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math.AP2021★ 8 cited
Non relativistic and ultra relativistic limits in 2d stochastic nonlinear damped Klein-Gordon equation
Reika Fukuizumi, Masato Hoshino, Takahisa Inui
We study the non relativistic and ultra relativistic limits in the two-dimensional nonlinear damped Klein-Gordon equation driven by a space-time white noise on the torus. In order…
math.PR2021
Two dimensional Gross-Pitaevskii equation with space-time white noise
Anne de Bouard, Arnaud Debussche, Reika Fukuizumi
In this paper we consider the two-dimensional stochastic Gross-Pitaevskii equation, which is a model to describe Bose-Einstein condensation at positive temperature. The equation is…