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Unidirectional Entropic Solutions of the Pressureless Euler Alignment System

Adeleke, Joshua O. et al.
arXiv (All) · Papers
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35q35analysis-of-pdes
We develop a global wellposedness theory for weak solutions of the pressureless Euler Alignment system with measure-valued density $ρ$, bounded and unidirectional velocity $\mathbf{u} = (u,0, \ldots, 0)$, and a communication protocol $ϕ$ that may be bounded or weakly singular. This appears to be the
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