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On the existence of a weak martingale solution for a stochastic magnetohydrodynamics system with noise acting in the magnetic field

Púček, Jiří
arXiv (All) · Papers
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analysis-of-pdesprobability
We prove the existence of solutions to the stochastic magnetohydrodynamics (MHD) system, where randomness is introduced through random initial data and a stochastic integral appearing solely in the induction equation, while the fluid equations remain deterministic. We focus on the case where the adi
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