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Local existence and uniqueness of Euler equation in weighted Sobolev space

Article ID Journal Published Year Pages File Type
5774844 Journal of Mathematical Analysis and Applications 2017 12 Pages PDF
Abstract
In this paper we study the existence and uniqueness of Euler equation in the weighted Sobolev space. This is motivated by the study of inviscid limit of Navier-Stokes equation in half plane. The use of the weighted Calderón-Zygmund inequality in the estimate of the pressure term is the improvement of our work.
Keywords
Incompressible Euler equationWeighted Sobolev spaceExistence and uniqueness
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
Local existence and uniqueness of Euler equation in weighted Sobolev space
Authors
Feng Cheng,
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Journal
Journal of Mathematical Analysis and Applications
Journal: Journal of Mathematical Analysis and Applications
Related Categories
Incompressible Euler equation
Weighted Sobolev space
Existence and uniqueness
Algebra and Number Theory
Analysis
Applied Mathematics
Computational Mathematics
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