Relaxation-Time Limit in the Isothermal Hydrodynamic Model for Semiconductors

DOI10.1137/080721893zbMath1181.35015OpenAlexW1986254638MaRDI QIDQ3398276

Jiang Xu

Publication date: 28 September 2009

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

Full work available at URL: https://doi.org/10.1137/080721893

zbMATH Keywords

decomposition methodsdrift-diffusion modelcritical Besov space

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Statistical mechanics of semiconductors (82D37) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (14)

Relaxation-time limits of non-isentropic hydrodynamic models for semiconductors ⋮ Initial layer and relaxation limit of non-isentropic compressible Euler equations with damping ⋮ Global classical solutions for partially dissipative hyperbolic system of balance laws ⋮ Diffusive relaxation limits of compressible Euler-Maxwell equations ⋮ Relaxation-time limit of the multidimensional bipolar hydrodynamic model in Besov space ⋮ The relaxation-time limit in the compressible Euler-Maxwell equations ⋮ Energy-transport and drift-diffusion limits of nonisentropic Euler-Poisson equations ⋮ A sharp time-weighted inequality for the compressible Navier-Stokes-Poisson system in the critical \(L^p\) framework ⋮ ENERGY-TRANSPORT LIMIT OF THE HYDRODYNAMIC MODEL FOR SEMICONDUCTORS ⋮ Strong relaxation limit of multi-dimensional isentropic Euler equations ⋮ Relaxation-time limit in the multi-dimensional bipolar nonisentropic Euler-Poisson systems ⋮ Relaxation limit in bipolar semiconductor hydrodynamic model with non-constant doping profile ⋮ Relaxation-time limit and initial layer in the isentropic hydrodynamic model for semiconductors ⋮ The optimal decay estimates on the framework of Besov spaces for the Euler–Poisson two-fluid system

This page was built for publication: Relaxation-Time Limit in the Isothermal Hydrodynamic Model for Semiconductors