Publication 19-CNA-014

Some preliminary observations on a defect Navier-Stokes system

Amit Acharya
Dept. of Civil & Environmental Engineering
Center for Nonlinear Analysis
Carnegie Mellon University
Pittsburgh, PA 15213
acharyaamit@cmu.edu

Roger Fosdick
Department of Aerospace Engineering & Mechanics
University of Minnesota
Minneapolis, MN 55455
fosdick@aem.umn.edu

Abstract: Some implications of the simplest accounting of defects of compatibility in the velocity field on the structure of the classical Navier-Stokes equations are explored, leading to connections between classical elasticity, the elastic theory of defects, plasticity theory, and classical fluid mechanics.

Get the paper in its entirety as  19-CNA-014.pdf

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