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Ph.D. Thesis Defense: Measure-valued solutions for stochastic fluid flow equations

Mr. Utsab Sarkar
Speaker
Mr. Utsab Sarkar
When Mar 28, 2023
from 11:00 AM to 12:00 PM
Where Auditorium (Ground floor 006)
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Abstract:  We will discuss a novel framework of dissipative measure-valued martingale solutions for compressible Euler and Navier-Stokes equations driven by a multiplicative noise. We derive the relative energy inequalities for the stochastic compressible Euler and Navier--Stokes systems. As a corollary, we prove the pathwise weak-strong uniqueness property for the underlying systems. Moreover, using the relative energy inequality, we investigate the low Mach limit (incompressible limit) of the stochastic compressible Euler system. 

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