Global well‐posedness for the stochastic non‐Newtonian fluid equations and convergence to the Navier‐Stokes equations

Abstract

We establish the existence of global pathwise solutions for the stochastic non‐Newtonian incompressible fluid equations in two space dimensions. Moreover, we show that said solutions converge in probability to solutions of the stochastic Navier‐Stokes equations in the appropriate limit. Our approach is based on Galerkin approximations and the theory of martingale solutions.

Document Details

Document Type
Pub Defense Publication
Publication Date
Oct 11, 2020
Source ID
10.1002/mma.6827

Entities

People

  • Marco Henandez
  • Phuong Nguyen

Organizations

  • Indiana University
  • National Science Foundation
  • Office of Naval Research
  • Sam Houston State University
  • Texas Tech University

Tags

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Mechanics and Fluid Dynamics.
  • Mathematical Modeling and Probability Theory.

Technology Areas

  • Space