Global well-posedness of 2D Euler-α equation in exterior domain-Reference-Cited by-同舟云学术

Global well-posedness of 2D Euler-α equation in exterior domain

Published:2022-10-13 Issue:11 Volume:35 Page:5852-5879
ISSN:0951-7715
Container-title:Nonlinearity
language:
Short-container-title:Nonlinearity

Author:

You Xiaoguang^ORCID,Zang Aibin^ORCID,Li Yin^ORCID

Abstract

Abstract After casting Euler-α equations into vorticity-stream function formula, we obtain some very useful estimates from the properties of the vorticity formula in exterior domain. Basing on these estimates, one can have got the global existence and uniqueness of the solutions to Euler-α equations in 2D exterior domain provided that the initial data is regular enough.

Funder

National Natural Science Foundation of China

Natural Science Foundation of Guangdong Province

Publisher

IOP Publishing

Subject

Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://iopscience.iop.org/article/10.1088/1361-6544/ac9508/pdf

Reference20 articles.

1. On the boundedness of the Stokes semigroup in two-dimensional exterior domains;Borchers;Math. Z.,1993

2. The limit α → 0 of the α-Euler equations in the half-plane with no-slip boundary conditions and vortex sheet initial data;Busuioc;SIAM J. Math. Anal.,2020

3. On second grade fluids with vanishing viscosity;Busuioc;C. R. Acad. Sci., Paris I,1999

4. Ordinary differential equations, transport theory and Sobolev spaces;DiPerna;Invent. Math.,1989

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