Solving the Cahn-Hilliard equation with additive noise
Probability
2024-09-11 v2 Analysis of PDEs
Authors:
Joe Ghafari
Abstract
We prove local well-posedness of the Cahn-Hilliard equation with additive noise. Our method relies on paracontrolled calculus and the Da Prato-Debussche trick.
Cite
@article{arxiv.2407.20293,
title = {Solving the Cahn-Hilliard equation with additive noise},
author = {Joe Ghafari},
journal= {arXiv preprint arXiv:2407.20293},
year = {2024}
}
Related papers
View all related →
Probability · Mathematics
A nonlocal stochastic Cahn-Hilliard equation
Federico Cornalba
2016-03-08
Probability · Mathematics
Wellposedness and regularity estimate for stochastic Cahn--Hilliard equation with unbounded noise diffusion
Jianbo Cui, Jialin Hong
2020-06-23
Numerical Analysis · Mathematics
Numerical analysis of a full discretization for stochastic Cahn--Hilliard equation driven by additive noise
Jianbo Cui, Jialin Hong, Liying Sun
2020-06-23
Analysis of PDEs · Mathematics
The stochastic nonlocal Cahn-Hilliard equation with regular potential and multiplicative noise
Andrea Di Primio, Christoph Hurm
2026-04-29
Analysis of PDEs · Mathematics
Well-posedness for Hardy-H\'enon parabolic equations with fractional Brownian noise
Mohamed Majdoub, Ezzedine Mliki
2020-06-17
Numerical Analysis · Mathematics
Strong approximation of the time-fractional Cahn--Hilliard equation driven by a fractionally integrated additive noise
Mariam Al-Maskari, Samir Karaa
2024-02-07
Numerical Analysis · Mathematics
Strong convergence of a fully discrete finite element approximation of the stochastic Cahn-Hilliard equation
Daisuke Furihata, Mihály Kovács, Stig Larsson, Fredrik Lindgren
2018-05-04
Numerical Analysis · Mathematics
Robust a posteriori error analysis of the stochastic Cahn-Hilliard equation with rough noise
Lubomir Banas, Jean Daniel Mukam
2025-12-18
Numerical Analysis · Mathematics
A scalar auxiliary variable-based semi-implicit scheme for stochastic Cahn--Hilliard equation
Jianbo Cui, Jie Shen, Derui Sheng, Yahong Xiang
2026-03-05
Probability · Mathematics
Conservative stochastic 2-dimensional Cahn-Hilliard equation
Michael Rockner, Huanyu Yang, Rongchan Zhu
2020-05-08
Numerical Analysis · Mathematics
Finite Element Approximations for a linear Cahn-Hilliard-Cook equation driven by the space derivative of a space-time white noise
Georgios T. Kossioris, Georgios E. Zouraris
2012-05-22
Numerical Analysis · Mathematics
Fully Discrete Mixed Finite Element Methods for the Stochastic Cahn-Hilliard Equation with Gradient-type Multiplicative Noise
Xiaobing Feng, Yukun Li, Yi Zhang
2019-03-14
Numerical Analysis · Mathematics
Absolute continuity and numerical approximation of stochastic Cahn--Hilliard equation with unbounded noise diffusion
Jianbo Cui, Jialin Hong
2020-06-22
Numerical Analysis · Mathematics
Pathwise existence of solutions to the Implicit Euler method for the stochastic Cahn-Hilliard Equation
Daisuke Furihata, Fredrik Lindgren, Shuji Yoshikawa
2016-01-29
Numerical Analysis · Mathematics
Weak convergence of the backward Euler method for stochastic Cahn--Hilliard equation with additive noise
Meng Cai, Siqing Gan, Yaozhong Hu
2023-03-21
Numerical Analysis · Mathematics
Strong convergence rates of an explicit scheme for stochastic Cahn--Hilliard equation with additive noise
Meng Cai, Ruisheng Qi, Xiaojie Wang
2023-08-31
Probability · Mathematics
Existence and regularity of solution for a Stochastic Cahn-Hilliard/Allen-Cahn equation with unbounded noise diffusion
Dimitra C. Antonopoulou, Geogia Karali, Annie Millet
2022-10-13
Numerical Analysis · Mathematics
A Hybrid High-Order method for the Cahn-Hilliard problem in mixed form
Florent Chave, Daniele A. Di Pietro, Fabien Marche, Franck Pigeonneau
2016-07-01
Analysis of PDEs · Mathematics
Global well-posedness of the 3D Cahn-Hilliard equations
Zhenbang Li, Caifeng Liu
2019-04-15
Numerical Analysis · Mathematics
Density convergence of a fully discrete finite difference method for stochastic Cahn--Hilliard equation
Jialin Hong, Diancong Jin, Derui Sheng
2026-03-06
Analysis of PDEs · Mathematics
Paracontrolled approach to the three-dimensional stochastic nonlinear wave equation with quadratic nonlinearity
Massimiliano Gubinelli, Herbert Koch, Tadahiro Oh
2021-06-23
Numerical Analysis · Mathematics
Double stabilizations and convergence analysis of a second-order linear numerical scheme for the nonlocal Cahn-Hilliard equation
Xiao Li, Zhonghua Qiao, Cheng Wang
2022-09-09
Statistical Mechanics · Physics
Numerical Study of the Cahn-Hilliard Equation in One, Two and Three Dimensions
E. V. L. de Mello, Otton Teixeira da Silveira Filho
2009-11-10
Numerical Analysis · Mathematics
An IMEX Finite Element Method for a linearized Cahn-Hilliard-Cook equation driven by the space derivative of a space-time white noise
Georgios E. Zouraris
2017-07-10
Numerical Analysis · Mathematics
Linear and Nonlinear Parareal Methods for the Cahn-Hilliard Equation
Gobinda Garai, Bankim C. Mandal
2023-04-28