Entropy production for the Landau equation with Maxwell molecules is non-increasing after a finite time under moment and temperature-distribution conditions, partially resolving a 1966 conjecture.
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Empirical measures from Kac's particle system converge to the Boltzmann equation solution for very soft potentials, proving propagation of chaos for all kernel classes.
Quantitative propagation of chaos holds for particle systems with bounded drift kernels and multiplicative noise via an extension of the Jabin-Wang relative entropy framework using dynamic combinatorial analysis.
citing papers explorer
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On the monotonicity of the entropy production in the Landau-Maxwell equation
Entropy production for the Landau equation with Maxwell molecules is non-increasing after a finite time under moment and temperature-distribution conditions, partially resolving a 1966 conjecture.
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Propagation of chaos for the Boltzmann equation with very soft potentials
Empirical measures from Kac's particle system converge to the Boltzmann equation solution for very soft potentials, proving propagation of chaos for all kernel classes.
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Quantitative propagation of chaos for particle systems with bounded kernels and multiplicative noise
Quantitative propagation of chaos holds for particle systems with bounded drift kernels and multiplicative noise via an extension of the Jabin-Wang relative entropy framework using dynamic combinatorial analysis.