This paper writes the three-wave and four-wave kinetic equations as GENERIC thermodynamic systems and formally derives a Landau-type small-angle limit for the four-wave equation, with a GENERIC structure for the limiting system.
On a new class of weak solutions to the spatially homo- geneous Boltzmann and Landau equations
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GENERIC formulation and small-angle limit for Kinetic wave equations
This paper writes the three-wave and four-wave kinetic equations as GENERIC thermodynamic systems and formally derives a Landau-type small-angle limit for the four-wave equation, with a GENERIC structure for the limiting system.