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Global existence via Ginzburg-Landau formalism and pseudo-orbits of Ginzburg-Landau approximations
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Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1002/zamm.19730531022openalex-snapshot
J. L. Lions and E. Magenes, Non‐Homogeneous Boundary Value Problems and Applications, II. (Die Grundlehren d. Math. Wissenschaften, Bd. 182). XI + 242 S. Berlin/Heidelberg/New York 1972. Springer‐Verlag. Preis geb. DM 58,—
inferredcites →https://doi.org/10.1007/978-3-642-65217-2openalex-snapshot
Non-Homogeneous Boundary Value Problems and Applications
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Non-Homogeneous Boundary Value Problems and Applications
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The analysis of linear partial differential operators
inferredcites →https://doi.org/10.1007/bf00945930openalex-snapshot
Error estimates for the Ginzburg-Landau approximation
inferredcites →https://doi.org/10.1007/bf00946240openalex-snapshot
Reduction of PDEs on domains with several unbounded directions: A first step towards modulation equations
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/bf02429869openalex-snapshot
The Ginzburg-Landau manifold is an attractor
inferredcites →https://doi.org/10.1007/bf02430625openalex-snapshot
A new estimate for the Ginzburg-Landau approximation on the real axis
inferredcites →https://doi.org/10.1007/bfb0089647openalex-snapshot
Geometric Theory of Semilinear Parabolic Equations
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On the abstract Cauchy problem of parabolic type in spaces of continuous functions
inferredcites →https://doi.org/10.1017/s0022112069000176openalex-snapshot
Finite bandwidth, finite amplitude convection
inferredcites →https://doi.org/10.1017/s0022112071002337openalex-snapshot
Non-linear wave-number interaction in near-critical two-dimensional flows
inferredcites →https://doi.org/10.1017/s0308210500020989openalex-snapshot
The validity of modulation equations for extended systems with cubic nonlinearities
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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The Validity of Generalized Ginzburg-Landau Equations
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On the Validity of the degenerate Ginzburg—Landau equation
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Comparison of Inertial Manifolds and Application to Modulated Systems
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Error estimates for the Ginzburg‐Landau approximation: an overview and recent results
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The Turing Instability in Case of an Additional Conservation Law—Dynamics Near the Eckhaus Boundary and Open Questions
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Stability and Diffusive Dynamics on Extended Domains
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Diffusive stability of spatial periodic solutions of the Swift-Hohenberg equation
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Justification of modulation equations for hyperbolic systems via normal forms
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Nonlinear Stability of Taylor Vortices in Infinite Cylinders
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Modulation Equation and SPDEs on Unbounded Domains
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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/s003329900042openalex-snapshot
Hopf Bifurcation in Spatially Extended Reaction—Diffusion Systems
inferred← citeshttps://doi.org/10.1007/s10884-024-10380-9openalex-snapshot
Global Existence for Long Wave Hopf Unstable Spatially Extended Systems with a Conservation Law
inferred← citeshttps://doi.org/10.1016/j.anihpc.2008.03.003openalex-snapshot
Null controllability of the complex Ginzburg–Landau equation
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.2016.03.010openalex-snapshot
Attractivity of the Ginzburg–Landau mode distribution for a pattern forming system with marginally stable long modes
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.2006.09.022openalex-snapshot
Approximation and attractivity properties of the degenerated Ginzburg–Landau 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(01)00174-9openalex-snapshot
Traveling hole solutions of the complex Ginzburg–Landau equation: a review
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
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Amplitude Equation for Lattice Maps, A Renormalization Group Approach
inferred← citeshttps://doi.org/10.1088/0951-7715/10/1/014openalex-snapshot
The complex Ginzburg - Landau equation on large and unbounded domains: sharper bounds and attractors
inferred← citeshttps://doi.org/10.1088/0951-7715/13/1/305openalex-snapshot
Existence and stability of standing hole solutions to complex Ginzburg-Landau equations
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The amplitude equations for the first instability of electro-convection in nematic liquid crystals in the case of two unbounded space directions
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Dynamical transitions of Turing patterns
inferred← citeshttps://doi.org/10.1088/0951-7715/9/3/004openalex-snapshot
Existence and stability of singular heteroclinic orbits for the Ginzburg - Landau equation
inferred← citeshttps://doi.org/10.1090/conm/806/16150openalex-snapshot
A formal geometric blow-up method for pattern forming systems
inferred← citeshttps://doi.org/10.1103/physreve.105.034206openalex-snapshot
Oscillatory periodic pattern dynamics in hyperbolic reaction-advection-diffusion models
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The world of the complex Ginzburg-Landau equation
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/10.1142/9789812567840_0003openalex-snapshot
VALIDITY OF THE GINZBURG-LANDAU APPROXIMATION IN PATTERN FORMING SYSTEMS WITH TIME PERIODIC FORCING
inferred← citeshttps://doi.org/10.18419/opus-5210openalex-snapshot
Validity and attractivity of amplitude equations
inferred← citeshttps://doi.org/10.3390/math11132907openalex-snapshot
Dynamics of Newtonian Liquids with Distinct Concentrations Due to Time-Varying Gravitational Acceleration and Triple Diffusive Convection: Weakly Non-Linear Stability of Heat and Mass Transfer
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Large-amplitude modulation of periodic traveling waves
inferred← citeshttps://doi.org/10.48550/arxiv.0706.2309openalex-snapshot
Formation and Persistence of Spatiotemporal Turing Patterns
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Some characterizations of the Taylor-Couette attractor
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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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