三维微极流体方程和广义磁流体方程正则性准则.pdf

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2、omputationalScienceProgramPureMathematicsSpecialityPartialDierentialEquations`DegreeMasterofScienceUniversityXiangtanUniversityDateApril10th,2012‰ŒÆÆØ©M5(²¤JŠ¬.é©ïĉѕ‡z‡<Ú8N,þ®3©¥±²(•ª

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7、÷vpq233uz(x;t)2L(0;T;L);+;…q1;pq@of)=•r).'…c:K5OK;‡46N•§;2Â^6N•§;UþتIAbstractInthispaper,weestablishedtwonewregularitycriteriaformicropolar uid owsandthegeneralizedMHDequ

8、ationsrespectively,usingenergyinequality.Thecriteriaintermsofthederivativeofthevelocityeldinonedirection.Tomicrop-olar uidequations,weprovedthat,ifthevelocityeldsatisespq23uz(x;t)2L(0;T;L)+61;andq3pqthenthesolutionremainssmooth.WhiletothegeneralizedMHDequations,we

9、provedthat,ifthevelocityeldsat-isespq233uz(x;t)2L(0;T;L);+;andq1;pqthentheweaksolutionbecomesthestrongsolution.Keywords:regularitycriteria;micropolar;generalizedMHDequations;energyinequalityII8¹11ÙÚó........................................................(1)1.1ï

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