A nonlocal stochastic Cahn-Hilliard equation

Federico Cornalba

doi:10.1016/j.na.2016.03.009

A nonlocal stochastic Cahn-Hilliard equation

Federico Cornalba

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

9 Citations (SciVal)

Abstract

We consider a stochastic extension of the nonlocal convective Cahn-Hilliard equation containing an additive Wiener process noise. We first introduce a suitable analytical setting and make some mathematical and physical assumptions. We then establish, in a variational context, the existence of a weak statistical solution for this problem. Finally we prove existence and uniqueness of a strong solution.

Original language	English
Pages (from-to)	38-60
Number of pages	23
Journal	Nonlinear Analysis
Volume	140
DOIs	https://doi.org/10.1016/j.na.2016.03.009
Publication status	Published - 1 Jul 2016

Keywords

Cahn-Hilliard
Stochastic partial differential equation
Variational solution

Access to Document

10.1016/j.na.2016.03.009

http://dx.doi.org/10.1016/j.na.2016.03.009

Cite this

@article{187983d6e4d34fea9a34a71c55dc4c48,

title = "A nonlocal stochastic Cahn-Hilliard equation",

abstract = "We consider a stochastic extension of the nonlocal convective Cahn-Hilliard equation containing an additive Wiener process noise. We first introduce a suitable analytical setting and make some mathematical and physical assumptions. We then establish, in a variational context, the existence of a weak statistical solution for this problem. Finally we prove existence and uniqueness of a strong solution.",

keywords = "Cahn-Hilliard, Stochastic partial differential equation, Variational solution",

author = "Federico Cornalba",

year = "2016",

month = jul,

day = "1",

doi = "10.1016/j.na.2016.03.009",

language = "English",

volume = "140",

pages = "38--60",

journal = "Nonlinear Analysis",

issn = "0362-546X",

publisher = "Elsevier",

}

TY - JOUR

T1 - A nonlocal stochastic Cahn-Hilliard equation

AU - Cornalba, Federico

PY - 2016/7/1

Y1 - 2016/7/1

N2 - We consider a stochastic extension of the nonlocal convective Cahn-Hilliard equation containing an additive Wiener process noise. We first introduce a suitable analytical setting and make some mathematical and physical assumptions. We then establish, in a variational context, the existence of a weak statistical solution for this problem. Finally we prove existence and uniqueness of a strong solution.

AB - We consider a stochastic extension of the nonlocal convective Cahn-Hilliard equation containing an additive Wiener process noise. We first introduce a suitable analytical setting and make some mathematical and physical assumptions. We then establish, in a variational context, the existence of a weak statistical solution for this problem. Finally we prove existence and uniqueness of a strong solution.

KW - Cahn-Hilliard

KW - Stochastic partial differential equation

KW - Variational solution

UR - https://www.scopus.com/pages/publications/84962376506

UR - http://dx.doi.org/10.1016/j.na.2016.03.009

U2 - 10.1016/j.na.2016.03.009

DO - 10.1016/j.na.2016.03.009

M3 - Article

AN - SCOPUS:84962376506

SN - 0362-546X

VL - 140

SP - 38

EP - 60

JO - Nonlinear Analysis

JF - Nonlinear Analysis

ER -

A nonlocal stochastic Cahn-Hilliard equation

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this