5 papers
Finite time implosions of the multidimensional compressible Euler equations with a finite far-field cutoff
Jack Luong, Reed Spitzer, Scott D. Ramsey +2
We study the problem of finite time singularities in the isentropic compressible Euler equations in multiple dimensions with radial symmetry. Our initial data consists of the radia…
Self-similar imploding solutions of the 1D compressible Euler equations with a far field cutoff
Jack Luong, Scott Ramsey, Andrea L. Bertozzi +1
Imploding solutions to the radially symmetric, isentropic, compressible Euler equations have been well-studied, inspired by the work of Guderley. However, these smooth imploding so…
Macroscopic Traffic Flow Network Modeling For Wildfire Evacuation: A Game-Theoretic Junction Optimization Approach with Application to Lahaina Fire
Annie Lu, Hong Kiat Tan, Alexander Xue +2
The 2023 Lahaina wildfire killed 102 people on a peninsula served by a single two-lane highway, making exit lane capacity the binding constraint on evacuation time. We model the ev…
Fluid dynamics alters liquid-liquid phase separation in confined aqueous two-phase systems
Eric W. Hester, Sean P. Carney, Vishwesh Shah +4
Liquid-liquid phase separation is key to understanding aqueous two-phase systems (ATPS) arising throughout cell biology, medical science, and the pharmaceutical industry. Controlli…
A positivity-preserving numerical method for a thin liquid film on a vertical cylindrical fiber
Bohyun Kim, Hangjie Ji, Andrea L. Bertozzi +2
When a thin liquid film flows down on a vertical fiber, one can observe the complex and captivating interfacial dynamics of an unsteady flow. Such dynamics are applicable in variou…