95 citations · 150 across the 16 of their papers we have counts for
16 papers
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…
Nonlinear Constraints on Relativistic Fluids Far From Equilibrium
Fabio S. Bemfica, Marcelo M. Disconzi, Vu Hoang +2
New constraints are found that must necessarily hold for Israel-Stewart-like theories of fluid dynamics to be causal far away from equilibrium. Conditions that are sufficient to en…
Nonlinear Dynamic Systems Parameterization Using Interval-Based Global Optimization: Computing Lipschitz Constants and Beyond
Sebastian A. Nugroho, Ahmad F. Taha, and Vu Hoang
Numerous state-feedback and observer designs for nonlinear dynamic systems (NDS) have been developed in the past three decades. These designs assume that NDS nonlinearities satisfy…
New Insights on One-Sided Lipschitz and Quadratically Inner-Bounded Nonlinear Dynamic Systems
Sebastian A. Nugroho, Vu Hoang, Maria Radosz +2
Nonlinear dynamic systems can be classified into various classes depending on the modeled nonlinearity. These classes include Lipschitz, bounded Jacobian, one-sided Lipschitz (OSL)…
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…
Radiation reaction in higher-order electrodynamics
Alan Baza, Aaron DeLeon, Angel Harb +2
This paper considers the relativistic motion of charged particles coupled with electromagnetic fields in the higher-order theory proposed by Bopp, Landé--Thomas, and Podolsky. We r…
Gap Localization of TE-Modes by arbitrarily weak defects - multiband case
B. M. Brown, V. Hoang, M. Plum +2
This paper considers the propagation of TE-modes in photonic crystal waveguides. The waveguide is created by introducing a linear defect into a periodic background medium. Both the…
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…
Gap localization of TE-Modes by arbitrarily weak defects
Malcolm Brown, Vu Hoang, Michael Plum +2
This paper considers the propagation of TE-modes in photonic crystal waveguides. The waveguide is created by introducing a linear defect into a periodic background medium. Both the…
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…
On the spectrum of waveguides in planar photonic bandgap structures
Malcolm Brown, Vu Hoang, Michael Plum +1
We study a Helmholtz-type spectral problem related to the propagation of electromagnetic waves in photonic crystal waveguides. The waveguide is created by introducing a linear defe…
Absence of bound states for waveguides in 2D periodic structures
Vu Hoang, Maria Radosz
We study a Helmholtz-type spectral problem in a two-dimensional medium consisting of a fully periodic background structure and a perturbation in form of a line defect. The defect i…