On the large time behavior of the electromagnetic fluid system in R3

Xin Xu

doi:10.1016/j.nonrwa.2016.06.004

On the large time behavior of the electromagnetic fluid system in R³

Xin Xu

Research output: Contribution to journal › Article › peer-review

Abstract

This paper is concerned with the global existence and time-asymptotic behavior of solutions to the three dimensional complete electromagnetic fluid system (or Maxwell–Navier–Stokes equations) for viscous compressible fluids. The global classical solution is established when the initial data are small perturbations of some given constant state. Moreover, the optimal decay estimates of the solution in L^q with 2≤q≤6 and its higher-order spatial derivatives in L² are also obtained.

Original language	English
Pages (from-to)	83-99
Number of pages	17
Journal	Nonlinear Analysis: Real World Applications
Volume	33
DOIs	https://doi.org/10.1016/j.nonrwa.2016.06.004
State	Published - 1 Feb 2017
Externally published	Yes

Keywords

Energy estimate
Global existence
Large time behavior
Maxwell equation
Navier–Stokes equation

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10.1016/j.nonrwa.2016.06.004

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KW - Navier–Stokes equation

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On the large time behavior of the electromagnetic fluid system in R³

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Keywords

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