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 -