Sergey Bolotin

collaborators

2 papers

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 $\partial_{t} u + \partial_{x} F (u) = \partial_{x}^{2} u$ .…