P. Topalov

activity

19972026

most citedSharp well-posedness results of the Benjamin-Ono equation in

H^{s} (T, R)

and qualitative properties of its solution

10 citations · 51 across the 31 of their papers we have counts for

collaborators

34 papers

math.DS2026

Integrable metrics with potentials on the Hardy space and a class of PDEs

A. Konyaev, P. Topalov

We introduce a new class of quadratic in the momenta Hamiltonians with potential on Banach spaces of infinite dimension which possess an infinite family of conserved quantities in…

math.AP2024

The viscosity limit of fluid flows with growth/decay conditions at infinity

R. McOwen, P. Topalov

We prove that the Navier-Stokes equation is well-posed in function spaces on $R^{d}$ , $d \geq 2$ , that contain vector fields of order $O (∣ x ∣^{κ})$ as $∣ x ∣ \to \infty$ with $κ < 1/2$ …

math.AP2024

Spatial decay/asymptotics in the Navier-Stokes equation

Peter Topalov

We discuss the appearance of spatial asymptotic expansions of solutions of the Navier-Stokes equation on $R^{n}$ . In particular, we prove that the Navier-Stokes equation is…

math.DS2024

Elliptic non-degeneracy and spectral rigidity of classical billiards

Georgi Popov, Peter Topalov

In this paper we show that the billiard ball map of the Liouville billiard tables of classical type on the ellipsoid is non-degenerate at the elliptic fixed point. As a corollary w…

math.AP2022

Spatial asymptotic expansions in the Navier-Stokes equation

R. McOwen, P. Topalov

We prove that the Navier-Stokes equation for a viscous incompressible fluid in $R^{d}$ is locally well-posed in spaces of functions allowing spatial asymptotic expansions wi…

math.AP2022★ 3 cited

Spatially quasi-periodic solutions of the Euler equation

Xu Sun, Peter Topalov

We develop a framework for studying quasi-periodic maps and diffeomorphisms on $R^{n}$ . As an application, we prove that the Euler equation is locally well posed in a space…