Local existence with physical vacuum boundary condition to Euler equations with damping
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 217-231 |
| Journal / Publication | Journal of Differential Equations |
| Volume | 210 |
| Issue number | 1 |
| Publication status | Published - 1 Mar 2005 |
Link(s)
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. © 2004 Elsevier Inc. All rights reserved.
Research Area(s)
- Euler equations, Littlewood-Paley theory, Local existence, Physical vacuum boundary condition
Citation Format(s)
Local existence with physical vacuum boundary condition to Euler equations with damping. / Xu, Chao-Jiang; Yang, Tong.
In: Journal of Differential Equations, Vol. 210, No. 1, 01.03.2005, p. 217-231.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
