Stationary Solutions for a Model of Amorphous Thin-Film Growth

DOI10.1081/SAP-120037624zbMath1057.60060arXivmath-ph/0204044WikidataQ56894533 ScholiaQ56894533MaRDI QIDQ4826124

Dirk Blömker, Martin Hairer

Publication date: 11 November 2004

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0204044

zbMATH Keywords

spectral Galerkin methodmild solutionstationary solutionstochastic partial differential equation

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (8)

Numerical Continuation and SPDE Stability for the 2D Cubic-Quintic Allen--Cahn Equation ⋮ Stochastic PDEs and lack of regularity: a surface growth equation with noise: existence, uniqueness, and blow-up ⋮ Global solutions in higher dimensions to a fourth-order parabolic equation modeling epitaxial thin-film growth ⋮ Improved moment estimates for invariant measures of semilinear diffusions in Hilbert spaces and applications ⋮ Stochastic Cahn-Hilliard equation with singular nonlinearity and reflection ⋮ Markovianity and ergodicity for a surface growth PDE ⋮ On regularity properties of a surface growth model ⋮ Stochastically bounded solutions and stationary solutions of stochastic differential equations in Hilbert spaces

Cites Work

• Unnamed Item
• Unnamed Item
• A note on nonlinear stochastic equations in Hilbert spaces
• Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors
• Stochastic equations in Hilbert space with application to Navier-Stokes equations in any dimension
• The stochastic Landau equation as an amplitude equation
• A global attracting set for the Kuramoto-Sivashinsky equation
• On the existence of solutions for amorphous molecular beam epitaxy
• Martingale and stationary solutions for stochastic Navier-Stokes equations
• Mathematical Problems of Statistical Hydromechanics
• Thin-film-growth models: roughness and correlation functions
• Ergodicity for Infinite Dimensional Systems

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