<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Chemetov, Nikolai</style></author><author><style face="normal" font="default" size="100%">Cipriano, Fernanda</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Optimal control for two-dimensional stochastic second grade fluids</style></title><secondary-title><style face="normal" font="default" size="100%">STOCHASTIC PROCESSES AND THEIR APPLICATIONS</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">Backward stochastic partial differential equations</style></keyword><keyword><style  face="normal" font="default" size="100%">Necessary optimality condition}</style></keyword><keyword><style  face="normal" font="default" size="100%">Stochastic optimal control</style></keyword><keyword><style  face="normal" font="default" size="100%">{Stochastic second grade fluids</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">{AUG}</style></date></pub-dates></dates><number><style face="normal" font="default" size="100%">{8}</style></number><publisher><style face="normal" font="default" size="100%">{ELSEVIER SCIENCE BV}</style></publisher><pub-location><style face="normal" font="default" size="100%">{PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS}</style></pub-location><volume><style face="normal" font="default" size="100%">128</style></volume><pages><style face="normal" font="default" size="100%">2710-2749</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;{This article deals with a stochastic control problem for certain fluids of non-Newtonian type. More precisely, the state equation is given by the two-dimensional stochastic second grade fluids perturbed by a multiplicative white noise. The control acts through an external stochastic force and we search for a control that minimizes a cost functional. We show that the Gateaux derivative of the control to state map is a stochastic process being the unique solution of the stochastic linearized state equation. The well-posedness of the corresponding stochastic backward adjoint equation is also established, allowing to derive the first order optimality condition. (C) 2017 Elsevier B.V. All rights reserved.}&lt;/p&gt;
</style></abstract><work-type><style face="normal" font="default" size="100%">{Article}</style></work-type><notes><style face="normal" font="default" size="100%">&lt;p&gt;n/a&lt;/p&gt;
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