Asymptotic behavior to a chemotaxis consumption system with singular sensitivity

DOI10.1002/MMA.4762zbMath1390.92027OpenAlexW2792597230MaRDI QIDQ4644201

Sining Zheng, Xiangdong Zhao

Publication date: 30 May 2018

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.4762

zbMATH Keywords

boundednessasymptotic stabilitychemotaxissingular sensitivity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) A priori estimates in context of PDEs (35B45) Cell movement (chemotaxis, etc.) (92C17)

Related Items (11)

Boundedness and large-time behavior for a two-dimensional quasilinear chemotaxis-growth system with indirect signal consumption ⋮ Global classical solvability and stabilization in a two-dimensional chemotaxis–fluid system with sub-logarithmic sensitivity ⋮ Boundedness on a fully parabolic singular chemotaxis system with indirect signal production and logistic source ⋮ A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system ⋮ Finite-time blow-up in a repulsive chemotaxis-consumption system ⋮ Global existence of a chemotactic movement with singular sensitivity by two stimuli ⋮ Boundedness to a quasilinear chemotaxis-consumption system with singular sensitivity in dimension one ⋮ On a fully parabolic singular chemotaxis-(growth) system with indirect signal production or consumption ⋮ Global boundedness of classical solutions to a logistic chemotaxis system with singular sensitivity ⋮ Analysis of a chemotaxis model with indirect signal absorption ⋮ Approaching logarithmic singularities in quasilinear chemotaxis-consumption systems with signal-dependent sensitivities

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