Local well-posedness of the three dimensional compressible Euler-Poisson equations with physical vacuum

详细信息    查看全文

• 作者：Xumin Gu^a ; ^{xumingu11@fudan.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Zhen Lei^b ; ^{leizhn@yahoo.com" class="auth_mail" title="E-mail the corresponding author} ; ^{zlei@fudan.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：35Q35 ; 35A09 ; 35B30 ; 76N10 ; 76X05
• 刊名：Journal de mathematiques pures et appliquees
• 出版年：2016
• 出版时间：May 2016
• 年：2016
• 卷：105
• 期：5
• 页码：662-723
• 全文大小：902 K

文摘

This paper is concerned with the three dimensional compressible Euler–Poisson equations with moving physical vacuum boundary condition. This fluid system is usually used to describe the motion of a self-gravitating inviscid gaseous star. The local existence of classical solutions for initial data in certain weighted Sobolev spaces is established in the case that the adiabatic index satisfies class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0021782415001609&_mathId=si1.gif&_user=111111111&_pii=S0021782415001609&_rdoc=1&_issn=00217824&md5=2e0a6bb4b413dd6d591f24024a9b46ac" title="Click to view the MathML source">1<γ<3class="mathContainer hidden">class="mathCode">$1<\gamma <3$.