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I will deliver my talk in two sessions. The first part contains motivation and preliminaries about stochastic partial differential equations. The existence of global pathwise solutions for the stochastic non-Newtonian… Click to show full abstract
I will deliver my talk in two sessions. The first part contains motivation and preliminaries about stochastic partial differential equations. The existence of global pathwise solutions for the stochastic non-Newtonian incompressible fluid equations in space dimension 2 is established in the second session. Moreover, I will show that said solutions converge in probability to the solution of the stochastic Navier-Stokes equations in the appropriate limit. Our approach is based on Galerkin approximation and the theory of martingale solutions. http://www.math.ttu.edu/~dacao/AnalysisSeminar
Journal Title: Mathematical Methods in The Applied Sciences
Year Published: 2020
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