3 papers
math.OC2020
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)…
math.AP2019
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…
math.SP2019
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…