A note on boundedness of solutions to a higher‐dimensional quasi–linear chemotaxis system with logistic source
From MaRDI portal
Publication:6065122
DOI10.1002/zamm.201600166zbMath1529.92008MaRDI QIDQ6065122
Publication date: 11 December 2023
Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)
Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59)
Related Items
Finite-time blow-up in low-dimensional Keller-Segel systems with logistic-type superlinear degradation ⋮ Global existence, regularity and boundedness in a higher-dimensional chemotaxis-Navier-Stokes system with nonlinear diffusion and general sensitivity ⋮ A note for global existence of a two-dimensional chemotaxis–haptotaxis model with remodeling of non-diffusible attractant ⋮ An optimal result for global existence in a three-dimensional Keller-Segel-Navier-Stokes system involving tensor-valued sensitivity with saturation ⋮ Large time behavior of solutions to a 3D Keller-Segel-Stokes system involving a tensor-valued sensitivity with saturation ⋮ Boundedness of solutions for parabolic-elliptic predator-prey chemotaxis-fluid system with logistic source term ⋮ Mathematical Research for Models Which is Related to Chemotaxis System ⋮ Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic-elliptic Keller-Segel systems ⋮ Finite-time blow-up in a quasilinear degenerate parabolic-elliptic chemotaxis system with logistic source and nonlinear production ⋮ Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization ⋮ Blow-up prevention by quadratic degradation in a higher-dimensional chemotaxis-growth model with indirect attractant production ⋮ Convergence rates of solutions in a predator-prey system with indirect pursuit-evasion interaction in domains of arbitrary dimension ⋮ Boundedness in a quasilinear chemotaxis-haptotaxis model of parabolic-parabolic-ODE type
Cites Work
- Unnamed Item
- Boundedness in a parabolic-parabolic quasilinear chemotaxis system with logistic source
- Global dynamics in a higher-dimensional repulsion chemotaxis model with nonlinear sensitivity
- 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
- Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with 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
- 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
- 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
