64 citations · 305 across the 72 of their papers we have counts for
5 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^…
Global Dynamics of Trait-Structured Generalised Lotka-Volterra Systems with Trait-Independent Interactions
Manh Hong Duong, Nataliya Balabanova, Blaine van Rensburg
We study the long time dynamics of a selection-mutation integro-differential Lotka-Volterra system of populations. In our model, fitness depends on a continuous phenotypic trai…
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…