4 papers
Unidirectional Entropic Solutions of the Pressureless Euler Alignment System
Joshua O. Adeleke, Trevor M. Leslie
We study the pressureless Euler Alignment system with unidirectional velocity (u,0,...,0). By re-casting the system as a family of coupled scalar balance laws, one for each horizon…
Entropic solutions to the 1D pressureless Euler system with nonlocal interactions
Trevor M. Leslie, Changhui Tan
We study weak solutions of the one-dimensional pressureless Euler-Poisson-alignment system. When smooth solutions develop singularities, distributional weak solutions are not uniqu…
Topological and Purely Topological Alignment Dynamics
Trevor M. Leslie, Jan Peszek
We study the Euler Alignment system of collective behavior, equipped with `topological' interaction protocols, which were introduced to the mathematical literature by Shvydkoy and…
Separable motions for self-gravitating hyperelastic matter
Juhi Jang, Trevor M. Leslie
In this paper, we prove the existence of separable solutions to the equations of motion for self-gravitating hyperelastic matter, under an appropriate class of constitutive assumpt…