期刊
COMMUNICATIONS IN MATHEMATICAL SCIENCES
卷 13, 期 1, 页码 225-247出版社
INT PRESS BOSTON, INC
DOI: 10.4310/CMS.2015.v13.n1.a11
关键词
Compressible micropolar fluids; vacuum; large oscillation; global weak solution; large-time behavior
资金
- National Science Foundation of China [11171228, 11301431, 11271306]
- Fundamental Research Funds for the Central Universities [2012121005]
- Independent Innovation Foundation of Shandong University [2013ZRQP001]
In this paper, we study the global existence of weak solutions to the Cauchy problem for three-dimensional equations of compressible micropolar fluids with discontinuous initial data. Here it is assumed that the initial energy is suitably small in L-2, that the initial density is bounded in L-infinity, and the gradients of initial velocity and microrotational velocity are bounded in L-2. Particularly, this implies that the initial data may contain vacuum states and the oscillations of solutions could be arbitrarily large. As a by product, we also prove the global existence of smooth solutions with strictly positive density and small initial-energy.
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