18 citations · 55 across the 16 of their papers we have counts for
5 papers · 1 filter
On the ill-posedness of kinetic wave equations
Ioakeim Ampatzoglou, Tristan Léger
In this article we identify a sharp ill-posedness/well-posedness threshold for kinetic wave equations (KWE) derived from quasilinear Schrödinger models. We show well-posedness usin…
Derivation of the Higher Order Boltzmann Equation for Hard Spheres
Ioakeim Ampatzoglou, Nataša Pavlović, William Warner
In this paper we complete the program initiated by the first and second authors and rigorously derive a Boltzmann-type equation that incorporates higher order collisions among gas…
Global existence of strong solutions to the Inhomogeneous Kinetic Wave Equation
Ioakeim Ampatzoglou, Tristan Léger
In this paper we construct global dispersive solutions to the space inhomogeneous kinetic wave equation (KWE) which propagate moments and conserve mass, momentum and ene…
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…
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…