Tychkov S. The quotient of the Navier-Stokes system on a space curve (abstract)
Speaker: Sergey Tychkov
Title: The quotient of the Navier-Stokes system on a space curve
We consider flows of a viscid medium on a space curve in a constant gravitational field (the Navier-Stokes system). Using differential invariants for this system, we obtain its quotient. The solutions of the quotient equation that are constant along characteristic vector field provide some solutions of the Navier-Stokes system.
This is a joint work with V. Lychagin and A. Duyunova.
Event: Diffieties, Cohomological Physics, and Other Animals, 13-17 December 2021, Moscow.
Alexandre Vinogradov Memorial Conference.