A stochastically forced Keller–Segel system in dimensions d≥3 admits maximal local solutions in scaling-critical Besov spaces, and small data guarantees arbitrarily long existence with high probability.
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The stochastic Keller--Segel system in critical spaces
A stochastically forced Keller–Segel system in dimensions d≥3 admits maximal local solutions in scaling-critical Besov spaces, and small data guarantees arbitrarily long existence with high probability.