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A new estimate for the Ginzburg-Landau approximation on the real axis

https://doi.org/10.1007/bf02430625
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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-3-322-96662-9openalex-snapshot
Partielle Differentialgleichungen
inferredcites →https://doi.org/10.1007/bf02278004openalex-snapshot
The time dependent amplitude equation for the Swift-Hohenberg problem
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Finite bandwidth, finite amplitude convection
inferredcites →https://doi.org/10.1017/s0308210500020989openalex-snapshot
The validity of modulation equations for extended systems with cubic nonlinearities

What points at this work

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inferred← citeshttps://doi.org/10.1002/(sici)1099-1476(199606)19:9<717::aid-mma792>3.0.co;2-zopenalex-snapshot
The Validity of Generalized Ginzburg-Landau Equations
inferred← citeshttps://doi.org/10.1002/(sici)1099-1476(19970925)20:14<1239::aid-mma917>3.0.co;2-oopenalex-snapshot
On the Validity of the degenerate Ginzburg—Landau equation
inferred← citeshttps://doi.org/10.1002/(sici)1099-1476(19980910)21:13<1207::aid-mma992>3.0.co;2-8openalex-snapshot
Modulation equations and parabolic limits of reaction random-walk systems
inferred← citeshttps://doi.org/10.1002/1521-4001(200011)80:11/12<745::aid-zamm745>3.0.co;2-9openalex-snapshot
Nonlinear Stability of Bifurcating Front Solutions for the Taylor-Couette Problem
inferred← citeshttps://doi.org/10.1002/1522-2616(200006)214:1<53::aid-mana53>3.0.co;2-4openalex-snapshot
Comparison of Inertial Manifolds and Application to Modulated Systems
inferred← citeshttps://doi.org/10.1002/mma.2654openalex-snapshot
Justification of the Ginzburg–Landau approximation for an instability as it appears for Marangoni convection
inferred← citeshttps://doi.org/10.1002/pamm.201410467openalex-snapshot
Error estimates for the Ginzburg‐Landau approximation: an overview and recent results
inferred← citeshttps://doi.org/10.1007/978-3-0348-8974-2_9openalex-snapshot
Renormalization Group for Fronts and Patterns
inferred← citeshttps://doi.org/10.1007/978-3-642-56589-2_24openalex-snapshot
Stability and Diffusive Dynamics on Extended Domains
inferred← citeshttps://doi.org/10.1007/978-94-009-0239-8_6openalex-snapshot
Long Wavelength Oscillatory Instability in Binary Fluids
inferred← citeshttps://doi.org/10.1007/bf00379917openalex-snapshot
Bifurcations of Poiseuille flow between parallel plates: Three-dimensional solutions with large spanwise wavelength
inferred← citeshttps://doi.org/10.1007/bf00945930openalex-snapshot
Error estimates for the Ginzburg-Landau approximation
inferred← citeshttps://doi.org/10.1007/bf02108810openalex-snapshot
Global existence via Ginzburg-Landau formalism and pseudo-orbits of Ginzburg-Landau approximations
inferred← citeshttps://doi.org/10.1007/bf02108820openalex-snapshot
Diffusive stability of spatial periodic solutions of the Swift-Hohenberg equation
inferred← citeshttps://doi.org/10.1007/s00220-019-03573-7openalex-snapshot
Modulation Equation and SPDEs on Unbounded Domains
inferred← citeshttps://doi.org/10.1007/s00332-009-9043-4openalex-snapshot
Validity of Whitham’s Equations for the Modulation of Periodic Traveling Waves in the NLS Equation
inferred← citeshttps://doi.org/10.1007/s00332-010-9077-7openalex-snapshot
Justification of the Ginzburg–Landau Approximation in Case of Marginally Stable Long Waves
inferred← citeshttps://doi.org/10.1007/s003320010011openalex-snapshot
Stable Modulating Multipulse Solutions for Dissipative Systems with Resonant Spatially Periodic Forcing
inferred← citeshttps://doi.org/10.1007/s003329900041openalex-snapshot
Derivation of the Time-Dependent Ginzburg-Landau Equation on the Line
inferred← citeshttps://doi.org/10.1007/s003329900042openalex-snapshot
Hopf Bifurcation in Spatially Extended Reaction—Diffusion Systems
inferred← citeshttps://doi.org/10.1007/s003329900067openalex-snapshot
Scaling Methods and Approximative Equations for Homogeneous Reaction—Diffusion Systems and Applications to Epidemics
inferred← citeshttps://doi.org/10.1007/s11401-018-1057-5openalex-snapshot
Approximate solution of the Kuramoto-Shivashinsky equation on an unbounded domain
inferred← citeshttps://doi.org/10.1016/j.jde.2009.02.003openalex-snapshot
Nonlinear convective stability of travelling fronts near Turing and Hopf instabilities
inferred← citeshttps://doi.org/10.1016/j.jde.2026.114601openalex-snapshot
Validity of the stochastic Ginzburg-Landau approximation in higher space dimensions: A Wiener algebra approach
inferred← citeshttps://doi.org/10.1016/j.jmaa.2006.09.022openalex-snapshot
Approximation and attractivity properties of the degenerated Ginzburg–Landau equation
inferred← citeshttps://doi.org/10.1016/j.physd.2025.134531openalex-snapshot
The amplitude equation for the space-fractional Swift–Hohenberg equation
inferred← citeshttps://doi.org/10.1016/s0021-7824(98)00007-5openalex-snapshot
Global existence results for pattern forming processes in infinite cylindrical domains — Applications to 3D Navier–Stokes problems
inferred← citeshttps://doi.org/10.1016/s0167-2789(00)00010-5openalex-snapshot
Existence and stability of modulating pulse-solutions in a phenomenological model of nonlinear optics
inferred← citeshttps://doi.org/10.1016/s1874-575x(02)80036-4openalex-snapshot
The Ginzburg-Landau Equation in Its Role as a Modulation Equation
inferred← citeshttps://doi.org/10.1017/s0308210500029942openalex-snapshot
Justification of mean-field coupled modulation equations
inferred← citeshttps://doi.org/10.1063/1.4993112openalex-snapshot
Validity of amplitude equations for nonlocal nonlinearities
inferred← citeshttps://doi.org/10.1063/5.0039367openalex-snapshot
Modulation theory for pattern forming systems with a spatial 1:2-resonance
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/10.1063/5.0324316openalex-snapshot
On the Ginzburg–Landau approximation for quasilinear pattern forming reaction–diffusion–advection systems
inferred← citeshttps://doi.org/10.1088/0951-7715/20/6/003openalex-snapshot
The amplitude equations for the first instability of electro-convection in nematic liquid crystals in the case of two unbounded space directions
inferred← citeshttps://doi.org/10.1088/0951-7715/20/7/009openalex-snapshot
Multiscale analysis for stochastic partial differential equations with quadratic nonlinearities
inferred← citeshttps://doi.org/10.1088/0951-7715/8/5/006openalex-snapshot
Attractors for modulation equations on unbounded domains-existence and comparison
inferred← citeshttps://doi.org/10.1088/0951-7715/8/6/004openalex-snapshot
Phase slips and the Eckhaus instability
inferred← citeshttps://doi.org/10.1111/sapm.70140openalex-snapshot
Pattern Formation and Nonlinear Waves Close to a 1:1 Resonant Turing and Turing–Hopf Instability
inferred← citeshttps://doi.org/10.1137/16m1071687openalex-snapshot
The Validity of Whitham's Approximation for a Klein--Gordon--Boussinesq Model
inferred← citeshttps://doi.org/10.1137/21m1431333openalex-snapshot
Modulation and Amplitude Equations on Bounded Domains for Nonlinear SPDEs Driven by Cylindrical $\alpha$-stable Lévy Processes
inferred← citeshttps://doi.org/10.1137/21m1451038openalex-snapshot
Nonlinear Convective Stability of a Critical Pulled Front Undergoing a Turing Bifurcation at Its Back: A Case Study
inferred← citeshttps://doi.org/10.1137/s0036139902405900openalex-snapshot
Approximation of the Integral Boundary Layer Equation by the Kuramoto--Sivashinsky Equation
inferred← citeshttps://doi.org/10.1142/9789812567840_0003openalex-snapshot
VALIDITY OF THE GINZBURG-LANDAU APPROXIMATION IN PATTERN FORMING SYSTEMS WITH TIME PERIODIC FORCING
inferred← citeshttps://doi.org/10.2969/aspm/06410359openalex-snapshot
Allen–Cahn equation as a long-time modulation to a reaction-diffusion system
inferred← citeshttps://doi.org/10.3390/math8050727openalex-snapshot
Justification of the Lugiato-Lefever model from a damped driven $\phi^4$ equation
inferred← citeshttps://doi.org/10.3934/dcds.2015.35.537openalex-snapshot
Spectrum and amplitude equations for scalar delay-differential equations with large delay
inferred← citeshttps://doi.org/10.3934/dcdss.2021119openalex-snapshot
The amplitude system for a Simultaneous short-wave Turing and long-wave Hopf instability
inferred← citeshttps://doi.org/10.48550/arxiv.math/0611537openalex-snapshot
Multiscale Analysis for SPDEs with Quadratic Nonlinearities
inferred← citeshttps://doi.org/10.70675/ab61c6b6z0bd7z4439z9b23z8d8a65f1c3f6openalex-snapshot
A study of the complications regarding the derivation of amplitude equations via weakly nonlinear analysis for non-self-adjoint partial differential equations
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