Continuum mechanics of media with inner structures

Abstract: We propose a geometrical approach to the mechanics of continuous media equipped with inner structures and give the basic equations of their motion: the mass conservation law, the Navier-Stokes equation and the energy conservation law.

This is a joint work with Anna Duyunova and Valentin Lychagin.

mathematical physicsanalysis of PDEsdifferential geometry

Audience: researchers in the topic

( paper | slides | video )

Geometry of differential equations seminar