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Reduction of PDEs on domains with several unbounded directions: A first step towards modulation equations
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Time-periodic Ginzburg-Landau equations for one dimensional patterns with large wave length
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Bifurcating time-periodic solutions of Navier-Stokes equations in infinite cylinders
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The time dependent amplitude equation for the Swift-Hohenberg problem
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On the validity of the Ginzburg-Landau equation
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Waves in weakly-coupled parabolic systems
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Non-linear wave-number interaction in near-critical two-dimensional flows
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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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Plates and Shells: Asymptotic Expansions and Hierarchic Models
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On the justification of plate theories in linear elasticity theory using exponential decay estimates
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The effect of nonlocal interactions on the dynamics of the Ginzburg-Landau equation
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Error estimates for the Ginzburg-Landau approximation
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Global existence via Ginzburg-Landau formalism and pseudo-orbits of Ginzburg-Landau approximations
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Modulation Equation and SPDEs on Unbounded Domains
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Modulational Stability of Travelling Waves in 2D Anisotropic Systems
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Derivation of the Time-Dependent Ginzburg-Landau Equation on the Line
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Reduction of PDEs on Unbounded Domains. Application: Unsteady Water-Waves Problem
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Nonlinear emergent macroscale PDEs, with error bound, for nonlinear microscale systems
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Normal forms and invariant manifolds for nonlinear, non-autonomous PDEs, viewed as ODEs in infinite dimensions
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Geometric blow-up of a dynamic Turing instability in the Swift-Hohenberg equation
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The Ginzburg-Landau Equation in Its Role as a Modulation Equation
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The validity of modulation equations for extended systems with cubic nonlinearities
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Uniform Elliptic Estimate for an Infinite Plate in Linear Elasticity
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Instability of small stationary localized solutions to a class of reversible 1+1 PDEs
inferred← citeshttps://doi.org/10.1090/memo/0786openalex-snapshot
Radially symmetric patterns of reaction-diffusion systems
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Steady-state bifurcation with Euclidean symmetry
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Macroscale, slowly varying, models emerge from the microscale dynamics: Fig. 1.
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Slowly varying, macroscale models emerge from microscale dynamics over multiscale domains
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Modulation and Amplitude Equations on Bounded Domains for Nonlinear SPDEs Driven by Cylindrical $\alpha$-stable Lévy Processes
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Bifurcation to Spiral Waves in Reaction-Diffusion Systems
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Decay properties of solutions of a Mindlin-type plate model for rhombic systems
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A new 3d–2d interior error estimate independent on the geometry of a linear elastic plate
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Backwards theory supports modelling via invariant manifolds for non-autonomous dynamical systems
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FIGURES 9–12 in Paracladopelma Harnisch from the Sino-Indian Region (Diptera: Chironomidae)
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