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Applied Mathematics Colloquium: Dr. Animikh Biswas

UMBC

Location

Mathematics/Psychology : 103

Date & Time

October 6, 2017, 2:00 pm3:00 pm

Description

Title: A Continuous Data Assimilation Algorithm with Applications to Statistical Solutions

Speaker: Animikh Biswas, UMBC

Abstract: Based on a down-scaling data assimilation algorithm, which employs a nudging term on the coarse scales, we construct a determining map of coarse scale trajectories and investigate its properties. This map is then used to develop a data assimilation scheme for statistical solutions of the two-dimensional Navier-Stokes equations, where the coarse scale statistics of the system is obtained from measurements. As a corollary, we deduce that the statistical solutions for the Navier-Stokes equations are determined by their coarse mesh spatial distributions. This is based on a joint work with C. Foias, C. Mondaini and E. S. Titi.