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19972026
most citedSharp well-posedness results of the Benjamin-Ono equation in and qualitative properties of its solution

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

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Showing 2022 · math.APShow all

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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 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 . As an application, we prove that the Euler equation is locally well posed in a space…