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- Title
Convergence to Steady-States of Compressible Navier–Stokes–Maxwell Equations.
- Authors
Feng, Yue-Hong; Li, Xin; Mei, Ming; Wang, Shu; Cao, Yang-Chen
- Abstract
In this paper, we consider the compressible Navier–Stokes–Maxwell equations with a non-constant background density in R 3 . We first show the existence and uniqueness of the non-trivial equilibrium (steady-state) of the system when the background density is a small variation of certain constant state, then we prove the asymptotic stability of the steady-state once the initial perturbation around the steady-state is small. Furthermore, by establishing the time-decay estimates for the corresponding linearized homogeneous equations, we artfully derive the time-algebraic convergence rates. The proof is based on the time-weighted energy method but with some new developments on the weight settings.
- Subjects
EQUATIONS
- Publication
Journal of Nonlinear Science, 2022, Vol 32, Issue 1, p1
- ISSN
0938-8974
- Publication type
Article
- DOI
10.1007/s00332-021-09763-9