A counterexample demonstrates that entropy production is not always monotone decreasing for the space-homogeneous Boltzmann equation with a non-standard collision kernel, disproving McKean's conjecture.
A review of mathematical topics in collisional kinetic theory.Handbook of mathematical fluid dynamics, 1:71–74
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Rigorous mean-field limit derivation for the signal-dependent Keller-Segel system from stochastic particles, achieving algebraic convergence rate and strong propagation of chaos.
NeurDE learns the equilibrium closure within a kinetic solver to outperform larger neural models on long-term predictions of nonlinear conservation laws including shocks.
citing papers explorer
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The entropy production is not always monotone in the space-homogeneous Boltzmann equation
A counterexample demonstrates that entropy production is not always monotone decreasing for the space-homogeneous Boltzmann equation with a non-standard collision kernel, disproving McKean's conjecture.
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Rigorous derivation of the mean-field limit for the signal-dependent Keller-Segel system
Rigorous mean-field limit derivation for the signal-dependent Keller-Segel system from stochastic particles, achieving algebraic convergence rate and strong propagation of chaos.
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Neural equilibria for long-term prediction of nonlinear conservation laws
NeurDE learns the equilibrium closure within a kinetic solver to outperform larger neural models on long-term predictions of nonlinear conservation laws including shocks.