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Front propagation into unstable states (Q1409697)

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Language	Label	Description	Also known as
English	Front propagation into unstable states	scientific article

Statements

scholarly article

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Front propagation into unstable states (English)

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zbMATH Open document ID

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10.1016/j.physrep.2003.08.001

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Wim van Saarloos

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Physics Reports

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publication date

19 October 2003

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full work available at URL

https://arxiv.org/abs/cond-mat/0308540

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

linear dynamical equations

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fully nonlinear equations

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power law relaxation behavior

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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cond-mat/0308540

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Front speed enhancement in cellular flows

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Traveling waves of infection in the hantavirus epidemics

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Quasi-periodic cylinder wakes and the Ginzburg–Landau model

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The world of the complex Ginzburg-Landau equation

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Multidimensional nonlinear diffusion arising in population genetics

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Stability and noise in Taylor-Couette flow with through-flow

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A nonlinear dynamo wave riding on a spatially varying background

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Phase field models for hypercooled solidification

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Plumes in Hele–Shaw cells

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On the existence of monotonic fronts for a class of physical problems described by the equation lambda w'''+w'=f(w)

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Variational characterization of the speed of propagation of fronts for the nonlinear diffusion equation

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Phase space derivation of a variational principle for one-dimensional Hamiltonian systems

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Pattern propagation in nonlinear dissipative systems

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Front propagation in periodic excitable media

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Experiments on three systems with non-variational aspects

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Turbulence, power laws and Galilean invariance

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The Accommodation of Traveling Waves of Fisher’s Type to the Dynamics of the Leading Tail

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Convergence of solutions of the Kolmogorov equation to travelling waves

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Microscopic selection principle for a diffusion-reaction equation

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Fluctuation effects on wave propagation in a reaction-diffusion process

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Renormalization group and the Ginzburg-Landau equation

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Stability of moving fronts in the Ginzburg-Landau equation

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Effect of microscopic noise on front propagation

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Theory of Laminar Flames

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On a Nonlinear Diffusion Equation Describing Population Growth

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Topological transitions and freezing in \(XY\) models and Coulomb gases with quenched disorder: Renormalization via traveling waves

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Subcritical transition in channel flows

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Spatiotemporal intermittency regimes of the one-dimensional complex Ginzburg-Landau equation

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Absolute and convective instabilities in nonlinear systems

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Symmetry reductions and exact solutions of a class of nonlinear heat equations

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A rigorous upper bound on the propagation speed for the Swift-Hohenberg and related equations

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Linearity inside nonlinearity: Exact solutions to the complex Ginzburg-Landau equation

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Absolute and convective instabilities, front velocities and global modes in nonlinear systems

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Primary and secondary nonlinear global instability

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Pushed global modes in weakly inhomogeneous subcritical flows

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Sources and sinks of wave patterns

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Retracting fronts induce spatiotemporal intermittency

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Pattern formation outside of equilibrium

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Spatially growing waves, intermittency, and convective chaos in an open- flow system

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EXPERIMENTAL STUDY OF STATIONARY TURING PATTERNS AND THEIR INTERACTION WITH TRAVELING WAVES IN A CHEMICAL SYSTEM

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Reaction-diffusion equations for interacting particle systems

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Polymers on disordered trees, spin glasses, and traveling waves.

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Run for your life. A note on the asymptotic speed of propagation of an epidemic

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Propagation of hexagonal patterns near onset

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Fluctuations and correlations in a diffusion-reaction system: Exact hydrodynamics

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Interacting particles, the stochastic Fisher-Kolmogorov-Petrovsky-Piscounov equation, and duality

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Pattern formation in the one-dimensional Gray - Scott model

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Dynamics of interfaces in superconductors

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Traveling waves in pure fluids locally heated along wires

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Maxima of branching random walks vs. independent random walks

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An infinite particle system with additive interactions

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A Benard convection problem with a perturbed lower wall

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Front propagation into unstable states: Universal algebraic convergence towards uniformly translating pulled fronts

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Breakdown of the standard perturbation theory and moving boundary approximation for ``pulled'' fronts

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Universal algebraic convergence in time of pulled fronts: the common mechanism for difference-differential and partial differential equations

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Dual fronts propagating into an unstable state

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Statistical analysis of a semilinear hyperbolic system advected by a white in time random velocity field

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Propagation failure of traveling waves in a discrete bistable medium

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Two-dimensional patterns in Rayleigh-Taylor instability of a thin layer

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A new transform method for evolution partial differential equations

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Wave front propagation and large deviations for diffusion-transmutation process

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Reaction-diffusion in incompressible fluid: asymptotic problems.

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Scaling Variables and Stability of Hyperbolic Fronts

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Handbook of stochastic methods for physics, chemistry and natural sciences.

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Some problems in the theory of quasilinear equations

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Phase-field simulations and experiments of faceted growth in liquid crystals

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Pattern formation and dynamics in Rayleigh-Bénard convection: numerical simulations of experimentally realistic geometries

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Nonlinear oscillations, dynamical systems, and bifurcations of vector fields

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Wave growth and spreading of a turbulent spot in plane Poiseuille flow

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Solitary wave solutions of nonlinear evolution and wave equations using a direct method and MACSYMA

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Magnetic flux structures in superconductors. Extended reprint of a classic text.

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Instability of flows in spatially developing media

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An exact solution for travelling waves of \(u_ t=Du_{xx}+u-u^ k\)

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On the stability of travelling waves in weighted \(L^ \infty\) spaces

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Dynamic Scaling of Growing Interfaces

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Quantitative phase-field modeling of dendritic growth in two and three dimensions

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On the nonlinear dynamics of travelling fronts

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Interface Dynamics for Bacterial Colony Formation

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Modeling and numerical simulations of dendritic crystal growth

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Evidence for slow velocity relaxation in front propagation in Rayleigh-Bénard convection

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Transition from laminar convection to thermal turbulence in a rotating fluid layer

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Chemical oscillations, waves, and turbulence

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Directions in Condensed Matter Physics

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Transient Bounds and Time-Asymptotic Behavior of Solutions to Nonlinear Equations of Fisher Type

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The evolution of travelling waves in generalized Fisher equations via matched asymptotic expansions: algebraic corrections

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The evolution of reaction-diffusion waves in a class of scalar reaction-diffusion equations: algebraic decay rates

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Linear global modes in spatially developing media

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Gravitational instabilities of thin liquid layers: dynamics of pattern selection

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Proof of scale invariant solutions in the Kardar-Parisi-Zhang and Kuramoto-Sivashinsky equations in 1+1 dimensions: analytical and numerical results

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Travelling waves in a wound healing assay.

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Application of brownian motion to the equation of kolmogorov-petrovskii-piskunov

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Global linear stability analysis of weakly non-parallel shear flows

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Random travelling waves for the KPP equation with noise

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A global variational structure and propagation of disturbances in reaction-diffusion systems of gradient type

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Analytic solitary waves of nonintegrable equations

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Reaction-diffusion and phase waves occurring in a class of scalar reaction-diffusion equations

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Monotonicity and convergence results in order-preserving systems in the presence of symmetry

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Some symmetries of the nonlinear heat and wave equations

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Sources and sinks in 1D traveling waves

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Turbulent Combustion

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Steep nonlinear global modes in spatially developing media

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Bifurcation to fully nonlinear synchronized structures in slowly varying media

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Nonlinear self-sustained structures and fronts in spatially developing wake flows

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On the frequency selection of finite-amplitude vortex shedding in the cylinder wake

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Dynamic localization of Lyapunov vectors in spacetime chaos

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Non-generic connections corresponding to front solutions

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Propagation of a topological transition: The Rayleigh instability

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Noise-sustained structures due to convective instability in finite domains

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A particle model for the Kuramoto-Sivashinsky equation

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On the transition from the Ginzburg-Landau equation to the extended Fisher-Kolmogorov equation

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Existence and stability of traveling fronts in the extended Fisher-Kolmogorov equation.

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Essential instabilities of fronts: bifurcation, and bifurcation failure

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Defects in Oscillatory Media: Toward a Classification

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Weighted norms for the stability of traveling waves

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Spatiotemporal chaos in the one-dimensional complex Ginzburg-Landau equation

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On two types of moving front in quasilinear diffusion

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Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations

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Chaotic instabilities in smectic-<i>C</i>liquid crystals

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Convective and absolute instabilities of fluid flows in finite geometry

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Error propagation in extended chaotic systems

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On the FKPP equation with Gaussian shear advection

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Comment on ‘‘Absolute and convective instabilities in nonlinear systems’’

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Sources, sinks and wavenumber selection in coupled CGL equations and experimental implications for counter-propagating wave systems

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Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations

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Critical properties of convective waves in a one-dimensional system

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Construction of the Leray-Schauder degree for elliptic operators in unbounded domains

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Dynamo waves in semi–infinite and finite domains

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Front Propagation in Heterogeneous Media

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KPP front speeds in random shears and the parabolic Anderson problem

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Interfacial wave theory of pattern formation. Selection of dendritic growth and viscous fingering in Hele-Shaw flow

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Travelling wave solutions to nonlinear evolution and wave equations

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Mathematics(1 entry)

mardi Publication:1409697

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