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L$^2$-Hypocoercivity for non-equilibrium kinetic equations
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abstract
The recent work [11] developed a general framework to show hypocoercivity for a stationary Gibbs state and allowed spatial degeneracy, confining potentials and boundary conditions. In this work, we show that the explicit energy approach in the weighted L$^2$ space works for general non-equilibrium steady states and that it can be adapted to cases with weaker confinement leading to algebraic decay.
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Cited by 1 Pith paper
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Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs
Non-equilibrium kinetic SDEs under partial dissipation are shown to satisfy exponential ergodicity in relative entropy and L2-Wasserstein distance, with extensions to McKean-Vlasov and mean-field particle systems.
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