| Abstract: |
| In this work we study the stochastic hyperbolic superconductive model with an infinite dimensional multiplicative noise in a bounded domain.
We establish the global-in-time existence result for weak martingale solutions to this stochastic model. The proof combines stochastic a priori estimates with compactness techniques based on our previous results.
The dependence of the noise function makes the analysis of a priori estimates more difficult, giving rise to nonlinear terms induced by the martingale part of the equation. |
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