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arxiv: 1202.0111 · v4 · pith:D6WBUMTQnew · submitted 2012-02-01 · 🧮 math.AP

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

classification 🧮 math.AP
keywords decayeuler-maxwellglobalnon-isentropicratesystemasymptoticcompressible
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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.

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