ERGODICITY FOR THE PHASE-FIELD EQUATIONS PERTURBED BY GAUSSIAN NOISE

DOI10.1142/S0219025711004298zbMath1218.74020OpenAlexW2132126554MaRDI QIDQ2996892

Viorel Barbu, Giuseppe Da Prato

Publication date: 4 May 2011

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025711004298

zbMATH Keywords

Gaussian noiseergodicityphase transitioninvariant measurestrong mixingtransition semigroupdeterministic approachphase-field modelingphase-field equationsstrong Fellermicrostructure evolutionstochastic Stefan problem

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Ergodicity, mixing, rates of mixing (37A25) Phase transitions (general) in equilibrium statistical mechanics (82B26) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Generation, random and stochastic difference and differential equations (37H10) Analysis of microstructure in solids (74N15)

Cites Work

• Existence and boundedness of solutions for a singular phase field system
• Analysis and control of nonlinear infinite dimensional systems
• A phase field system perturbed by noise
• The two phase stochastic Stefan problem
• The stochastic obstacle problem for the harmonic oscillator with damping
• Convergence of the phase field model to its sharp interface limits
• Ergodicity for Infinite Dimensional Systems