On the local wellposedness of free boundary problem for the Navier-Stokes equations in an exterior domain

Yoshihiro Shibata

Journal ArticleOPEN ACCESS

On the local wellposedness of free boundary problem for the Navier-Stokes equations in an exterior domain

Shibata Y

Communications on Pure and Applied Analysis (2018) 17(4) 1681-1721

DOI: 10.3934/cpaa.2018081

12Citations

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Abstract

This paper deals with the local well-posedness of free boundary problems for the Navier-Stokes equations in the case where the uid initially occupies an exterior domain Ω in N-dimensional Euclidian space ℝN.

Author supplied keywords

Exterior domains
Free boundary problem
Local well-posedness
Maximal Lp-Lq regularity
Navier-Stokes equations
Weak Dirichet problem
Without surface tension

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CITATION STYLE

APA

Shibata, Y. (2018). On the local wellposedness of free boundary problem for the Navier-Stokes equations in an exterior domain. Communications on Pure and Applied Analysis, 17(4), 1681–1721. https://doi.org/10.3934/cpaa.2018081

On the local wellposedness of free boundary problem for the Navier-Stokes equations in an exterior domain

Abstract

Author supplied keywords

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