Title: Asymptotic behavior of stochastic Navier-Stokes and Schrodinger equations
Speaker: Parisa Fatheddin (Ohio State University)
Abstract: We consider the asymptotic limits of two dimensional incompressible stochastic Navier Stokes equation and one dimensional stochastic Schrodinger equation. These limits include large and moderate deviations, Central limit theorem, and the law of the iterated logarithm. For large and moderate deviations, we will discuss both the Azencott method and the weak convergence approach and show how they can be used to derive the Strassen’s compact law of the iterated logarithm. The exit problem will also be given as an application. This is joint work with Zhaoyang Qiu.
At the end of the talk I will also briefly talk about my recently published book: Teaching and Research in Mathematics: A Guide with Applications to Industry.