4 papers · 2 filters
Gradient flow approach to Landau equation: A cross-product structure
Manh Hong Duong, Zihui He
We introduce a cross-product Landau gradient that commutes with Gaussian mollification. For the hard-potential interaction kernels of the form $A(|v-v_*|)\sim \langle v-v_*\rangle^…
The Homogeneous Landau Equation with Regularised Thermal Noise
Manh Hong Duong, Zihui He, Zhengyan Wu
We introduce and analyze a fluctuating homogeneous Landau equation with regularised thermal noise. The model is motivated by the nonlocal gradient flow structure of the determinist…
Unified Formulation and Asymptotic Limits of Inhomogeneous Kinetic Models within GENERIC
Manh Hong Duong, Zihui He
In this paper, we study a general class of inhomogeneous kinetic models that unifies fundamental models in both the statistical physics of particles and of waves, namely the kineti…
Multi-species kinetic models: GENERIC formulation and Fisher information
Manh Hong Duong, Zihui He
In this paper, we study the GENERIC structures of multi-species spatially inhomogeneous Boltzmann and Landau equations with Bose-Einstein, Maxwell-Boltzmann, and Fermi-Dirac statis…