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Well-posedness of 2D stochastic parabolic-parabolic Keller-Segel system with logistic source

Hausenblas, Erika et al.
arXiv (All) · Papers
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35q3560h15analysis-of-pdes
We consider a stochastic, fully parabolic Keller-Segel system with multiplicative noise in non-divergence form and a logistic source in a two-dimensional bounded domain, subject to random initial data. We construct a global-in-time, non-negative martingale solution by means of a suitable regularisat
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