2 citations · 2 across the 24 of their papers we have counts for
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The Lagrange-D'Alembert Principle in Banach Space
Oleg Zubelevich
The Lagrange-D'Alembert Principle is one of the fundamental tools of classical mechanics. We generalize this principle to mechanics-like ODE in Banach spaces. As an application we…
Lagrangian Systems with non-smooth constraints
Andrey Volkov, Oleg Zubelevich
The Lagrange-d'Alembert equations with constraints belonging to have been considered. A concept of weak solutions to these equations has been built. Global existence…
On Collisions in Nonholonomic systems
Dmitry Treschev, Oleg Zubelevich
We consider nonholonomic systems with collisions and propose a concept of weak solutions to Lagrange-d'Alembert equations. In the light of this concept we describe dynamics of the…
On analytic solutions to NSE in 3-D torus
Oleg Zubelevich
We consider NSE with -initial conditions on the 3-dimensional torus and prove that there exists a solution that is analytic in all variables.
On analyticity of incompressible viscid fluid flow in n-dimensional torus
O. Zubelevich
We prove that the evolutionary Navier-Stokes equation in n-D torus with initial data in the class of distributions has an unique solution (local in t) that is analytic by all varia…