3 papers
math.AP2025
Inhomogeneous six-wave kinetic equation in exponentially weighted spaces
Nataša Pavlović, Maja Tasković, Luisa Velasco
Six-wave interactions are used for modeling various physical systems, including in optical wave turbulence [16] (where a cascade of photons displays this kind of behavior) and in q…
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.AP2018
Entropy dissipation estimates for the relativistic Landau equation, and applications
Robert M. Strain, Maja Tasković
In this paper we study the Cauchy problem for the spatially homogeneous relativistic Landau equation with Coulomb interactions. Despite it's physical importance, this equation has…