Journal
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
Volume 73, Issue 1, Pages -Publisher
SPRINGER INT PUBL AG
DOI: 10.1007/s00033-021-01662-z
Keywords
Axisymmetric Navier-Stokes; Global well-posedness; Weighted Sobolev inequality
Categories
Funding
- National Natural Science Foundation of China [11761009]
- Natural Science Foundation of Jiangxi Province [20202BABL201008]
Ask authors/readers for more resources
In this paper, the authors investigate a family of 3D models for the axisymmetric incompressible Navier-Stokes system by changing the strength of convection and adding a stirring force. The study shows global regularity when the strength of convection is stronger than that of the original Navier-Stokes system, indicating a potential stabilization effect of convection. This result addresses an open problem in a previous study by Hou-Liu-Wang (Nonlinearity 31:1940-1954, 2018).
In this paper, we investigate a family of 3D models for the axisymmetric incompressible Navier-Stokes system. The models are derived by changing the strength of convection and adding an stirring force. We show the global regularity when the strength of convection is stronger than that of the original Navier-Stokes system, which reveals the potential stabilization effect of convection. Our result answers an open problem in Hou-Liu-Wang (Nonlinearity 31:1940-1954, 2018).
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available
Share Paper
