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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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
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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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.