On the well-posedness of the stochastic Allen-Cahn equation in two dimensions

DOI10.1016/j.jcp.2011.12.002zbMath1242.65013arXiv1104.0720OpenAlexW2156981409MaRDI QIDQ419611

Marc D. Ryser, Nilima Nigam, Paul F. Tupper

Publication date: 18 May 2012

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

Full work available at URL: https://arxiv.org/abs/1104.0720

zbMATH Keywords

numerical experimentswell-posednesswhite noiseAllen-Cahn equationnonlinear stochastic partial differential equations of parabolic type

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)

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