A note on the stochastic Ericksen-Leslie equations for nematic liquid crystals
作者： Zdzisław Brzeźniak , , Erika Hausenblas , Paul André Razafimandimby ,
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摘要: In this note we prove the existence and uniqueness of local maximal smooth solution stochastic simplified Ericksen-Leslie systems modelling dynamics nematic liquid crystals under perturbations.
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El Maati Ouhabaz, Analysis of Heat Equations on Domains ,(2004)
Roger Temam, Navier-Stokes Equations and Nonlinear Functional Analysis ,(1987)
Werner Horsthemke, René Lefever, Noise-Induced Transitions: Theory and Applications in Physics, Chemistry, and Biology ,(2007)
Fanghua Lin, Changyou Wang, On the uniqueness of heat flow of harmonic maps and hydrodynamic flow of nematic liquid crystals Chinese Annals of Mathematics, Series B. ,vol. 31, pp. 921- 938 ,(2010) , 10.1007/S11401-010-0612-5
F. M. Leslie, Some constitutive equations for liquid crystals Archive for Rational Mechanics and Analysis. ,vol. 28, pp. 265- 283 ,(1968) , 10.1007/BF00251810
BLANCA CLIMENT-EZQUERRA, FRANCISCO GUILLÉN-GONZÁLEZ, A review of mathematical analysis of nematic and smectic-A liquid crystal models European Journal of Applied Mathematics. ,vol. 25, pp. 133- 153 ,(2014) , 10.1017/S0956792513000338
Min-Chun Hong, Global existence of solutions of the simplified Ericksen–Leslie system in dimension two Calculus of Variations and Partial Differential Equations. ,vol. 40, pp. 15- 36 ,(2011) , 10.1007/S00526-010-0331-5
J. P. Straley, Liquid Crystals in Two Dimensions Physical Review A. ,vol. 4, pp. 675- 681 ,(1971) , 10.1103/PHYSREVA.4.675
Meng Wang, Wendong Wang, Global existence of weak solution for the 2-D Ericksen–Leslie system Calculus of Variations and Partial Differential Equations. ,vol. 51, pp. 915- 962 ,(2014) , 10.1007/S00526-013-0700-Y
Maurizio Grasselli, Hao Wu, Long-Time Behavior for a Hydrodynamic Model on Nematic Liquid Crystal Flows with Asymptotic Stabilizing Boundary Condition and External Force SIAM Journal on Mathematical Analysis. ,vol. 45, pp. 965- 1002 ,(2013) , 10.1137/120866476