Razafimandimby, Paul Andre2017-07-262017-09Razafimandimby, P.A. 2017, 'Grade-two fluids on non-smooth domain driven by multiplicative noise : existence, uniqueness and regularity', Journal of Differential Equations, vol. 263, no. 5, pp. 3027-3089.0022-0396 (online)10.1016/j.jde.2017.04.022http://hdl.handle.net/2263/61447The author presented a lecture on the subject of this paper at the Workshop on Numerics for Stochastic Partial Differential Equations and their Applications held at the Johann Radon Institute for Computational and Applied Mathematics (RICAM), Linz, Austria during the period 04–16 December 2016.Please read abstract in the article.en© 2017 Elsevier Inc. All rights reserved. All rights reserved. Notice : this is the author’s version of a work that was accepted for publication in Journal of Differential Equations. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. A definitive version was subsequently published in Journal of Differential Equations, vol. 263, no. 5, pp. 3027-3089, 2017. doi : 10.1016/j.jde.2017.04.022.Grade two fluidsStochastic transport equationsTime discretizationSpace and time regularityLagrangian averaged Euler equationsMartingale solutionGrade-two fluids on non-smooth domain driven by multiplicative noise : existence, uniqueness and regularityPostprint Article