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

Yuehong Feng; Shu Wang; Shuichi Kawashima

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

Analysis of PDEs 2012-03-01 v4

Authors: Yuehong Feng , Shu Wang , Shuichi Kawashima

Abstract

The non-isentropic compressible Euler-Maxwell system is investigated in $R^3$ 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.

Keywords

non-isentropic euler-maxwell system global smooth solution asymptotic decay time decay rate equilibrium states compressible flow

Cite

@article{arxiv.1202.0111,
  title  = {Global existence and asymptotic decay of solutions to the Non-isentropic Euler-Maxwell system},
  author = {Yuehong Feng and Shu Wang and Shuichi Kawashima},
  journal= {arXiv preprint arXiv:1202.0111},
  year   = {2012}
}

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