Asymptotic stability of traveling waves of a chemotaxis model with singular sensitivity
From MaRDI portal
Publication:395564
DOI10.1016/j.jde.2013.04.002zbMath1293.35071OpenAlexW2036246322MaRDI QIDQ395564
Hai-Yang Jin, Zhi-An Wang, Jingyu Li
Publication date: 29 January 2014
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2013.04.002
nonlinear stabilityweighted energy estimateslinear instabilityHopf-Cole transformationPDE-ODE hybrid system
Applications of functional analysis in biology and other sciences (46N60) Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Cell movement (chemotaxis, etc.) (92C17) Traveling wave solutions (35C07)
Related Items
Riemann problem for a non-strictly hyperbolic system in chemotaxis, Global existence and decay rate of the Boussinesq-Burgers system with large initial data, Mathematical Modeling of Cell Collective Motion Triggered by Self-Generated Gradients, Oscillatory traveling wave solutions to an attractive chemotaxis system, Global large-data generalized solutions in a two-dimensional chemotaxis-Stokes system with singular sensitivity, Chemotactic Traveling Waves by Metric of Food, Stability of Boundary Layers for a Viscous Hyperbolic System Arising from Chemotaxis: One-Dimensional Case, Asymptotic behavior of solutions to a chemotaxis-logistic model with transitional end-states, Stability of traveling waves of the Keller–Segel system with logarithmic sensitivity, Chemotactic traveling waves with compact support, Renormalized radial large-data solutions to the higher-dimensional Keller-Segel system with singular sensitivity and signal absorption, Global well-posedness and boundary layer effects of radially symmetric solutions for the singular Keller-Segel model, Traveling bands for the Keller-Segel model with population growth, Blow-up prevention by logistic sources in a parabolic-elliptic Keller-Segel system with singular sensitivity, Eventual smoothness and asymptotic stabilization in a two-dimensional logarithmic chemotaxis-Navier-Stokes system with nutrient-supported proliferation and signal consumption, Convergence rate of solutions towards spiky steady state for the Keller-Segel system with logarithmic sensitivity, The shock waves for a mixed-type system from chemotaxis, Asymptotic dynamics on a singular chemotaxis system modeling onset of tumor angiogenesis, BV solutions to a hyperbolic system of balance laws with logistic growth, Nonlinear stability of strong traveling waves for a chemotaxis model with logarithmic sensitivity and periodic perturbations, Nonlinear stability of traveling waves to a parabolic-hyperbolic system modeling chemotaxis with periodic perturbations, Traveling wave solutions of a singular Keller-Segel system with logistic source, Traveling waves and their spectral instability in volume-filling chemotaxis model, Analysis of degenerate Burgers' equations involving small perturbation and large wave amplitude, Global well-posedness of large perturbations of traveling waves in a hyperbolic-parabolic system arising from a chemotaxis model, Wave propagation and stabilization in the Boussinesq-Burgers system, Controlled dynamics of a chemotaxis model with logarithmic sensitivity by physical boundary conditions, Traveling pulse solutions of a generalized Keller-Segel system with small cell diffusion via a geometric approach, Development of traveling waves in an interacting two-species chemotaxis model, Unnamed Item, Boundary layers and stabilization of the singular Keller-Segel system, Does spatial homogeneity ultimately prevail in nutrient taxis systems? A paradigm for structure support by rapid diffusion decay in an autonomous parabolic flow, Asymptotic dynamics of a system of conservation laws from chemotaxis, Asymptotic profile of a parabolic-hyperbolic system with boundary effect arising from tumor angiogenesis, Stability of planar traveling waves in a Keller-Segel equation on an infinite strip domain, Global solutions for a hyperbolic-parabolic system of chemotaxis, Existence and instability of traveling pulses of Keller–Segel system with nonlinear chemical gradients and small diffusions, Global existence and asymptotic dynamics in a 3D fractional chemotaxis system with singular sensitivity, Initial-boundary value problem of a parabolic-hyperbolic system arising from tumor angiogenesis, Nonlinear stability of strong traveling waves for the singular Keller-Segel system with large perturbations, Convergence of boundary layers for the Keller-Segel system with singular sensitivity in the half-plane, On a singularly perturbed semi-linear problem with Robin boundary conditions, Optimal decay rates for a chemotaxis model with logistic growth, logarithmic sensitivity and density-dependent production/consumption rate, Global Cauchy Problem of a System of Parabolic Conservation Laws Arising From a Keller--Segel Type Chemotaxis Model, Global generalized solutions to a Keller-Segel system with nonlinear diffusion and singular sensitivity, On the fractional Fisher information with applications to a hyperbolic-parabolic system of chemotaxis, The logistic chemotaxis system with singular sensitivity and signal absorption in dimension two, Nonlinear stability of planar traveling waves in a chemotaxis model of tumor angiogenesis with chemical diffusion, Boundary layer problem on a hyperbolic system arising from chemotaxis, On a parabolic-hyperbolic chemotaxis system with discontinuous data: well-posedness, stability and regularity, Asymptotic and viscous stability of large-amplitude solutions of a hyperbolic system arising from biology, Convergence to traveling waves of a singular PDE-ODE hybrid chemotaxis system in the half space, Asymptotic stability of traveling fronts to a chemotaxis model with nonlinear diffusion, Large-time behavior in a two-dimensional logarithmic chemotaxis-Navier-Stokes system with signal absorption, Cauchy problem of a system of parabolic conservation laws arising from the singular Keller-Segel model in multi-dimensions, Global weak solutions and asymptotics of a singular PDE-ODE chemotaxis system with discontinuous data, Approaching logarithmic singularities in quasilinear chemotaxis-consumption systems with signal-dependent sensitivities, Spectrum of the M5-traveling waves, Bacterial chemotaxis without gradient-sensing, Asymptotic behaviors and existence of traveling wave solutions to the Keller-Segel model with logarithmic sensitivity, Traveling waves and their spectral stability in Keller-Segel system with large cell diffusion, Global stability under dynamic boundary conditions of a nonlinear PDE model arising from reinforced random walks
Cites Work
- Unnamed Item
- Unnamed Item
- Exponential stability of large-amplitude traveling fronts for quasi-linear relaxation systems with diffusion
- Asymptotic nonlinear stability of traveling waves to conservation laws arising from chemotaxis
- Stability of the rarefaction wave for the generalized KdV-Burgers equation
- Structure of solutions to a chemotaxis system in one space dimension
- Global solutions to a hyperbolic-parabolic coupled system with large initial data
- Time-asymptotic behavior of wave propagation around a viscous shock profile
- Geometric theory of semilinear parabolic equations
- Traveling waves in a chemotactic model
- Nonlinear stability of viscous shock waves
- The solvability of some chemotaxis systems
- Steadily propagating waves of a chemotaxis model
- Mathematics of traveling waves in chemotaxis
- On Existence of Global Solutions and Blow-Up to a System of Reaction-Diffusion Equations Modelling Chemotaxis
- Global Dynamics of a Hyperbolic-Parabolic Model Arising from Chemotaxis
- Random walk with persistence and external bias
- Nonlinear Stability of Traveling Waves to a Hyperbolic-Parabolic System Modeling Chemotaxis
- NONLINEAR STABILITY OF LARGE AMPLITUDE VISCOUS SHOCK WAVES OF A GENERALIZED HYPERBOLIC–PARABOLIC SYSTEM ARISING IN CHEMOTAXIS
- ON A HYPERBOLIC–PARABOLIC SYSTEM MODELING CHEMOTAXIS
- Global existence of solutions to a hyperbolic-parabolic system
- Shock formation in a chemotaxis model
- 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
- The Existence and Stability of Spike Patterns in a Chemotaxis Model