Global Existence and Long-Time Behavior of Solutions to the Full Compressible Euler Equations with Damping and Heat Conduction in

Yunshun Wu, Yong Wang and Rong Shen

Advances in Mathematical Physics, 2021, vol. 2021, 1-13

Abstract:

We study the Cauchy problem of the three-dimensional full compressible Euler equations with damping and heat conduction. We prove the existence and uniqueness of the global small solution; in particular, we only require that the norms of the initial data be small when . Moreover, we use a pure energy method to show that the global solution converges to the constant equilibrium state with an optimal algebraic decay rate as time goes to infinity.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:5512285

DOI: 10.1155/2021/5512285

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