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Global existence of bounded solutions for a quasilinear chemotaxis system with logistic source

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Abstract In this paper, we deal with the chemotaxis system with logistic source under homogeneous Neumann boundary conditions in a bounded convex domain with smooth boundary. Under appropriate regularity assumptions… Click to show full abstract

Abstract In this paper, we deal with the chemotaxis system with logistic source under homogeneous Neumann boundary conditions in a bounded convex domain with smooth boundary. Under appropriate regularity assumptions on the initial data, by developing some L p -estimate techniques, we show that the system possesses at least one global and bounded weak solution. Our results generalized and improved previous results, and partially results are new.

Keywords: logistic source; system; chemotaxis system; system logistic

Journal Title: Nonlinear Analysis: Real World Applications
Year Published: 2019

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