Global weak solutions exist and remain bounded for a degenerate chemotaxis system with threshold density; uniqueness holds under additional assumptions and flat-hump stationary solutions are constructed in 1D.
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Global well-posedness and flat-hump-shaped stationary solutions for degenerate chemotaxis systems with threshold density
Global weak solutions exist and remain bounded for a degenerate chemotaxis system with threshold density; uniqueness holds under additional assumptions and flat-hump stationary solutions are constructed in 1D.