Cover Image

Stability and dynamics of planar fronts in reaction-diffusion systems under nonlocalized perturbations

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	de Rijk, Björn, van Winden, Joris
Format:	Preprint
Published:	2026
Subjects:	Analysis of PDEs 35B35, 35B40, 35C07, 35K57
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Nonlinear dynamics of reaction-diffusion wave trains under large and fully nonlocalized modulations
by: Alexopoulos, Joannis, et al.
Published: (2025)

Nonlinear stability and asymptotic behavior of periodic wave trains in reaction-diffusion systems against $C_{\mathrm{ub}}$-perturbations
by: de Rijk, Björn
Published: (2022)

Orbital stability of monostable waves for reaction-diffusion systems
by: Garénaux, Louis
Published: (2026)

Freidlin-Gärtner formula and asymptotic profile in reaction-diffusion equations
by: Rossi, Luca
Published: (2026)

Transition fronts of monotone bistable reaction-diffusion systems around an obstacle
by: Yan, Yang-Yang, et al.
Published: (2026)

Phase sinks and sources around two-dimensional periodic-wave solutions of reaction-diffusion-advection systems
by: Melinand, Benjamin, et al.
Published: (2024)

Nonlinear stability of periodic wave trains in the FitzHugh-Nagumo system against fully nonlocalized perturbations
by: Alexopoulos, Joannis, et al.
Published: (2024)

Stability of stationary reaction diffusion-degenerate Nagumo fronts I: spectral analysis
by: Folino, Raffaele, et al.
Published: (2025)

Convergence to pushed fronts and the behavior of level sets in monostable reaction-diffusion equations
by: Kiyono, Ryo
Published: (2026)

Coupled reaction-diffusion equations on adjacent domains
by: Berestycki, Henri, et al.
Published: (2019)

Multiple front and pulse solutions in spatially periodic systems
by: Bengel, Lukas, et al.
Published: (2025)

Long time dynamics of solutions to $p$-Laplacian diffusion problems with bistable reaction terms
by: Folino, Raffaele, et al.
Published: (2020)

Selection of pushed pattern-forming fronts in the FitzHugh-Nagumo system
by: Avery, Montie, et al.
Published: (2026)

Curved fronts of combustion reaction-diffusion equations
by: Sheng, Wei-Jie, et al.
Published: (2026)

The influence of advection on the propagation phenomena of reaction-diffusion equations with KPP-bistable nonlinearity
by: Liang, Xing, et al.
Published: (2024)

Instability of solutions in a degenerate reaction diffusion equation
by: Marangell, R., et al.
Published: (2026)

Tools for stability analysis of fractional reaction diffusion systems
by: Ahmad, Sofwah, et al.
Published: (2025)

Existence and Spatial Decay of Forced Waves for the Fisher-KPP Equation with a Degenerate Shifting Environment
by: Tang, Zhibao, et al.
Published: (2026)

Traveling Sharp Waves of Porous Media Equations in Spatially Periodic Environment
by: Lou, Bendong
Published: (2024)

Vanishing interfaces in an asymmetric fast reaction limit
by: Tsukamoto, Yuki
Published: (2026)

Traveling waves for highly degenerate and singular reaction-diffusion-advection equations with discontinuous coefficients
by: Guarnotta, Umberto, et al.
Published: (2025)

A note on time-asymptotic bounds with a sharp algebraic rate and a transitional exponent for the sublinear Fujita problem
by: Needham, David John, et al.
Published: (2024)

Algebraic rates of stability for front-type modulated waves in Ginzburg Landau equations
by: Beyn, Wolf-Jürgen, et al.
Published: (2024)

The existence and instability of blowing-up steady states for the Shigesada-Kawasaki-Teramoto competition model with cross-diffusion
by: Kuto, Kousuke, et al.
Published: (2025)

Finite propagation and saturation in reaction-diffusion-advection equations governed by p-Laplacian operator
by: Marcelli, Cristina
Published: (2025)

Existence and stability of curved fronts for spatially periodic combustion reaction-diffusion equations in $\mathbb{R}^N$
by: Sheng, Wei-Jie, et al.
Published: (2025)

Coupled reaction-diffusion equations with degenerate diffusivity: wavefront analysis
by: Muñoz-Hernández, Eduardo, et al.
Published: (2023)

Front propagation on a general metric graph
by: Matano, Hiroshi, et al.
Published: (2025)

Blow-up for a double nonlocal heat equation
by: Ferreira, Raúl, et al.
Published: (2024)

Traveling waves in nonclassical diffusion equations
by: Barker, William, et al.
Published: (2025)

Propagation dynamics for nonlocal dispersal predator-prey systems in shifting habitats: A Hamilton-Jacobi approach
by: Tao, Wen, et al.
Published: (2026)

Analytic description of the moving moisture front in soils
by: Detmann, Bettina, et al.
Published: (2026)

Linear convective stability of a front superposition with unstable connecting state
by: Garénaux, Louis, et al.
Published: (2025)

Threshold, subthreshold and global unbounded solutions of superlinear heat equations
by: Quittner, Pavol, et al.
Published: (2025)

Long-time behavior for systems of Fisher-KPP type with interacting components
by: Stavrianidi, Alexandra
Published: (2026)

Reaction-Diffusion System Approximation to the Fast Diffusion Equation
by: Murakawa, Hideki, et al.
Published: (2026)

Diffusive synchronization of phase waves in the FitzHugh-Nagumo system
by: Avery, Montie, et al.
Published: (2026)

On a class of triangular cross-diffusion systems and its fast reaction approximation
by: Brocchieri, Elisabetta, et al.
Published: (2025)

Kinks and solitons in linear and nonlinear-diffusion Keller-Segel type models with logarithmic sensitivity
by: Campos, Juan, et al.
Published: (2021)

Wavefront Solutions for Reaction-diffusion-convection Models with Accumulation Term and Aggregative Movements
by: Cantarini, Marco, et al.
Published: (2025)