On the Cauchy problem of 2D compressible fluid model with the horizontal thermal gradient effect

This article mainly investigates the existence of local strong solution to the Cauchy problem of the 2D compressible fluid model with the horizontal thermal gradient effect. By using delicate weighted energy estimates, the existence of a local strong solution is obtained with the initial density and...

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2025-01, Vol.541 (2), p.128722, Article 128722
Main Authors: Liu, Ruikuan, Wu, Chenlong, Yang, Jiayan
Format: Article
Language:English
Subjects:
Compressible fluid model
Strong solutions
The Cauchy problem
The horizontal thermal gradient effect
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Summary:This article mainly investigates the existence of local strong solution to the Cauchy problem of the 2D compressible fluid model with the horizontal thermal gradient effect. By using delicate weighted energy estimates, the existence of a local strong solution is obtained with the initial density and the initial temperature decay not too slowly at infinity.
ISSN:0022-247X
DOI:10.1016/j.jmaa.2024.128722