Year: 2010
Type: article
Abstract: This paper is concerned with the time-asymptotic behavior of solutions to the threedimensional magnetohydrodynamics (MHD) for viscous compressible isentropic fluids.By exploiting some L p -L q estimates of solutions for the heat equation and the linearized Navier-Stokes system, the optimal decay estimates of the solution in L q with 2 ≤ q ≤ 6 and its first order derivative in L 2 are obtained when the initial perturbation around a constant state is sufficiently small in H 3 and is bounded in L p with any given 1 ≤ p < 6/5.As a byproduct, the global existence theorem is also proved.
Authors: Jianwen Zhang, Junning Zhao
Institution: Xiamen University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2016117808