This paper is concerned with the 3D incompressible Navier-Stokes equations with large external force. Through piecewise-estimate, the global existence of strong solutions is established for the case when the total mass is small with arbitrary large initial density. The initial vacuum is allowed. Published by AIP Publishing.
机构:
Univ Paris 06, Lab JL Lions, UMR 7598, F-75230 Paris 05, FranceUniv Paris 06, Lab JL Lions, UMR 7598, F-75230 Paris 05, France
Chemin, Jean-Yves
Gallagher, Isabelle
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机构:
Univ Paris Diderot, Inst Math Jussieu, F-75251 Paris 05, FranceUniv Paris 06, Lab JL Lions, UMR 7598, F-75230 Paris 05, France
Gallagher, Isabelle
Zhang, Ping
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机构:
Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100864, Peoples R ChinaUniv Paris 06, Lab JL Lions, UMR 7598, F-75230 Paris 05, France
Zhang, Ping
[J].
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK,
2013,
681
: 65
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82