The Allen-Cahn equation with generic initial datum

DOI10.1007/s00440-023-01198-5zbMath1521.60027arXiv2201.08426OpenAlexW4362717973MaRDI QIDQ6158593

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Publication date: 20 June 2023

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.08426

zbMATH Keywords

mean curvature flowwhite noisecoarseningAllen-Cahn equation

Mathematics Subject Classification ID

White noise theory (60H40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Flows related to mean curvature (53E10)

Related Items (1)

A stochastic Allen-Cahn-Navier-Stokes system with singular potential

Cites Work

• Percolation of random nodal lines
• Motion of level sets by mean curvature. I
• The heat equation shrinks embedded plane curves to round points
• A new approach to front propagation problems: theory and applications
• Upper bounds on coarsening rates
• Generalized motion of noncompact hypersurfaces with velocity having arbitrary growth on the curvature tensor
• Existence of an unbounded nodal hypersurface for smooth Gaussian fields in dimension \(d\geq 3\)
• Random Fields and Geometry

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