95 citations · 150 across the 16 of their papers we have counts for
4 papers · 1 filter
Singular solutions with vorticity control for a nonlocal system of evolution equations
Vu Hoang, Maria Radosz
We investigate a system of nonlocal transport equations in one spatial dimension. The system can be regarded as a model for the 3D Euler equations in the hyperbolic flow scenario.…
Quantitative bounds versus existence of weakly coupled bound states for Schrödinger type operators
Vu Hoang, Dirk Hundertmark, Johanna Richter +1
It is well-known that for usual Schroedinger operators weakly coupled bound states exist in dimensions one and two, whereas in higher dimensions the famous Cwikel-Lieb-Rozenblum bo…
Blowup with vorticity control for a 2D model of the Boussinesq equations
Vu Hoang, Betul Orcan-Ekmekci, Maria Radosz +1
We propose a system of equations with nonlocal flux in two space dimensions which is closely modeled after the 2D Boussinesq equations in a hyperbolic flow scenario. Our equations…
Cusp formation for a nonlocal evolution equation
Vu Hoang, Maria Radosz
In this paper, we introduce a nonlocal evolution equation inspired by the Córdoba-Córdoba-Fontelos nonlocal transport equation. The Córdoba-Córdoba-Fontelos equation can be regarde…