Traveling waves for the Keller-Segel-FKPP equation with strong chemotaxis
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Publication:6140109
DOI10.1016/j.jde.2023.10.030arXiv2304.10024OpenAlexW4387924565MaRDI QIDQ6140109
Maximilian Rezek, Christopher Henderson
Publication date: 19 January 2024
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2304.10024
chemotaxistraveling wave solutionselliptic-parabolic systemKeller-Segel-FKPP equationstrong aggregation regime
Nonlinear ordinary differential equations and systems (34A34) PDEs in connection with biology, chemistry and other natural sciences (35Q92)
Cites Work
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- How far can chemotactic cross-diffusion enforce exceeding carrying capacities?
- Global existence and asymptotic behavior of classical solutions to a parabolic-elliptic chemotaxis system with logistic source on \(\mathbb{R}^N\)
- Spatio-temporal chaos in a chemotaxis model
- Bounded solutions of the Boltzmann equation in the whole space
- Traveling wave solutions to the density-suppressed motility model
- Initiation of slime mold aggregation viewed as an instability
- Chemotaxis with logistic source: very weak global solutions and their boundedness properties
- Traveling waves for the Keller-Segel system with Fisher birth terms
- Traveling periodic waves in heterogeneous environments
- The Cauchy problem for quasi-linear symmetric hyperbolic systems
- Multidimensional nonlinear diffusion arising in population genetics
- Mathematical biology. Vol. 1: An introduction.
- Turing and Turing-Hopf bifurcations for a reaction diffusion equation with nonlocal advection
- Existence of traveling wave solutions of parabolic-parabolic chemotaxis systems
- Uniform convergence for the incompressible limit of a tumor growth model
- Optimal critical mass in the two dimensional Keller-Segel model in \(R^2\)
- Stability for a GNS inequality and the log-HLS inequality, with application to the critical mass Keller-Segel equation
- Exact minimum speed of traveling waves in a Keller-Segel model
- Numerical study of vanishing and spreading dynamics of chemotaxis systems with logistic source and a free boundary
- Existence and uniqueness of solutions for a hyperbolic Keller-Segel equation
- Slow and fast minimal speed traveling waves of the FKPP equation with chemotaxis
- Traveling waves in a Keller-Segel model with logistic growth
- A cell-cell repulsion model on a hyperbolic Keller-Segel equation
- Propagation in a Fisher-KPP equation with non-local advection
- Chemotactic waves of bacteria at the mesoscale
- A nonlinear parabolic-hyperbolic system for contact inhibition and a degenerate parabolic Fisher-KPP equation
- Can chemotaxis speed up or slow down the spatial spreading in parabolic-elliptic Keller-Segel systems with logistic source?
- The fast signal diffusion limit in Keller-Segel(-fluid) systems
- Spreading speeds and traveling waves of a parabolic-elliptic chemotaxis system with logistic source on \(\mathbb{R}^N\)
- The Hele-Shaw asymptotics for mechanical models of tumor growth
- Incompressible limit of a mechanical model of tumour growth with viscosity
- Complicated dynamics of scalar reaction diffusion equations with a nonlocal term
- Finite-time blow-up in a quasilinear system of chemotaxis
- An Introduction to Fronts in Random Media
- Diffusion, attraction and collapse
- Porous medium equation to Hele-Shaw flow with general initial density
- A study of blow-ups in the Keller–Segel model of chemotaxis
- Sharp discontinuous traveling waves in a hyperbolic Keller–Segel equation
- A Chemotaxis System with Logistic Source
- Pushed-to-pulled front transitions: continuation, speed scalings, and hidden monotonicty
- Speed-up of traveling waves by negative chemotaxis
