Global existence and asymptotic decay of solutions to the Non-isentropic Euler-Maxwell system

2012/02/01 by Yuehong Feng, Yue‐Hong Feng, Shu Wang +4
Engineering · Mathematics · #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Navier-Stokes equation solutions #math.AP

paper · pdf · doi:10.48550/arxiv.1202.0111

31pages

openalex publication_date 2012/02/01 · arxiv created 2012/02/28 · arxiv updated 2012/03/01 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

The non-isentropic compressible Euler-Maxwell system is investigated in R³ in the present paper, and the L^q time decay rate for the global smooth solution is established. It is shown that the density and temperature of electron converge to the equilibrium states at the same rate (1+t)^-11/4 in L^q norm.

Citations

• The Cauchy problem for quasi-linear symmetric hyperbolic systems
• Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids

Related

• The well-posedness of the compressible non-isentropic Euler-Maxwell system in R³
• Global well-posedness of the compressible bipolar Euler-Maxwell system in R³
• Global solutions of Euler-Maxwell equations with dissipation
• Asymptotic stability of stationary solutions to the compressible Euler-Maxwell equations
• Asymptotic stability of stationary solutions to the compressible Euler-Maxwell equations