Geometric shape of invariant manifolds for a class of stochastic partial differential equations

DOI10.1063/1.3614777zbMath1317.35302arXiv1009.2554OpenAlexW2025297686WikidataQ115333385 ScholiaQ115333385MaRDI QIDQ5266081

Jian Zhang, Guanggan Chen, Jin-qiao Duan

Publication date: 29 July 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.2554

Mathematics Subject Classification ID

White noise theory (60H40) PDEs with randomness, stochastic partial differential equations (35R60) Invariant manifold theory for dynamical systems (37D10)

Related Items (10)

Continuity of dynamical behaviors for strongly damped wave equations with perturbation ⋮ Centre manifolds for stochastic evolution equations ⋮ Approximation representation of parameterizing manifold and non-Markovian reduced systems for a stochastic Swift-Hohenberg equation ⋮ Slow foliation of a slow-fast stochastic evolutionary system ⋮ Existence and approximation of manifolds for the Swift-Hohenberg equation with a parameter ⋮ Approximation of random invariant manifolds for a stochastic Swift-Hohenberg equation ⋮ Finite dimensional reducing and smooth approximating for a class of stochastic partial differential equations ⋮ Global existence for stochastic strongly dissipative Zakharov equations ⋮ Representation of manifolds for the stochastic Swift-Hohenberg equation with multiplicative noise ⋮ Transitions in stochastic non-equilibrium systems: efficient reduction and analysis

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Qualitative properties of local random invariant manifolds for SPDEs with quadratic nonlinearity
• Invariant manifolds for stochastic wave equations
• Geometric theory of semilinear parabolic equations
• Infinite-dimensional dynamical systems in mechanics and physics.
• Invariant manifolds for stochastic partial differential equations.
• Smooth stable and unstable manifolds for stochastic evolutionary equations
• A concise course on stochastic partial differential equations
• Probability and partial differential equations in modern applied mathematics. Selected papers presented at the 2003 IMA summer program, Minneapolis, MN, USA, July 21 -- August 1, 2003
• Numerical simulations for two-dimensional stochastic incompressible Navier-Stokes equations
• Existence of invariant manifolds for coupled parabolic and hyperbolic stochastic partial differential equations
• Mathematical Modeling in Continuum Mechanics
• CONCEPTUAL STOCHASTIC CLIMATE MODELS
• An impact of noise on invariant manifolds in nonlinear dynamical systems
• The stable manifold theorem for semilinear stochastic evolution equations and stochastic partial differential equations
• Stochastic Equations in Infinite Dimensions

This page was built for publication: Geometric shape of invariant manifolds for a class of stochastic partial differential equations