Global expanding solutions of compressible Euler equations with small initial densities

Global expanding solutions of compressible Euler equations with small initial densities
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DOI:
10.1090/qam/1580
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发表时间:
2019-04
影响因子:
0.8
通讯作者:
Shrish Parmeshwar;Mahir Hadžić;J. Jang
Shrish Parmeshwar;Mahir Hadžić;J. Jang
中科院分区:
数学4区
文献类型:
--
作者:
Shrish Parmeshwar;Mahir Hadžić;J. Jang

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我们证明了一大类无真空边界可压缩欧拉流的整体时间展开解的存在性,而不依赖于流的有限维特殊仿射解族的存在性。
We prove the existence of a large class of global-in-time expanding solutions to vacuum free boundary compressible Euler flows without relying on the existence of an underlying finite-dimensional family of special affine solutions of the flow.