3 papers
math.AP2025
Inhomogeneous six-wave kinetic equation in exponentially weighted spaces
NataÅ¡a PavloviÄ, Maja TaskoviÄ, 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-ph2024
Exponentially-tailed regularity and time asymptotic for the homogeneous Boltzmann equation
Ricardo Alonso, Irene M. Gamba, Maja TaskoviÄ
We present in this document the Lebesgue and Sobolev propagation of exponential tails for solutions of the homogeneous Boltzmann equation for hard and Maxwell interactions. In addi…
math.AP2024
Inhomogeneous wave kinetic equation and its hierarchy in polynomially weighted spaces
Ioakeim Ampatzoglou, Joseph K. Miller, NataÅ¡a PavloviÄ +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…