Amplitude equations for SPDEs with cubic nonlinearities
From MaRDI portal
Publication:5411901
DOI10.1080/17442508.2011.624628zbMath1291.60127OpenAlexW2080590752MaRDI QIDQ5411901
Dirk Blömker, Wael W. Mohammed
Publication date: 25 April 2014
Published in: Stochastics (Search for Journal in Brave)
Full work available at URL: https://opus.bibliothek.uni-augsburg.de/opus4/files/42588/wmdb20110830.pdf
Swift-Hohenberg equationslow-fast systemmulti-scale analysisamplitude equationstabilization by noisehigher order corrections
Related Items
Numerical Continuation and SPDE Stability for the 2D Cubic-Quintic Allen--Cahn Equation, Amplitude equation with quintic nonlinearities for the generalized Swift-Hohenberg equation with additive degenerate noise, IMPACT OF THE SAME DEGENERATE ADDITIVE NOISE ON A COUPLED SYSTEM OF FRACTIONAL SPACE DIFFUSION EQUATIONS, Amplitude equations for SPDEs driven by fractional additive noise with small hurst parameter, Modulation and Amplitude Equations on Bounded Domains for Nonlinear SPDEs Driven by Cylindrical $\alpha$-stable Lévy Processes, The high-order approximation of SPDEs with multiplicative noise via amplitude equations, Bifurcation Theory for SPDEs: Finite-time Lyapunov Exponents and Amplitude Equations, Stochastic amplitude equation for the stochastic generalized Swift-Hohenberg equation, Patterns and coherence resonance in the stochastic Swift-Hohenberg equation with Pyragas control: the Turing bifurcation case, Early-warning signs for pattern-formation in stochastic partial differential equations, BIFURCATION FROM TWO EQUILIBRIA OF STEADY STATE SOLUTIONS FOR NON-REVERSIBLE AMPLITUDE EQUATIONS, Fast-diffusion limit for reaction-diffusion equations with degenerate multiplicative and additive noise, Numerical study of amplitude equations for SPDEs with degenerate forcing, Multi-scale analysis of SPDEs with degenerate additive noise, Amplitude equation for the generalized Swift-Hohenberg equation with noise, Amplitude equation for the stochastic reaction-diffusion equations with random Neumann boundary conditions, A Multiscale Analysis of Traveling Waves in Stochastic Neural Fields, Fast Diffusion Limit for Reaction-Diffusion Systems with Stochastic Neumann Boundary Conditions, Amplitude equations for SPDEs with cubic nonlinearity forced by general multiplicative Gaussian noise, Dominant dynamics for a class of singularly perturbed stochastic partial differential equations with quadratic nonlinearities and random Neumann boundary conditions
Cites Work
- Fast transport asymptotics for stochastic RDEs with boundary noise
- Additive noise-induced Turing transitions in spatial systems with application to neural fields and the Swift-Hohenberg equation
- The stochastic Landau equation as an amplitude equation
- Multiscale expansion of invariant measures for SPDEs
- Macroscopic reduction for stochastic reaction-diffusion equations
- Multiscale analysis for stochastic partial differential equations with quadratic nonlinearities
- Pattern formation outside of equilibrium
- A fourth‐order parabolic equation in two space dimensions