Global Existence and Large Time Behavior for the 2‐D Compressible Navier‐Stokes Equations without Heat Conductivity

Shuofa Xiao and Haiyan Xu

Abstract and Applied Analysis, 2023, vol. 2023, issue 1

Abstract: In this paper, we consider an initial value problem for the 2‐D compressible Navier‐Stokes equations without heat conductivity. We prove the global existence of a strong solution when the initial perturbation is small in H2 and its L1 norm is bounded. Moreover, we derive some decay estimate for such a solution.

Date: 2023
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https://doi.org/10.1155/2023/2986348

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2023:y:2023:i:1:n:2986348

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