Sticky particle Cucker–Smale dynamics and the entropic selection principle for the 1D Euler-alignment system
Sticky particle Cucker–Smale dynamics and the entropic selection principle for the 1D Euler-alignment system
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 protocol. A satisfactory understanding of the low-regularity theory is an issue of pressing interest, as smooth solutions may lose regularity in finite time. However, no such theory …