Nonlinear stability of diffusive contact wave for a chemotaxis model
From MaRDI portal
Publication:2054016
DOI10.1016/j.jde.2021.11.008zbMath1486.35042OpenAlexW3214707017MaRDI QIDQ2054016
Publication date: 30 November 2021
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2021.11.008
asymptotic behaviorlogarithmic singularitylogistic growthdiffusive contact wavehyperbolic-parabolic balance laws
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell movement (chemotaxis, etc.) (92C17)
Related Items (7)
Asymptotic behavior of solutions to a chemotaxis-logistic model with transitional end-states ⋮ BV solutions to a hyperbolic system of balance laws with logistic growth ⋮ Convergence to a diffusive contact wave for solutions to a system of hyperbolic balance laws ⋮ Traveling wave solutions of a singular Keller-Segel system with logistic source ⋮ Controlled dynamics of a chemotaxis model with logarithmic sensitivity by physical boundary conditions ⋮ Asymptotic behaviors and existence of traveling wave solutions to the Keller-Segel model with logarithmic sensitivity ⋮ Global stability under dynamic boundary conditions of a nonlinear PDE model arising from reinforced random walks
Cites Work
- Asymptotic nonlinear stability of traveling waves to conservation laws arising from chemotaxis
- Global solutions to a hyperbolic-parabolic coupled system with large initial data
- Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping
- Pointwise decay to contact discontinuities for systems of viscous conservation laws
- Finite-time blow-up in low-dimensional Keller-Segel systems with logistic-type superlinear degradation
- Global existence and asymptotic behavior to a chemotaxis-consumption system with singular sensitivity and logistic source
- Eventual smoothness and asymptotic behaviour of solutions to a chemotaxis system perturbed by a logistic growth
- Convergence rates to nonlinear diffusion waves for solutions of system of hyperbolic conservation laws with damping
- \(L_p\)-convergence rate to nonlinear diffusion waves for \(p\)-system with damping
- On the logarithmic Keller-Segel-Fisher/KPP system
- Corrigendum to: ``Optimal decay rates for a chemotaxis model with logistic growth, logarithmic sensitivity and density-dependent production/consumption rate
- Eventual smoothness and asymptotics in a three-dimensional chemotaxis system with logistic source
- Optimal decay rates for a chemotaxis model with logistic growth, logarithmic sensitivity and density-dependent production/consumption rate
- \(L^p\) decay for general hyperbolic-parabolic systems of balance laws
- Global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with strong logistic dampening
- Chemotaxis and growth system with singular sensitivity function
- Initial-boundary value problems for a system of hyperbolic balance laws arising from chemotaxis
- Darcy's law as long-time limit of adiabatic porous media flow
- Convergence rate estimates of solutions in a higher dimensional chemotaxis system with logistic source
- Quantitative decay of a one-dimensional hybrid chemotaxis model with large data
- Nonlinear Stability of Traveling Waves to a Hyperbolic-Parabolic System Modeling Chemotaxis
- Large time behavior of solutions for general quasilinear hyperbolic-parabolic systems of conservation laws
- Mathematical analysis and stability of a chemotaxis model with logistic term
- A System of Reaction Diffusion Equations Arising in the Theory of Reinforced Random Walks
- Aggregation, Blowup, and Collapse: The ABC's of Taxis in Reinforced Random Walks
- On the global generalized solvability of a chemotaxis model with signal absorption and logistic growth terms
- Pointwise Stability of Contact Discontinuity for Viscous Conservation Laws with General Perturbations
- Lp time asymptotic decay for general hyperbolic–parabolic balance laws with applications
- Shock waves in conservation laws with physical viscosity
- Global existence theory for general hyperbolic-parabolic balance laws with application
- A mathematical model for the roles of pericytes and macrophages in the initiation of angiogenesis. I: The role of protease inhibitors in preventing angiogenesis
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Nonlinear stability of diffusive contact wave for a chemotaxis model
