Geodesic
Global regularity for the 3D inhomogeneous incompressible Navier-Stokes equations with damping
Applications of Mathematics, Tome 68 (2023) no. 2, pp. 191-207.

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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.
DOI : 10.21136/AM.2022.0166-21
Classification : 35Q30, 76D03, 76D05
Keywords: inhomogeneous incompressible fluid; Navier-Stokes equations; damping; global regularity 
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     title = {Global regularity for the {3D} inhomogeneous incompressible {Navier-Stokes} equations with damping},
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Li, Kwang-Ok; Kim, Yong-Ho. Global regularity for the 3D inhomogeneous incompressible Navier-Stokes equations with damping. Applications of Mathematics, Tome 68 (2023) no. 2, pp. 191-207. doi : 10.21136/AM.2022.0166-21. http://geodesic.mathdoc.fr/articles/10.21136/AM.2022.0166-21/

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