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Global stability of solutions with discontinuous initial datacontaining vacuum states for the isentropic Euler equations
Authors:Yachun?Li  author-information"  >  author-information__contact u-icon-before"  >  mailto:ycli@mail.sjtu.edu.cn"   title="  ycli@mail.sjtu.edu.cn"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author
Affiliation:(1) Department of Mathematics, Shanghai Jiaotong University, 20030 Shanghai, PRC
Abstract:The global stability of Lipschitz continuous solutionswith discontinuous initial data is established in a broad class ofentropy solutions in 
$$L^infty$$ 
containing vacuum states. Inparticular, the uniqueness of Lipschitz solutions withdiscontinuous initial data is obtained in the broad class ofentropy solutions in 
$$L^infty$$ 
.
Keywords:Primary 35B40  35A05  76N15  Secondary 35B35  35L65
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