2000 character limit reached
Global solvability in a two-species chemotaxis system with signal production (2109.15194v2)
Published 30 Sep 2021 in math.AP
Abstract: In this work, we study the Neumann initial-boundary value problem for a two-species chemotaxis system with Lotka-Volterra competition and signal production. Under a rather weak and clean condition of sub-quadratic type damping and merely integrable initial data, we establish the global existence of generalized solutions in an N dimensional bounded and smooth domain.