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Long‐time behavior of solution for the compressible Navier‐Stokes‐Maxwell equations in R 3
Author(s) -
Mi Yongsheng,
Gao Jincheng
Publication year - 2017
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4672
Subject(s) - mathematics , compressibility , mathematical analysis , norm (philosophy) , fourier transform , perturbation (astronomy) , maxwell's equations , navier–stokes equations , constant (computer programming) , physics , mechanics , quantum mechanics , political science , computer science , law , programming language
In this paper, we are concerned with optimal decay rates for higher‐order spatial derivatives of classical solution to the compressible Navier‐Stokes‐Maxwell equations in three‐dimensional whole space. If the initial perturbation is small in H 3 ∩ L 1 ‐norm, we apply the Fourier splitting method to establish optimal decay rates for the second‐order spatial derivatives of a solution. As a by‐product, the rate of classical solution converging to the constant equilibrium state in L ∞ ‐norm is( 1 + t ) − 3 2.