95 citations · 146 across the 13 of their papers we have counts for
7 papers · 1 filter
Breakdown of smooth solutions to the Müller-Israel-Stewart equations of relativistic viscous fluids
Marcelo M. Disconzi, Vu Hoang, Maria Radosz
We consider equations of Müller-Israel-Stewart type describing a relativistic viscous fluid with bulk viscosity in four-dimensional Minkowski space. We show that there exists a cla…
A Note on Singularity Formation for a Nonlocal Transport Equation
Vu Hoang, Maria Radosz
The -patch model is used to study aspects of fluid equations. We show that solutions of this model form singularities in finite time and give a characterization of the solution…
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.…
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…
One-dimensional model equations for hyperbolic fluid flow
Tam Do, Vu Hoang, Maria Radosz +1
In this paper we study the singularity formation for two nonlocal 1D active scalar equations, focusing on the hyperbolic flow scenario. Those 1D equations can be regarded as simpli…
No Local Double Exponential Gradient Growth in Hyperbolic Flow for the Euler equation
Vu Hoang, Maria Radosz
We consider smooth, double-odd solutions of the two-dimensional Euler equation in with periodic boundary conditions. It is tempting to think that the symmetry in the fl…