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

Yue Hong Feng, Shu Wang, Shuichi Kawashima

    Research output: Contribution to journalArticlepeer-review

    25 Citations (Scopus)

    Abstract

    The non-isentropic compressible Euler-Maxwell system is investigated in R3 in this paper, and the Lq 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 Lq norm. This phenomenon on the charge transport shows the essential relation of the equations with the non-isentropic Euler-Maxwell and the isentropic Euler-Maxwell equations.

    Original languageEnglish
    Pages (from-to)2851-2884
    Number of pages34
    JournalMathematical Models and Methods in Applied Sciences
    Volume24
    Issue number14
    DOIs
    Publication statusPublished - Dec 30 2014

    All Science Journal Classification (ASJC) codes

    • Modelling and Simulation
    • Applied Mathematics

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