TY - JOUR
T1 - Local existence with physical vacuum boundary condition to Euler equations with damping
AU - Xu, Chao-Jiang
AU - Yang, Tong
PY - 2005/3/1
Y1 - 2005/3/1
N2 - 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.
AB - 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.
KW - Euler equations
KW - Littlewood-Paley theory
KW - Local existence
KW - Physical vacuum boundary condition
UR - http://www.scopus.com/inward/record.url?scp=12344269056&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-12344269056&origin=recordpage
U2 - 10.1016/j.jde.2004.06.005
DO - 10.1016/j.jde.2004.06.005
M3 - RGC 21 - Publication in refereed journal
SN - 0022-0396
VL - 210
SP - 217
EP - 231
JO - Journal of Differential Equations
JF - Journal of Differential Equations
IS - 1
ER -