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Title: Global regularity for the 3D inhomogeneous incompressible Navier-Stokes equations with damping (English)
Author: Li, Kwang-Ok
Author: Kim, Yong-Ho
Language: English
Journal: Applications of Mathematics
ISSN: 0862-7940 (print)
ISSN: 1572-9109 (online)
Volume: 68
Issue: 2
Year: 2023
Pages: 191-207
Summary lang: English
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Category: math
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Summary: This paper is concerned with the 3D inhomogeneous incompressible Navier-Stokes equations with damping. We find a range of parameters to guarantee the existence of global strong solutions of the Cauchy problem for large initial velocity and external force as well as prove the uniqueness of the strong solutions. This is an extension of the theorem for the existence and uniqueness of the 3D incompressible Navier-Stokes equations with damping to inhomogeneous viscous incompressible fluids. (English)
Keyword: inhomogeneous incompressible fluid
Keyword: Navier-Stokes equations
Keyword: damping
Keyword: global regularity
MSC: 35Q30
MSC: 76D03
MSC: 76D05
idZBL: Zbl 07675566
idMR: MR4574653
DOI: 10.21136/AM.2022.0166-21
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Date available: 2023-03-31T09:35:30Z
Last updated: 2023-09-13
Stable URL: http://hdl.handle.net/10338.dmlcz/151612
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