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 - http://www.scopus.com/inward/record.url?scp=84962376506&partnerID=8YFLogxK

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: Theory Methods & Applications

JF - Nonlinear Analysis: Theory Methods & Applications

ER -