A nonstandard approach to the stochastic nonhomogeneous Navier-Stokes equations

Enright, Brendan Edward

Abstract

This thesis is concerned with finding weak solutions for the stochastic Nonhomogeneous Navier-Stokes Equations. The method employed is that of Nonstandard analysis, in particular Loeb space theory. In Chapter 5, a new existence result is proven, this generalises the existing results since feedback is incorporated into the equation. The method found in this work is the approach developed by Capinski and Cutland (see [CaCu 95]) to solve the homogenous case.

Citation

Enright, B. E. A nonstandard approach to the stochastic nonhomogeneous Navier-Stokes equations. (Thesis). University of Hull. https://hull-repository.worktribe.com/output/4227193

• Thesis Type: Thesis
• Deposit Date: Sep 8, 2015
• Publicly Available Date: Mar 2, 2023
• Keywords: Mathematics
• Public URL: https://hull-repository.worktribe.com/output/4227193
• Additional Information: Department of Mathematics, The University of Hull
• Award Date: Jan 1, 1999