Mengqian Liu, Lei Niu, Zhigang Wu
Abstract:
In this article, we study the Cauchy problem for 3D fractional compressible
isentropic generalized Navier-Stokes equations for viscous compressible
fluid with one Levy diffusion process.
We first obtain the existence and uniqueness of global strong solutions
for small initial data by providing several commutators via the
Littlewood-Paley theory.
We then derive the L^2-decay rate for the highest derivative of the
strong solution without decay loss by using a cancellation
of a low-medium-frequency quantity.
Our results improve those provided recently in [36].
Submitted June 30, 2024. Published April 6, 2025.
Math Subject Classifications: 35A09, 35B40;,35Q35.
Key Words: Fractional Navier-Stokes equations; global well-posedness; uniqueness; optimal decay rate; Littlewood-Paley theory.
DOI: 10.58997/ejde.2025.35
Show me the PDF file (453 KB), TEX file for this article.
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Mengqian Liu School of Mathematics and Statistics Donghua University Shanghai 201620, China email: hbulmq@163.com |
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| Lei Niu School of Mathematics and Statistics Donghua University Shanghai 201620, China email: lei.niu@dhu.edu.cn | |
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Zhigang Wu School of Mathematics and Statistics Donghua University Shanghai 201620, China email: zhigangwu@hotmail.com |
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