2 problems
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Chertock–Kurganov conjecture on the blowup time for the classical Keller–Segel model
Consider the classical Keller–Segel problem with initial data … where and . Let denote the finite blowup time of the continuous solution. Chertock–Kurgano…
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Hydrodynamic equivalence conjecture for the self-gravitating particle system and elliptic Keller–Segel model
Let an ensemble of particles in dimensions have masses and evolve according to … Here is the initial number of particles, is their total mass, particle…