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math.AP2024
Inhomogeneous wave kinetic equation and its hierarchy in polynomially weighted spaces
Ioakeim Ampatzoglou, Joseph K. Miller, Nataša Pavlović +1
Inspired by ideas stemming from the analysis of the Boltzmann equation, in this paper we expand well-posedness theory of the spatially inhomogeneous 4-wave kinetic equation, and al…
math.AP2024★ 1 cited
On the global in time existence and uniqueness of solutions to the Boltzmann hierarchy
Ioakeim Ampatzoglou, Joseph K. Miller, Nataša Pavlović +1
In this paper we establish the global in time existence and uniqueness of solutions to the Boltzmann hierarchy, a hierarchy of equations instrumental for the rigorous derivation of…