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- W2936297460 abstract "A parabolic–elliptic chemotaxis system with non-negative chemotactic sensitivity χ∕v and positive chemical diffusion coefficient η is considered in a smooth bounded domain Ω⊂RN, N≥2 under homogeneous Neumann boundary conditions. We show the existence of at least one global weak solution for χ<χN, N≥3, where χN≔4+N24+N2−4. Moreover, under further assumptions of Ω and η, we prove that the constructed solution becomes smooth and stabilizes to a constant steady state after some waiting time if N=3,4. The stabilization of a global bounded solution, and the non-existence of non-constant steady states are also discussed in general dimensions." @default.
- W2936297460 created "2019-04-25" @default.
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- W2936297460 date "2019-10-01" @default.
- W2936297460 modified "2023-10-18" @default.
- W2936297460 title "Eventual smoothness and stabilization of global weak solutions in parabolic–elliptic chemotaxis systems with logarithmic sensitivity" @default.
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- W2936297460 doi "https://doi.org/10.1016/j.nonrwa.2019.03.012" @default.
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