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Non-linear Stability of Modulated Fronts¶for the Swift-Hohenberg Equation
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Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/978-1-4419-7055-8openalex-snapshot
Partial Differential Equations I: Basic Theory
inferredcites →https://doi.org/10.1007/bf00945930openalex-snapshot
Error estimates for the Ginzburg-Landau approximation
inferredcites →https://doi.org/10.1007/bf02096573openalex-snapshot
Renormalization Group and the Ginzburg-Landau equation
inferredcites →https://doi.org/10.1007/bf02099781openalex-snapshot
The non-linear stability of front solutions for parabolic partial differential equations
inferredcites →https://doi.org/10.1007/bf02100026openalex-snapshot
Propagating fronts and the center manifold theorem
inferredcites →https://doi.org/10.1007/bf02108820openalex-snapshot
Diffusive stability of spatial periodic solutions of the Swift-Hohenberg equation
inferredcites →https://doi.org/10.1007/bf02278004openalex-snapshot
The time dependent amplitude equation for the Swift-Hohenberg problem
inferredcites →https://doi.org/10.1007/bf02429847openalex-snapshot
On the validity of the Ginzburg-Landau equation
inferredcites →https://doi.org/10.1007/pl00001491openalex-snapshot
Bifurcating fronts for the Taylor—Couette problem in infinite cylinders
inferredcites →https://doi.org/10.1007/s002050050042openalex-snapshot
Invariant Manifolds for Parabolic Partial Differential Equations on Unbounded Domains
inferredcites →https://doi.org/10.1007/s002050050115openalex-snapshot
Nonlinear Stability of Taylor Vortices in Infinite Cylinders
inferredcites →https://doi.org/10.1007/s002200050238openalex-snapshot
Geometric Stability Analysis for Periodic Solutions of the Swift-Hohenberg Equation
inferredcites →https://doi.org/10.1016/0001-8708(78)90130-5openalex-snapshot
Multidimensional nonlinear diffusion arising in population genetics
inferredcites →https://doi.org/10.1016/b978-0-12-585001-8.x5001-6openalex-snapshot
Methods of Modern Mathematical Physics
inferredcites →https://doi.org/10.1017/s0308210500020989openalex-snapshot
The validity of modulation equations for extended systems with cubic nonlinearities
inferredcites →https://doi.org/10.1088/0951-7715/7/3/003openalex-snapshot
Local stability of critical fronts in nonlinear parabolic partial differential equations
inferredcites →https://doi.org/10.1103/physrevlett.50.383openalex-snapshot
Propagating Pattern Selection
inferredcites →https://doi.org/10.1515/9781400861026openalex-snapshot
Instabilities and Fronts in Extended Systems
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1007/978-3-319-64173-7_3openalex-snapshot
The Turing Instability in Case of an Additional Conservation Law—Dynamics Near the Eckhaus Boundary and Open Questions
inferred← citeshttps://doi.org/10.1007/s00205-003-0289-yopenalex-snapshot
Hopf Bifurcation and Exchange of Stability in Diffusive Media
inferred← citeshttps://doi.org/10.1007/s00205-006-0027-3openalex-snapshot
Self-Similar Decay of Spatially Localized Perturbations of the Nusselt Solution for the Inclined Film Problem
inferred← citeshttps://doi.org/10.1007/s00285-017-1107-8openalex-snapshot
Wavenumber selection in coupled transport equations
inferred← citeshttps://doi.org/10.1007/s00332-025-10193-0openalex-snapshot
Fast-Moving Pattern Interfaces Close to a Turing Instability in an Asymptotic Model for the Three-Dimensional Bénard–Marangoni Problem
inferred← citeshttps://doi.org/10.1007/s10884-015-9491-5openalex-snapshot
Spinodal Decomposition and Coarsening Fronts in the Cahn–Hilliard Equation
inferred← citeshttps://doi.org/10.1007/s10884-021-10093-3openalex-snapshot
Sharp Decay Rates for Localized Perturbations to the Critical Front in the Ginzburg–Landau Equation
inferred← citeshttps://doi.org/10.1016/j.jde.2020.03.033openalex-snapshot
Modulating traveling fronts for the Swift-Hohenberg equation in the case of an additional conservation law
inferred← citeshttps://doi.org/10.1016/j.jde.2025.01.036openalex-snapshot
Geometric blow-up of a dynamic Turing instability in the Swift-Hohenberg equation
inferred← citeshttps://doi.org/10.1016/j.jmaa.2022.126224openalex-snapshot
Modulating traveling fronts in a dispersive Swift-Hohenberg equation coupled to an additional conservation law
inferred← citeshttps://doi.org/10.1016/j.matcom.2009.06.022openalex-snapshot
On the convective nature of the instability of a front undergoing a supercritical Turing bifurcation
inferred← citeshttps://doi.org/10.1016/s0167-2789(03)00230-6openalex-snapshot
Almost global existence and transient self similar decay for Poiseuille flow at criticality for exponentially long times
inferred← citeshttps://doi.org/10.1063/5.0144692openalex-snapshot
On self-similar patterns in coupled parabolic systems as non-equilibrium steady states
inferred← citeshttps://doi.org/10.1088/1361-6544/aa6c74openalex-snapshot
Linear spreading speeds from nonlinear resonant interaction*
inferred← citeshttps://doi.org/10.1088/1361-6544/abd612openalex-snapshot
Nonlinear stability of fast invading fronts in a Ginzburg–Landau equation with an additional conservation law
inferred← citeshttps://doi.org/10.1088/1361-6544/ac0f4fopenalex-snapshot
Asymptotic stability of viscous shocks in the modular Burgers equation
inferred← citeshttps://doi.org/10.1088/1361-6544/ac355bopenalex-snapshot
Spectral stability of pattern-forming fronts in the complex Ginzburg–Landau equation with a quenching mechanism
inferred← citeshttps://doi.org/10.1137/060670262openalex-snapshot
Nonlinear Convective Instability of Turing‐Unstable Fronts near Onset: A Case Study
inferred← citeshttps://doi.org/10.48550/arxiv.1609.05741openalex-snapshot
Wavenumber selection in coupled transport equations
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