P. Topalov

collaborators

3 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 $O (∣ x ∣^{I^} º)$ as $∣ x ∣ \to \infty$ with $Îº<1/…

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…