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The Weak Bounded Ancient Solution Of Liquid Crystals Equations

Posted on:2015-03-24Degree:MasterType:Thesis
Country:ChinaCandidate:Y Q ZhangFull Text:PDF
GTID:2180330464459787Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
G.Seregin[Z) had given a detailed description about the weak bounded ancient solution of Navier-Stokes equations, which is very important for the study the Type I singularities of the local Axi-symmetric solutions of Navier-Stokes Equations;It is shown that under certain nature assumptions there are no singularities of Type I. Partial regularity of Navier-Stokes equations, the sufficient conditions for the reg-ularity of axi-symmetric solution can be refered to G.Seregin[4][8], Liouville theo-rem for Navier-Stokes equations can refer to Koch, G., Nadirashvili, G.Seregin[7];. G.Seregin, L.Caf farelli, R.Kohn, Nirenberg and so on has studied Navier-Stokes equations and Fang-Hua Lin with Chun Liu [1] has done many works to the liquid crystals equations, based on these,in this paper we study the weak bounded an-cient solution of the Flow of liquid crystals equations,given a weak bounded ancient solution (v, d),we can define a regular part of the pressure pF, F=v⊕v+▽d☉▽d.
Keywords/Search Tags:Liquid Crystals Equations, Weak Bounded Ancient Solution, Local Regularity
PDF Full Text Request
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