Asymptotic behavior in a quasilinear chemotaxis-growth system with indirect signal production
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Publication:2304321
DOI10.1016/j.jmaa.2020.123855zbMath1439.35079OpenAlexW2998810691MaRDI QIDQ2304321
Wenji Zhang, Suying Liu, Peng Cheng Niu
Publication date: 9 March 2020
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.123855
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 (6)
Asymptotic behavior of a quasilinear parabolic-elliptic-elliptic chemotaxis system with logistic source ⋮ Existence and large time behavior for a Keller–Segel model with gradient dependent chemotactic sensitivity ⋮ Boundedness and large time behavior for a chemotaxis system with signal-dependent motility and indirect signal consumption ⋮ Boundedness of solutions to a quasilinear parabolic-parabolic chemotaxis model with variable logistic source ⋮ Emergence of lager densities in chemotaxis system with indirect signal production and non-radial symmetry case ⋮ Global solvability and asymptotic stabilization in a three-dimensional Keller–Segel–Navier–Stokes system with indirect signal production
Cites Work
- Unnamed Item
- Unnamed Item
- Finite-time blowup and global-in-time unbounded solutions to a parabolic-parabolic quasilinear Keller-Segel system in higher dimensions
- Application of an Adams type inequality to a two-chemical substances chemotaxis system
- Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
- Initiation of slime mold aggregation viewed as an instability
- Chemotaxis with logistic source: very weak global solutions and their boundedness properties
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- Boundedness and finite-time collapse in a chemotaxis system with volume-filling effect
- Finite-time blow-up in low-dimensional Keller-Segel systems with logistic-type superlinear degradation
- Critical mass for infinite-time aggregation in a chemotaxis model with indirect signal production
- Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with logistic source
- Eventual smoothness and asymptotics in a three-dimensional chemotaxis system with logistic source
- Large time behavior in a chemotaxis model with logistic growth and indirect signal production
- Global bounded and unbounded solutions to a chemotaxis system with indirect signal production
- Large time behavior in the logistic Keller-Segel model via maximal Sobolev regularity
- Boundedness in quasilinear Keller-Segel systems of parabolic-parabolic type on non-convex bounded domains
- Global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with strong logistic dampening
- Stabilization in a chemotaxis model for tumor invasion
- Equilibration in a fully parabolic two-species chemotaxis system with competitive kinetics
- Finite-time blow-up in a quasilinear system of chemotaxis
- Does a ‘volume-filling effect’ always prevent chemotactic collapse?
- Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
- Large Time Behavior in a Chemotaxis Model with Nonlinear General Diffusion for Tumor Invasion
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- A Chemotaxis System with Logistic Source
- Boundedness of solutions to a quasilinear parabolic-elliptic Keller-Segel system with logistic source
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