The leading-order asymptotic behavior of the two-point correlation function for a weakly interacting Fermi gas at kinetic times is exactly the collisional frequency of the equilibrium Boltzmann-Nordheim collision operator.
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New entropy structures from one-sided balance conditions on interaction weights yield global weak L1_loc solutions to 3-wave kinetic equations and prove their local relaxation to zero equilibrium.
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On the asymptotic behavior at the kinetic time of a weakly interacting Fermi gas
The leading-order asymptotic behavior of the two-point correlation function for a weakly interacting Fermi gas at kinetic times is exactly the collisional frequency of the equilibrium Boltzmann-Nordheim collision operator.
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Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations
New entropy structures from one-sided balance conditions on interaction weights yield global weak L1_loc solutions to 3-wave kinetic equations and prove their local relaxation to zero equilibrium.