Well-posedness for the heat flow of harmonic maps and the liquid crystal flow with rough initial data

Well-posedness for the heat flow of harmonic maps and the liquid crystal flow with rough initial data
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DOI:
10.1007/s00205-010-0343-5
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发表时间:
2010-01
影响因子:
2.5
通讯作者:
Changyou Wang
Changyou Wang
中科院分区:
数学1区
文献类型:
--
作者:
Changyou Wang

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本文研究了(1)BMO中到紧致黎曼流形N上的调和映射的热流和(2)BMO−1× BMO中到紧致黎曼流形N上的液晶流体力学流的适定性.
We investigate the well-posedness of (1) the heat flow of harmonic maps fromto a compact Riemannian manifoldNwithout boundary for initial data in BMO; and (2) the hydrodynamic flow (u,d) of nematic liquid crystals onfor initial data in BMO−1× BMO.