Expanding large global solutions of the equations of compressible fluid mechanics

• 成果类型: Article
• 署名作者: Hadzic, Mahir; Jang, Juhi
• 署名单位: University of Southern California; Korea Institute for Advanced Study (KIAS)
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-018-0821-1
• 发表日期: 2018
• 页码: 1205-1266
• 关键词: nonlinear future stability; euler-einstein system; well-posedness; smooth solutions; physical vacuum; viscosity method; flrw family; CONVERGENCE; EXISTENCE; motion

摘要

Without any symmetry assumptions on the initial data we construct global-in-time unique solutions to the vacuum free boundary three-dimensional isentropic compressible Euler equations when the adiabatic exponent. lies in the interval (1, 53]. Our initial data lie sufficiently close to the expanding compactly supported affine motions recently constructed by Sideris and they satisfy the physical vacuum boundary condition.