Eventual smoothness and stabilization of global weak solutions in parabolic-elliptic chemotaxis systems with logarithmic sensitivity
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Publication:2283089
DOI10.1016/j.nonrwa.2019.03.012zbMath1437.35060OpenAlexW2936297460MaRDI QIDQ2283089
Jaewook Ahn, Jihoon Lee, Kyungkeun Kang
Publication date: 27 December 2019
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2019.03.012
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Cell movement (chemotaxis, etc.) (92C17) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (9)
Global existence in a two-species chemotaxis system with signal-dependent sensitivity and logistic source ⋮ Global and exponential stabilization of morphogenesis models with logarithmic sensitivity and linear degradation ⋮ Global boundedness in a two-dimensional chemotaxis system with nonlinear diffusion and singular sensitivity ⋮ Can Dirac-type singularities in Keller-Segel systems be ruled out by power-type singular sensitivities? ⋮ Boundedness in a higher-dimensional singular chemotaxis-growth system with indirect signal production ⋮ Global well-posedness of logarithmic Keller-Segel type systems ⋮ Keller-Segel chemotaxis models: a review ⋮ Global existence in a chemotaxis system with singular sensitivity and signal production ⋮ Existence of weak solutions for some elliptic systems
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