The Keller-Segel model for chemotaxis is a prototype of nonlocal
systems describing concentration phenomena in physics and biology.
While the two-dimensional theory is by now quite complete, the
questions of global-in-time solvability and blowup characterization
are largely open in higher dimensions. In this book, global-in-time
solutions are constructed under (nearly) optimal assumptions on
initial data and rigorous blowup criteria are derived.
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