Global regularity for the 3D inhomogeneous incompressible Navier-Stokes equations with damping

Kwang-Ok Li; Yong-Ho Kim

Applications of Mathematics (2023)

  • Volume: 68, Issue: 2, page 191-207
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Li, Kwang-Ok, and Kim, Yong-Ho. "Global regularity for the 3D inhomogeneous incompressible Navier-Stokes equations with damping." Applications of Mathematics 68.2 (2023): 191-207. <http://eudml.org/doc/299531>.

@article{Li2023,
abstract = {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.},
author = {Li, Kwang-Ok, Kim, Yong-Ho},
journal = {Applications of Mathematics},
keywords = {inhomogeneous incompressible fluid; Navier-Stokes equations; damping; global regularity},
language = {eng},
number = {2},
pages = {191-207},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Global regularity for the 3D inhomogeneous incompressible Navier-Stokes equations with damping},
url = {http://eudml.org/doc/299531},
volume = {68},
year = {2023},
}

TY - JOUR
AU - Li, Kwang-Ok
AU - Kim, Yong-Ho
TI - Global regularity for the 3D inhomogeneous incompressible Navier-Stokes equations with damping
JO - Applications of Mathematics
PY - 2023
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 68
IS - 2
SP - 191
EP - 207
AB - 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.
LA - eng
KW - inhomogeneous incompressible fluid; Navier-Stokes equations; damping; global regularity
UR - http://eudml.org/doc/299531
ER -

References

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