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

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...

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Bibliographic Details
Main Authors: Yunshun Wu, Yong Wang, Rong Shen
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2021/5512285