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math.AP2021
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…
math.AP2021★ 53 cited
Bounds for the Derivative Nonlinear Schrödinger Equation
Hajer Bahouri, Trevor M. Leslie, Galina Perelman
We study the derivative nonlinear Schrödinger equation on the real line and obtain global-in-time bounds on high order Sobolev norms.