Ph.D. Thesis Defense: Measure-valued solutions for stochastic fluid flow equations
Mr. Utsab Sarkar
Speaker |
Mr. Utsab Sarkar
|
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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.