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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.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…