A large Couette flow suppresses finite-time blow-up and yields algebraic decay for the fractional Keller-Segel equation on R^3 for diffusion exponent alpha in (1,2].
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Suppression of blow-up in 3-D Keller-Segel system with fractional diffusion via Couette flow in whole space
A large Couette flow suppresses finite-time blow-up and yields algebraic decay for the fractional Keller-Segel equation on R^3 for diffusion exponent alpha in (1,2].