Global solutions of the one-dimensional compressible Euler equations with nonlocal interactions via the inviscid limit

We are concerned with the global existence of finite-energy entropy solutions of the one-dimensional compressible Euler equations with (possibly) damping, alignment forces, and nonlocal interactions: Newtonian repulsion and quadratic confinement. Both the polytropic gas law and the general gas law a...

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Bibliographic Details
Main Authors: Carrillo, JA, Chen, G-QG, Yuan, D, Zatorska, E
Format: Journal article
Language:English
Published: Springer Nature 2025