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Boundedness and global solvability to a chemotaxis model with nonlinear diffusion

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Abstract In this paper, we study a chemotaxis model with nonlinear diffusion Δ u m ( m > 1 ). We consider this problem in a bounded domain Ω ⊂… Click to show full abstract

Abstract In this paper, we study a chemotaxis model with nonlinear diffusion Δ u m ( m > 1 ). We consider this problem in a bounded domain Ω ⊂ R 3 with zero-flux boundary condition, and it is shown that for any large initial datum, for any m > 1 , the problem admits a global weak solution, which is uniformly bounded.

Keywords: model nonlinear; boundedness global; chemotaxis model; nonlinear diffusion

Journal Title: Journal of Differential Equations
Year Published: 2017

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