3-D stochastic micropolar and magneto-micropolar fluid systems with non-Lipschitz multiplicative noise
Kazuo Yamazaki · Communications on Stochastic Analysis · 2014
We study the stochastic micropolar and magneto-micropolar fluid systems with multiplicative noise in three-dimensional space.Without Lipschitz continuity condition on the noise, we show the existence of a weak martingale solution by applications of Prokhorov and Skorokhod's theorems, followed by de Rham's theorem generalized to processes.