A new result for boundedness of solutions to a higher-dimensional quasilinear chemotaxis system with a logistic source
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Publication:1996893
DOI10.1016/j.jmaa.2020.124784zbMath1460.35359OpenAlexW3101753578MaRDI QIDQ1996893
Publication date: 28 February 2021
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.2020.124784
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell movement (chemotaxis, etc.) (92C17)
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Cites Work
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- On the boundedness and decay of solutions for a chemotaxis-haptotaxis system with nonlinear diffusion
- Boundedness in a multi-dimensional chemotaxis-haptotaxis model with nonlinear diffusion
- Boundedness in a parabolic-parabolic quasilinear chemotaxis system with logistic source
- Finite-time blowup and global-in-time unbounded solutions to a parabolic-parabolic quasilinear Keller-Segel system in higher dimensions
- Boundedness of solutions to a quasilinear parabolic-parabolic Keller-Segel system with a logistic source
- Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
- Blow-up in a higher-dimensional chemotaxis system despite logistic growth restriction
- Initiation of slime mold aggregation viewed as an instability
- Boundedness in the higher-dimensional chemotaxis-haptotaxis model with nonlinear diffusion
- A user's guide to PDE models for chemotaxis
- Finite-time blow-up in low-dimensional Keller-Segel systems with logistic-type superlinear degradation
- Classical solutions to a logistic chemotaxis model with singular sensitivity and signal absorption
- Global classical solvability and generic infinite-time blow-up in quasilinear Keller-Segel systems with bounded sensitivities
- A new result for global existence and boundedness of solutions to a parabolic-parabolic Keller-Segel system with logistic source
- 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
- Boundedness in quasilinear Keller-Segel equations with nonlinear sensitivity and logistic source
- Boundedness in a quasilinear fully parabolic Keller-Segel system of higher dimension with logistic source
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- An optimal result for global existence and boundedness in a three-dimensional Keller-Segel-Stokes system with nonlinear diffusion
- On a quasilinear parabolic-elliptic chemotaxis system with logistic source
- 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
- Boundedness vs. blow-up in a chemotaxis system
- A Chemotaxis-Haptotaxis Model: The Roles of Nonlinear Diffusion and Logistic Source
- Finite-time blow-up in a quasilinear system of chemotaxis
- MATHEMATICAL MODELLING OF CANCER INVASION OF TISSUE: THE ROLE AND EFFECT OF NONLOCAL INTERACTIONS
- Does a ‘volume-filling effect’ always prevent chemotactic collapse?
- LPBounds of solutions of reaction-diffusion equations
- Heat kernels and maximal lp—lqestimates for parabolic evolution equations
- Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- A Chemotaxis System with Logistic Source
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