For a broad class of 3-wave kinetic equations, a new one-sided entropy mechanism yields global L^1_loc weak solutions and forces local relaxation to zero as t tends to infinity.
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A fast Fourier spectral method solves the wave kinetic equation with reduced cost O(M N^d log N) by converting the operator to a spherical integral and exploiting mass-momentum conservation for convolution structure.
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Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations
For a broad class of 3-wave kinetic equations, a new one-sided entropy mechanism yields global L^1_loc weak solutions and forces local relaxation to zero as t tends to infinity.
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A fast Fourier spectral method for wave kinetic equation
A fast Fourier spectral method solves the wave kinetic equation with reduced cost O(M N^d log N) by converting the operator to a spherical integral and exploiting mass-momentum conservation for convolution structure.