Some preliminary observations on a defect Navier–Stokes system

Amit Acharya; Roger Fosdick

doi:10.1016/j.crme.2019.09.004

Some preliminary observations on a defect Navier–Stokes system

Amit Acharya ¹ ; Roger Fosdick ²

¹ Department of Civil & Environmental Engineering, and Center for Nonlinear Analysis, Carnegie Mellon University, Pittsburgh, PA 15213, USA
² Department of Aerospace Engineering & Mechanics, University of Minnesota, Minneapolis, MN 55455, USA

Comptes Rendus. Mécanique, Volume 347 (2019) no. 10, pp. 677-684.

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.

Received: 2019-06-24
Accepted: 2019-09-20
Published online: 2019-10-01

DOI: 10.1016/j.crme.2019.09.004

Keywords: Incompatibility, Velocity dislocation, Velocity disclinations, Defects, Navier–Stokes

Author's affiliations:

Amit Acharya ¹; Roger Fosdick ²

¹ Department of Civil & Environmental Engineering, and Center for Nonlinear Analysis, Carnegie Mellon University, Pittsburgh, PA 15213, USA
² Department of Aerospace Engineering & Mechanics, University of Minnesota, Minneapolis, MN 55455, USA

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Amit Acharya; Roger Fosdick. Some preliminary observations on a defect Navier–Stokes system. Comptes Rendus. Mécanique, Volume 347 (2019) no. 10, pp. 677-684. doi : 10.1016/j.crme.2019.09.004. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2019.09.004/

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