Front propagation into unstable states

From MaRDI portal
Publication:1409697

DOI10.1016/j.physrep.2003.08.001zbMath1042.74029arXivcond-mat/0308540OpenAlexW2122612155MaRDI QIDQ1409697

Wim van Saarloos

Publication date: 19 October 2003

Published in: Physics Reports (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0308540



Related Items

Nonlinear Eigenvalue Methods for Linear Pointwise Stability of Nonlinear Waves, A diffusive SI model with Allee effect and application to FIV, Invasion into remnant instability: a case study of front dynamics, Monotonicity in the averaging process, Extreme values and fat tails of multifractal fluctuations, Mathematical Modeling of Cell Collective Motion Triggered by Self-Generated Gradients, Propagation of CaMKII translocation waves in heterogeneous spiny dendrites, Nontrivial dynamics beyond the logarithmic shift in two-dimensional Fisher-KPP equations, Advection and autocatalysis as organizing principles for banded vegetation patterns, Asymptotic structure of steady nonlinear reaction-diffusion-Marangoni convection fronts, Wave propagation in predator–prey systems, Fluid dynamic instabilities: theory and application to pattern forming in complex media, Extracting Sparse High-Dimensional Dynamics from Limited Data, Travelling-wave amplitudes as solutions of the phase-field crystal equation, Traveling wave profiles for a crystalline front invading liquid states: analytical and numerical solutions, A computational study of residual KPP front speeds in time-periodic cellular flows in the small diffusion limit, Estimating epidemic arrival times using linear spreading theory, The fluid dynamics of propagating fronts with solutal and thermal coupling, The spatial Muller's ratchet: surfing of deleterious mutations during range expansion, Spinodal decomposition and coarsening fronts in the Cahn-Hilliard equation, Wavenumber selection in coupled transport equations, Depinning, front motion, and phase slips, A probabilistic framework for particle-based reaction-diffusion dynamics using classical Fock space representations, Linear and nonlinear minimal speed selection of traveling waves for a competitive system with nonlocal dispersal, WKB theory of large deviations in stochastic populations, Growing patterns, Fronts in anomalous diffusion–reaction systems, ANALYTIC PATTERNS FOR CHAOTIC EQUATIONS, Study of front instability in advection–reaction–diffusion systems, Periodic Traveling Waves Generated by Invasion in Cyclic Predator--Prey Systems: The Effect of Unequal Dispersal, Absolute instability in axisymmetric wakes: compressible and density variation effects, Determining spreading speeds for abstract time-periodic monotone semiflows, Spectral stability of the critical front in the extended Fisher-KPP equation, Exact solution and precise asymptotics of a Fisher–KPP type front, Pushed fronts of monostable reaction-diffusion-advection equations, Slower deviations of the branching Brownian motion and of branching random walks, Wavetrain Solutions of a Reaction-Diffusion-Advection Model of Mussel-Algae Interaction, Cross-overs of Bramson's shift at the transition between pulled and pushed fronts, Longtime Behavior of Solutions of a SIS Epidemiological Model, The elephant mode between two rotating disks, Cyclic ecological systems with an exceptional species, A mathematical biologist's guide to absolute and convective instability, An estimation of level sets for non local KPP equations with delay, Viscoelastic effects on the jetting–dripping transition in co-flowing capillary jets, A Ginzburg–Landau model for linear global modes in open shear flows, Analytic Traveling-Wave Solutions of the Kardar-Parisi-Zhang Interface Growing Equation with Different Kind of Noise Terms, Linear and Nonlinear Speed Selection for Mono-Stable Wave Propagations, Absolute stability and dynamical stabilisation in predator-prey systems, Anomalous spreading in a system of coupled Fisher-KPP equations, Upstream vortex and elastic wave in the viscoelastic flow around a confined cylinder, (In)stability of Travelling Waves in a Model of Haptotaxis, Modeling study of migration-driven lateral instability in autocatalytic systems, Discontinuous transition in a boundary driven contact process, Modelling evolution in a spatial continuum, Stochastic delocalization of finite populations, Extinction transition in stochastic population dynamics in a random, convective environment, Dynamical barriers for the random ferromagnetic Ising model on the Cayley tree: traveling-wave solution of the real space renormalization flow, Coherent structures near the boundary between excitable and oscillatory media, Instability of a thin viscous film flowing under an inclined substrate: steady patterns, Bifurcations of front motion in passive and active Allen–Cahn-type equations, HIGH ENERGY LIMIT IN QCD, Convective instability and boundary driven oscillations in a reaction-diffusion-advection model, Wave train selection by invasion fronts in the FitzHugh–Nagumo equation, Influence of molecular transport on burning rate and conditioned species concentrations in highly turbulent premixed flames, Instability in large bounded domains—branched versus unbranched resonances, Minimum wave speeds in monostable reaction–diffusion equations: sharp bounds by polynomial optimization, Anomalous roughness of turbulent interfaces with system size dependent local roughness exponent, Efficiency of the incomplete enumeration algorithm for Monte-Carlo simulation of linear and branched polymers, Absolute to convective instability transition in charged liquid jets, Corner defects in almost planar interface propagation, Pulled fronts and the reproductive individual, Population Growth and Persistence in a Heterogeneous Environment: the Role of Diffusion and Advection, Coarsening fronts, Rayleigh--Taylor instability of pulled versus pushed fronts, Travelling-wave analysis of a model describing tissue degradation by bacteria, Locating the transition from periodic oscillations to spatiotemporal chaos in the wake of invasion, Invasion Fronts Outside the Homoclinic Snaking Region in the Planar Swift--Hohenberg Equation, Nonvariational real Swift-Hohenberg equation for biological, chemical, and optical systems, Three-dimensional Rayleigh–Taylor instability under a unidirectional curved substrate, Stability of thin fluid films characterised by a complex form of effective disjoining pressure, Fluctuations of the front in a one dimensional model of $X+Y\to 2X$, Vertical shear alters chemical front speed in thin-layer flows, NONVARIATIONAL ISING–BLOCH TRANSITION IN PARAMETRICALLY DRIVEN SYSTEMS, Asymptotic Stability of Critical Pulled Fronts via Resolvent Expansions Near the Essential Spectrum, Elliptic General Analytic Solutions, Dynamics of spatially localized states in transitional plane Couette flow, Low-order modelling of wake meandering behind turbines, Refined long-time asymptotics for Fisher–KPP fronts, Growing Stripes, with and without Wrinkles, Stochastic Neural Field Theory, Solution of paraxial wave equation for inhomogeneous media in linear and quadratic approximation, Meromorphic solutions of a third order nonlinear differential equation, Unnamed Item, Non-existence of elliptic travelling wave solutions of the complex Ginzburg--Landau equation, Hydrodynamic-driven morphogenesis of karst draperies: spatio-temporal analysis of the two-dimensional impulse response, Kardar–Parisi–Zhang universality class for the critical dynamics of reaction–diffusion fronts, Domain Wall Motion in Axially Symmetric Spintronic Nanowires, Spectral stability of pattern-forming fronts in the complex Ginzburg–Landau equation with a quenching mechanism, Existence of Traveling Wave Solutions for a Model of Tumor Invasion, Asymptotic methods for reaction-diffusion systems: past and present, Pushed and pulled fronts in a discrete reaction-diffusion equation, One-dimensional reaction-diffusion dynamics in spatially bounded domains, Boundary integral approach for propagating interfaces in a binary non-isothermal mixture, Beyond rock-paper-scissors systems -- deterministic models of cyclic ecological systems with more than three species, Spreading speed of the periodic Lotka-Volterra competition model, Traveling wave solutions in a model for tumor invasion with the acid-mediation hypothesis, Modulating traveling fronts in a dispersive Swift-Hohenberg equation coupled to an additional conservation law, Ecological invasion, roughened fronts, and a competitor's extreme advance: integrating stochastic spatial-growth models, Instability of periodic traveling wave solutions in a modified Fitzhugh-Nagumo model for excitable media, The dynamics of functioning investigating societal transitions with partial differential equations, Gene drive through a landscape: reaction-diffusion models of population suppression and elimination by a sex ratio distorter, A traveling wave model for invasion by precursor and differentiated cells, Stochastic approach to Fisher and Kolmogorov, Petrovskii, and Piskunov wave fronts for species with different diffusivities in dilute and concentrated solutions, Large deviations for the branching Brownian motion in presence of selection or coalescence, Lagrangian numerical methods for ocean biogeochemical simulations, Instabilities and propagation properties in a fourth-order reaction-diffusion equation, Biological control with nonlocal interactions, Speed selection and stability of wavefronts for delayed monostable reaction-diffusion equations, Speed and fluctuations of \(N\)-particle branching Brownian motion with spatial selection, Multiplicity of supercritical fronts for reaction-diffusion equations in cylinders, From the double vortex street behind a cylinder to the wake of a sphere, Environmental stochasticity and the speed of evolution, Structural sensitivities of soft and steep nonlinear global modes in spatially developing media, A geometric approach to bistable front propagation in scalar reaction-diffusion equations with cut-off, Meromorphic traveling wave solutions of the complex cubic-quintic Ginzburg-Landau equation, A proof of anomalous invasion speeds in a system of coupled Fisher-KPP equations, Detection and construction of an elliptic solution of the complex cubic-quintic Ginzburg-Landau equation, Gene surfing in expanding populations, Kinetic modeling of local epidemic spread and its simulation, Two-dimensional localized structures in harmonically forced oscillatory systems, Invasions slow down or collapse in the presence of reactive boundaries, Triggered fronts in the complex Ginzburg Landau equation, Asymptotic stability of the critical pulled front in a Lotka-Volterra competition model, Spatio-temporal organization in a morphochemical electrodeposition model: analysis and numerical simulation of spiral waves, Soliton solutions and Bäcklund transformation for the complex Ginzburg-Landau equation, A geometric analysis of front propagation in a family of degenerate reaction-diffusion equations with cutoff, Numerical computation of an Evans function for travelling waves, Asymmetric counter propagation of domain walls, Stability of periodic traveling waves in the Aliev-Panfilov reaction-diffusion system, An exactly solvable travelling wave equation in the Fisher-KPP class, Numerical continuation methods for studying periodic travelling wave (wavetrain) solutions of partial differential equations, Wave train selection behind invasion fronts in reaction-diffusion predator-prey models, Evolutionary game theory: theoretical concepts and applications to microbial communities, Inside dynamics of pulled and pushed fronts, Criteria for pointwise growth and their role in invasion processes, Wave pinning in competition-diffusion models in variable environments, Effect of complex landscape geometry on the invasive species spread: invasion with stepping stones, Mathematical modeling of cyclic population dynamics, Bifurcation to locked fronts in two component reaction-diffusion systems, Travelling wave solutions in a negative nonlinear diffusion-reaction model, Quasi-stationary regime of a branching random walk in presence of an absorbing wall, Existence of traveling waves of invasion for Ginzburg-Landau-type problems in infinite cylinders, Paladins as predators: invasive waves in a spatial evolutionary adversarial game, Asymptotic spreading of interacting species with multiple fronts. II: Exponentially decaying initial data, Traveling waves in delayed reaction-diffusion equations in biology, How do dispersal rates affect the transition from periodic to irregular spatio-temporal oscillations in invasive predator-prey systems?, Lattice models for invasions through patchy environments, From invasion to extinction in heterogeneous neural fields, Invasion fronts on graphs: the Fisher-KPP equation on homogeneous trees and Erdős-Réyni graphs, Pinned, locked, pushed, and pulled traveling waves in structured environments, Complex predator invasion waves in a Holling-Tanner model with nonlocal prey interaction, The speed of evolution in large asexual populations, Effect of noise on front propagation in reaction-diffusion equations of KPP type, Exact minimum speed of traveling waves in a Keller-Segel model, Front propagation in the bromate-sulfite-ferrocyanide-aluminum (III) system: autocatalytic front in a buffer system, A branching random walk seen from the tip, Existence of traveling waves for the generalized F-KPP equation, Pattern forming pulled fronts: bounds and universal convergence, Spreading speeds in slowly oscillating environments, The power of choice in growing trees, Localized states and non-variational Ising-Bloch transition of a parametrically driven easy-plane ferromagnetic wire, Growth rates of the population in a branching Brownian motion with an inhomogeneous breeding potential, Large deviations of the front in a one-dimensional model of \(X+Y\rightarrow 2X\), Front dynamics in fractional-order epidemic models, Effect of environmental fluctuations on invasion fronts, Front dynamics in a two-species competition model driven by Lévy flights, Dynamics of fronts in optical media with linear gain and nonlinear losses, Computing reactive front speeds in random flows by variational principle, Deviation from the predicted wave number in a mode selection problem for the Turing patterns, Self-organization of mobile populations in cyclic competition, The minimal wave speed of a general reaction-diffusion equation with nonlinear advection, Genetic hitchhiking in spatially extended populations, Log-correlated large-deviation statistics governing Huygens fronts in turbulence, On pushed wavefronts of monostable equation with unimodal delayed reaction, Toxin-mediated competition in weakly motile bacteria, Travelling waves in monostable and bistable stochastic partial differential equations, Spiral patterns and numerical bifurcation analysis in a three-component Brusselator model for chemical reactions, Locked fronts in a discrete time discrete space population model, The invasion speed of cell migration models with realistic cell cycle time distributions, Genealogies in bistable waves, Spatially hybrid computations for streamer discharges with generic features of pulled fronts. I: Planar fronts, Stability of non-monotone critical traveling waves for reaction-diffusion equations with time-delay, Epidemic spreading on complex networks as front propagation into an unstable state, Inhibitor-induced wavetrains and spiral waves in an extended FitzHugh-Nagumo model of nerve cell dynamics, Invariance principles and log-distance of F-KPP fronts in a random medium, Periodic recurrent waves of Covid-19 epidemics and vaccination campaign, Hopf bifurcation from fronts in the Cahn-Hilliard equation, Wave speeds for the FKPP equation with enhancements of the reaction function, Phyllotaxis: some progress, but a story far from over, Pushed fronts in a Fisher-KPP-Burgers system using geometric desingularization, Ahead of the Fisher–KPP front, Pushed-to-pulled front transitions: continuation, speed scalings, and hidden monotonicty, Universal selection of pulled fronts, Agent-based and continuum models for spatial dynamics of infection by oncolytic viruses, Quantitative steepness, semi-FKPP reactions, and pushmi-pullyu fronts, Front selection in reaction-diffusion systems via diffusive normal forms, All meromorphic traveling waves of cubic and quintic complex Ginzburg-Landau equations, Domain walls and vector solitons in the coupled nonlinear Schrödinger equation, Computing dynamics of thin films via large scale GPU-based simulations, Shifting Consensus in a Biased Compromise Model, Sharp decay rates for localized perturbations to the critical front in the Ginzburg-Landau equation


Uses Software


Cites Work