JournalsaihpcVol. 37, No. 2pp. 457–488

Convergence to equilibrium for the solution of the full compressible Navier-Stokes equations

  • Zhifei Zhang

    School of Mathematical Science, Peking University, 100871, Beijing, PR China

  • Ruizhao Zi

    School of Mathematics and Statistics & Hubei Key Laboratory of Mathematical Sciences, Central China Normal University, Wuhan, 430079, PR China
Convergence to equilibrium for the solution of the full compressible Navier-Stokes equations cover

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Abstract

We study the convergence to equilibrium for the full compressible Navier-Stokes equations on the torus . Under the conditions that both the density ρ and the temperature θ possess uniform in time positive lower and upper bounds, it is shown that global regular solutions converge to equilibrium with exponential rate. We improve the previous result obtained by Villani in (2009) [28] on two levels: weaker conditions on solutions and faster decay rates.

Cite this article

Zhifei Zhang, Ruizhao Zi, Convergence to equilibrium for the solution of the full compressible Navier-Stokes equations. Ann. Inst. H. Poincaré Anal. Non Linéaire 37 (2020), no. 2, pp. 457–488

DOI 10.1016/J.ANIHPC.2019.09.001