☆ 4.3 Article

Wellposedness and regularity estimates for stochastic Cahn-Hilliard equation with unbounded noise diffusion

STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS (2023)

Related references

Note: Only part of the references are listed.

Article Mathematics, Applied

STRONG CONVERGENCE OF FULL DISCRETIZATION FOR STOCHASTIC CAHN-HILLIARD EQUATION DRIVEN BY ADDITIVE NOISE

Jianbo Cui et al.

Summary: In this article, the stochastic Cahn-Hilliard equation is discretized using the spectral Galerkin method in space and a temporally accelerated implicit Euler method. The proposed numerical method is proven to have strong convergence with a sharp convergence rate in a negative Sobolev space. By utilizing semigroup theory and interpolation inequality, the spatial optimal convergence rate and temporal superconvergence rate of the numerical method in the strong sense are deduced.

SIAM JOURNAL ON NUMERICAL ANALYSIS (2021)

Add to Collection

Article Mathematics

Absolute continuity and numerical approximation of stochastic Cahn-Hilliard equation with unbounded noise diffusion

Jianbo Cui et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2020)

Add to Collection

Article Mathematics

Strong convergence rate of splitting schemes for stochastic nonlinear Schrodinger equations

Jianbo Cui et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2019)

Add to Collection

Article Mathematics

Strong convergence rate of finite difference approximations for stochastic cubic Schrodinger equations

Jianbo Cui et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2017)

Add to Collection

Article Mathematics

Existence and regularity of solution for a stochastic Cahn-Hilliard/Allen-Cahn equation with unbounded noise diffusion

Dimitra C. Antonopoulou et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2016)

Add to Collection

Article Mathematics, Applied

FRONT MOTION IN THE ONE-DIMENSIONAL STOCHASTIC CAHN-HILLIARD EQUATION

D. C. Antonopoulou et al.

SIAM JOURNAL ON MATHEMATICAL ANALYSIS (2012)

Add to Collection

Article Mathematics, Applied

STOCHASTIC CAHN-HILLIARD EQUATION WITH DOUBLE SINGULAR NONLINEARITIES AND TWO REFLECTIONS

Arnaud Debussche et al.

SIAM JOURNAL ON MATHEMATICAL ANALYSIS (2011)

Add to Collection

Article Mathematics

Stochastic evolution equations in UMD Banach spaces

J. M. A. M. van Neerven et al.

JOURNAL OF FUNCTIONAL ANALYSIS (2008)

Add to Collection

Article Statistics & Probability

Stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term

S Cerrai

PROBABILITY THEORY AND RELATED FIELDS (2003)

Add to Collection

Article Statistics & Probability

Cahn-Hilliard stochastic equation: existence of the solution and of its density

C Cardon-Weber

BERNOULLI (2001)

Add to Collection

© Peeref 2019-2024. All rights reserved.