Finite time blow-up for radially symmetric solutions to a critical quasilinear Smoluchowski-Poisson system
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🧮 math.AP
keywords
blow-upcriticalfinitemassquasilinearradiallysmoluchowski-poissonsolutions
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Finite time blow-up is shown to occur for radially symmetric solutions to a critical quasilinear Smoluchowski-Poisson system provided that the mass of the initial condition exceeds an explicit threshold. In the supercritical case, blow-up is shown to take place for any positive mass. The proof relies on a novel identity of virial type.
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