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arXiv · 2004.00590

Strong solution to stochastic penalised nematic liquid crystals model driven by multiplicative Gaussian noise

Zdzislaw Brzezniak·Erika Hausenblas·Paul Razafimandimby
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Abstract

In this paper, we prove the existence of a unique maximal local strong solutions to a stochastic system for both 2D and 3D penalised nematic liquid crystals driven by multiplicative Gaussian noise. In the 2D case, we show that this solution is global.As a by-product of our investigation, but of independent interest, we present a general method based on fixed point arguments to establish the existence and uniqueness of a maximal local solution of an abstract stochastic evolution equations with coefficients satisfying local Lipschitz condition involving the norms of two different Banach spaces.

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Zdzislaw Brzezniak, Erika Hausenblas, Paul Razafimandimby. 2020-04-01. Strong solution to stochastic penalised nematic liquid crystals model driven by multiplicative Gaussian noise. https://arxiv.org/abs/2004.00590

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