Local well-posedness of the topological Euler alignment models of collective behavior
Local well-posedness of the topological Euler alignment models of collective behavior
In this paper we address the problem of well-posedness of multi-dimensional topological Euler-alignment models introduced by Roman and Tadmor (2018 arXiv:1806.01371). The main result demonstrates local existence and uniqueness of classical solutions in class (ρ, u) ∈ Hm+α × Hm+1 on the periodic domain , where 0 < α < …