Dmitry V. Treschev

collaborators

3 papers

math.DS2026

Combinatorics of Hamiltonian Normal Forms

Dmitry Treschev

We discuss algebraic and combinatorial aspects of the Hamiltonian normal form theory. The main objective is to describe the normal form near a singular point purely in terms of the…

math.DS2025

Another billiard problem

Sergey Bolotin, Dmitry Treschev

Let $(M, g)$ be a Riemannian manifold, $I^c ◯ \subset M$ a domain with boundary $I^$ , and $I ¨ $ a smooth function such that $I ¨ ∣_{I^} c ◯ > 0$ , $\ph|_Î= 0$, and $\nabla I ¨ ∣_{I^} \neq = 0$ . We study t…

math.AP2025

On the problem of stability of viscous shocks

Sergey Bolotin, Dmitry Treschev

We consider the problem of spectral stability of traveling wave solutions $u = I^^{3} (x - W t)$ for a system of viscous conservation laws $\partial_{t} u + \partial_{x} F (u) = \partial_{x}^{2} u$ .…