Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9501764 | Journal of Differential Equations | 2005 | 15 Pages |
Abstract
In this paper, we consider the local existence of solutions to Euler equations with linear damping under the assumption of physical vacuum boundary condition. By using the transformation introduced in Lin and Yang (Methods Appl. Anal. 7 (3) (2000) 495) to capture the singularity of the boundary, we prove a local existence theorem on a perturbation of a planar wave solution by using Littlewood-Paley theory and justifies the transformation introduced in Liu and Yang (2000) in a rigorous setting.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Chao-Jiang Xu, Tong Yang,