The well-posedness of the compressible non-isentropic Euler-Maxwell system in R³

2012/11/21 by Zhong Tan, Yong Wang, Tan, Zhong +1 · 1 citation
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1211.5034

arXiv admin note: substantial text overlap with arXiv:1207.2207

arxiv created 2012/11/21 · arxiv updated 2012/11/22

Abstract

We first construct the global unique solution by assuming that the initial data is small in the H³ norm but the higher order derivatives could be large. If further the initial data belongs to \DotH^-s (0≤ s<3/2) or B_2,∞^-s (0< s≤3/2), we obtain the various decay rates of the solution and its higher order derivatives. In particular, the decay rates of the density and temperature of electron could reach to (1+t)^-13/4 in L² norm.

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