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TITLE Expanding large global solutions of the equations of compressible fluid mechanics
KIAS AUTHORS Jang, Juhi
JOURNAL INVENTIONES MATHEMATICAE, 2018
ARCHIVE  
ABSTRACT 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.
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