| Abstract: |
| In this work we study the stochastic Stratonovich hyperbolic Keller-Segel model with an infinite dimensional multiplicative noise in a bounded domain.
We establish the global-in-time existence result for weak entropy martingale solutions to this stochastic Keller-Segel model. The proof combines the stochastic a priori estimates with compactness techniques based on the kinetic theory and on the Jakubowski-Skorokhod representation theorem.
The dependence of the noise function makes more difficult for the analysis of a priori estimates, giving rise to nonlinear terms induced by the martingale part of the equation and the Stratonovich correction term. |
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