and large time behavior of entropy solutions to one-dimensional unipolar hydrodynamic model for semiconductor devices with variable coefficient damping ⋮ Large time behavior of entropy solutions to one-dimensional unipolar hydrodynamic model for semiconductor devices

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