Improved estimates for the sharp interface limit of the stochastic Cahn-Hilliard equation with space-time white noise

DOI10.4171/ifb/518MaRDI QIDQ6619392

Ľubomír Baňas, Jean Daniel Mukam

Publication date: 15 October 2024

Published in: Interfaces and Free Boundaries (Search for Journal in Brave)

zbMATH Keywords

space-time white noisestochastic Cahn-Hilliard equationsharp interface limitMullins-Sekerka/Hele-Shaw problem

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Free boundary problems for PDEs (35R35) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91)

Cites Work

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• Convergence of the Cahn-Hilliard equation to the Hele-Shaw model
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• Stochastic Cahn-Hilliard equation
• Higher moments for the stochastic Cahn–Hilliard equation with multiplicative Fourier noise
• Stochastic Equations in Infinite Dimensions
• Free Energy of a Nonuniform System. I. Interfacial Free Energy
• Robust a posteriori estimates for the stochastic Cahn-Hilliard equation
• Sharp interface limit of stochastic Cahn-Hilliard equation with singular noise

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