A note on the stochastic Ericksen-Leslie equations for nematic liquid crystals

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Authors

Brzezniak, Zdzislaw
Hausenblas, Erika
Razafimandimby, Paul Andre

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Publisher

American Institute of Mathematical Sciences

Abstract

In this note we prove the existence and uniqueness of local maximal smooth solution of the stochastic simplified Ericksen-Leslie systems modelling the dynamics of nematic liquid crystals under stochastic perturbations.

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Keywords

Ericksen-Leslie equations, Nematic liquid crystals, Fixed point method, Smooth solution, Local solution

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Citation

Zdzisław Brzeźniak, Erika Hausenblas, Paul André Razafimandimby. A note on the stochastic Ericksen-Leslie equations for nematic liquid crystals. Discrete and Continuous Dynamical Systems : Series B, 2019, 24 (11) : 5785-5802. doi: 10.3934/dcdsb.2019106.