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math.AP2022
Pattern formation in 2d stochastic anisotropic Swift-Hohenberg equation
Reika Fukuizumi, Yueyuan Gao, Guido Schneider +1
In this paper, we study a phenomenological model for pattern formation in electroconvection, and the effect of noise on the pattern. As such model we consider an anisotropic Swift-…
math.PR2022
Stationary martingale solution for the 2D stochastic Gross-Pitaevskii equation
Anne de Bouard, Arnaud Debussche, Reika Fukuizumi
In this short report we give a proof of the existence of a stationary solution to the Gross-Pitaevskii equation in driven by a space-time white noise.