Pushed-to-pulled front transitions: continuation, speed scalings, and hidden monotonicty
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Publication:6074806
DOI10.1007/s00332-023-09957-3zbMath1526.35037arXiv2206.09989OpenAlexW4386631928MaRDI QIDQ6074806
Arnd Scheel, Matt Holzer, Montie Avery
Publication date: 19 October 2023
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.09989
Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32) Higher-order parabolic systems (35K41)
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Pushed fronts in a Fisher-KPP-Burgers system using geometric desingularization, Traveling waves for the Keller-Segel-FKPP equation with strong chemotaxis, Front selection in reaction-diffusion systems via diffusive normal forms
Cites Work
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- Criteria for pointwise growth and their role in invasion processes
- Instability of spikes in the presence of conservation laws
- Relative morse indices, Fredholm indices, and group velocities
- On the nonlinear diffusion equation of Kolmogorov, Petrovskij, and Piscunov
- Weighted norms for the stability of traveling waves
- Travelling fronts in nonlinear diffusion equations
- Front propagation into unstable states
- The minimal speed of traveling fronts for a diffusive Lotka-Volterra competition model.
- Absolute and convective instabilities of waves on unbounded and large bounded domains
- Minimal-speed selection of traveling waves to the Lotka-Volterra competition model
- On a conjecture raised by Yuzo Hosono
- Existence and stability of propagating fronts for an autocatalytic reaction-diffusion system
- Spreading speed and linear determinacy for two-species competition models
- Variational characterization of the speed of propagation of fronts for the nonlinear diffusion equation
- A short proof of the logarithmic Bramson correction in Fisher-KPP equations
- Slow and fast minimal speed traveling waves of the FKPP equation with chemotaxis
- Anomalous spreading in a system of coupled Fisher-KPP equations
- Spectral stability of the critical front in the extended Fisher-KPP equation
- On the Structure of Spectra of Modulated Travelling Waves
- A slow pushed front in a Lotka–Volterra competition model
- Continuation and Bifurcation of Grain Boundaries in the Swift--Hohenberg Equation
- Bifurcations of front motion in passive and active Allen–Cahn-type equations
- The Numerical Computation of Connecting Orbits in Dynamical Systems
- Convergence of solutions of the Kolmogorov equation to travelling waves
- Maximal displacement of branching brownian motion
- A NUMERICAL TOOLBOX FOR HOMOCLINIC BIFURCATION ANALYSIS
- Numerical Computation of Solitary Waves in Infinite Cylindrical Domains
- Defects in Oscillatory Media: Toward a Classification
- Freezing Solutions of Equivariant Evolution Equations
- Strain and Defects in Oblique Stripe Growth
- Invasion into remnant instability: a case study of front dynamics
- Instability in large bounded domains—branched versus unbranched resonances
- Invariant Subspaces of Matrices with Applications
- Linear spreading speeds from nonlinear resonant interaction
- Front propagation into unstable states: Universal algebraic convergence towards uniformly translating pulled fronts
- Problem on minimum wave speed for a Lotka-Volterra reaction-diffusion competition model
- Universal selection of pulled fronts
