Rigorous derivation of the 4-wave kinetic equation for the full beta-FPUT system in the joint limit N to infinity and beta to zero under weakly nonlinear scalings, reaching times up to the kinetic timescale to the power 2/3, by directly incorporating non-resonant terms in a diagrammatic expansion.
Zur kinetischen Theorie der Wärmeleitung in Kristallen
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Existence of solutions is shown for the third operator of the Connaughton-Newell model when the interaction kernel is constant and the source term is well-behaved.
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Rigorous Derivation of the Wave Kinetic Equation for full $\beta$-FPUT System
Rigorous derivation of the 4-wave kinetic equation for the full beta-FPUT system in the joint limit N to infinity and beta to zero under weakly nonlinear scalings, reaching times up to the kinetic timescale to the power 2/3, by directly incorporating non-resonant terms in a diagrammatic expansion.
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Existence of Solutions of the third term of the Connaughton-Newell Model with a source term
Existence of solutions is shown for the third operator of the Connaughton-Newell model when the interaction kernel is constant and the source term is well-behaved.