LIQUID_CRYSTALS

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WEAK-STRONG UNIQUENESS FOR THREE DIMENSIONAL INCOMPRESSIBLE ACTIVE LIQUID CRYSTALS
《Acta Mathematica Scientia》2024年第4期1415-1440,共26页Fan YANG Congming LI 
partially supported by NSFC(11831003,12031012);the Institute of Modern Analysis-A Frontier Research Center of Shanghai。
The hydrodynamics of active liquid crystal models has attracted much attention in recent years due to many applications of these models.In this paper,we study the weak-strong uniqueness for the Leray-Hopf type weak so...
关键词：analysis of parabolic and elliptic types weak-strong uniqueness active liquid crystals weak solution energy equality 
ON GLOBAL BEHAVIOR OF WEAK SOLUTIONS OF COMPRESSIBLE FLOWS OF NEMATIC LIQUID CRYSTALS
《Acta Mathematica Scientia》2015年第3期650-672,共23页王伟伟 
In this article, we investigate the global behavior of weak solutions of a simplified Ericksen-Leslie system for compressible flows of nematic liquid crystals in time in a bounded three-dimension domain-arbitrary forc...
关键词：Liquid crystals weak solutions bounded absorbing set bounded trajectories ATTRACTOR 
INCOMPRESSIBLE LIMIT OF A COMPRESSIBLE LIQUID CRYSTALS SYSTEM被引量：1
《Acta Mathematica Scientia》2013年第3期781-796,共16页郝乙行 刘宪高 
supported by National Natural Science Foundation of China-NSAF: 11071043, 11131005
This article is devoted to the study of the so-called incompressible limit for solutions of the compressible liquid crystals system. We consider the problem in the whole space R^N and a bounded domain of R^N with Diri...
关键词：Compressible liquid crystals incompressible liquid crystals Mach number 
TANGENT UNIT-VECTOR FIELDS:NONABELIAN HOMOTOPY INVARIANTS AND THE DIRICHLET ENERGY
《Acta Mathematica Scientia》2010年第5期1357-1399,共43页A.Majumdar J.M.Robbins M.Zyskin 
supported by a Royal Commission for the Exhibition of 1851 Research Fellowship between 2006-2008;supported by Award No.KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST) to the Oxford Centre for Collaborative Applied Mathematics
Let O be a closed geodesic polygon in S2. Maps from O into S2 are said to satisfy tangent boundary conditions if the edges of O are mapped into the geodesics which contain them. Taking O to be an octant of S2, we comp...
关键词：harmonic maps conformal maps algebraic topology non-abelian homotopy invariants eombinatorics liquid crystals 
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