The bidomain equations driven by stochastic forces and subject to nonlinearities of FitzHugh-Nagumo or Allen-Cahn type are considered for the first time. It is shown that this set of equations admits a global weak solution as well as a stationary solution, which generates a uniquely determined invariant measure.

中文翻译：

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关于随机力驱动的双域方程

首次考虑了由随机力驱动并受FitzHugh-Nagumo或Allen-Cahn型非线性影响的双域方程。结果表明，这组方程允许整体弱解和平稳解，这会生成唯一确定的不变测度。