We consider a full Navier-Stokes and Q-tensor system for incompressible liquid crystal flows of nematic type. In the two dimensional periodic case, we prove the existence and uniqueness of global strong solutions that are uniformly bounded in time. This result is obtained without any smallness assumption on the physical parameter. that measures the ratio between tumbling and aligning effects of a shear flow exerting over the liquid crystal directors. Moreover, we show the uniqueness of asymptotic limit for each global strong solution as time goes to infinity and provide an uniform estimate on the convergence rate.

Global strong solutions of the full Navier-Stokes and Q-tensor system for nematic liquid crystal flows in two dimensions / C. Cavaterra, E. Rocca, H. Wu, X. Xu. - In: SIAM JOURNAL ON MATHEMATICAL ANALYSIS. - ISSN 1095-7154. - 48:2(2016), pp. 1368-1399.

Global strong solutions of the full Navier-Stokes and Q-tensor system for nematic liquid crystal flows in two dimensions

C. Cavaterra;
2016

Abstract

We consider a full Navier-Stokes and Q-tensor system for incompressible liquid crystal flows of nematic type. In the two dimensional periodic case, we prove the existence and uniqueness of global strong solutions that are uniformly bounded in time. This result is obtained without any smallness assumption on the physical parameter. that measures the ratio between tumbling and aligning effects of a shear flow exerting over the liquid crystal directors. Moreover, we show the uniqueness of asymptotic limit for each global strong solution as time goes to infinity and provide an uniform estimate on the convergence rate.
nematic liquid crystal flow; Q-tensor system; global strong solution; uniqueness of asymptotic limit
Settore MAT/05 - Analisi Matematica
   Entropy formulation of evolutionary phase transitions
   ENTROPHASE
   EUROPEAN COMMISSION
   H2020
   256872
2016
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/426595
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