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GLOBAL SMOOTH FLOWS FOR THE COMPRESSIBLE EULER–MAXWELL SYSTEM: THE RELAXATION CASE

RENJUN DUAN

Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong

https://doi.org/10.1142/S0219891611002421Cited by:92 (Source: Crossref)

Abstract

The Euler–Maxwell system regarded as a hydrodynamic model for plasma physics describes the dynamics of 'compressible electrons' in a constant, charged, non-moving ion background. A global smooth flow with small amplitude is constructed here in three space dimensions when the electron velocity relaxation is taken into account. The speed of the electron flow tending to a uniform equilibrium, and the pointwise behavior of solutions to the linearized homogeneous system in the frequency space are investigated in detail.

Keywords:

AMSC: 76X05, 76N10, 35B40

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