53 citations · 119 across the 13 of their papers we have counts for
15 papers
Unidirectional Entropic Solutions of the Pressureless Euler Alignment System
Joshua O. Adeleke, Trevor M. Leslie
We develop a global wellposedness theory for weak solutions of the pressureless Euler Alignment system with measure-valued density , bounded and unidirectional velocity $\mathbf…
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…
Finite- and Infinite-Time Cluster Formation for Alignment Dynamics on the Real Line
Trevor M. Leslie, Changhui Tan
We show that the locations where finite- and infinite-time clustering occurs for the 1D Euler-alignment system can be determined using only the initial data. Our present work provi…
Sticky particle Cucker-Smale dynamics and the entropic selection principle for the 1D Euler-alignment system
Trevor M. Leslie, Changhui Tan
We develop a global wellposedness theory for weak solutions to the 1D Euler-alignment system with measure-valued density, bounded velocity, and locally integrable communication pro…