Global Existence and Long-Time Behavior of Solutions to the Full Compressible Euler Equations with Damping and Heat Conduction in ℝ3

Autor: Wu, Yunshun, Wang, Yong, Shen, Rong
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Advances in Mathematical Physics, Vol 2021 (2021)
ISSN: 1687-9139
1687-9120
Popis: 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 HNN≥3 solution; in particular, we only require that the H4 norms of the initial data be small when N≥5. 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.
Databáze: OpenAIRE
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