12 citations · 22 across the 13 of their papers we have counts for
13 papers
Local stable and unstable sets for random dynamical systems
Xue Liu, Xiao Ma, Xiaomin Zhou
We study local stable and unstable sets for two-sided continuous bundle random dynamical systems. For an ergodic invariant measure with positive fiber measure-theoretic entropy and…
Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory
Yu Deng, Zaher Hani, Xiao Ma
In this paper, we rigorously derive the fundamental PDEs of fluid mechanics, such as the compressible Euler and incompressible Navier-Stokes-Fourier equations, starting from the ha…
Discrete spectrum of probability measures for locally compact group actions
Zongrui Hu, Xiao Ma, Leiye Xu +1
In this paper, we investigate the discrete spectrum of probability measures for actions of locally compact groups. We establish that a probability measure has a discrete spectrum i…
Invariant tori for a class of affined Anosov mappings with quasi-periodic forces
Xinyu Bai, Zeng Lian, Xiao Ma +1
In this paper, we consider a class of affined Anosov mappings with quasi-periodic forces, and show that there is a unique positive integer , which only depends on the system, su…
Long time derivation of the Boltzmann equation from hard sphere dynamics
Yu Deng, Zaher Hani, Xiao Ma
We provide a rigorous derivation of Boltzmann's kinetic equation from the hard sphere system for rarefied gas, which is valid for arbitrarily long times, as long as the solution to…
Almost sharp wave kinetic theory of multidimensional KdV type equations with
Xiao Ma
In this work, we study the random series expansion of a multidimensional KdV type equation with a diffusion term, the so-called Zakharov-Kuznetsov (ZK) equation. We impose random i…
Linear Stability of the 2D Irrotational Circulation Flow around An Elliptical Cylinder
Xiao Ma
In this article we prove a linear inviscid damping result with optimal decay rates of the 2D irrotational circulation flow around an elliptical cylinder. In our result, all compone…
Cancellations of Resonances and Long Time Dynamics of Cubic Schrödinger Equation on
Kexin Jin, Xiao Ma
We prove a vanishing property of the normal form transformation of the 1D cubic nonlinear Schrödinger (NLS) equation with periodic boundary conditions on . We apply this pro…
Ergodic optimization theory for Axiom A flows
Wen Huang, Zeng Lian, Xiao Ma +2
In this article, we consider the weighted ergodic optimization problem Axiom A attractors of a flow on a compact smooth manifold. The main result obtained in this paper is th…
Ergodic optimization theory for a class of typical maps
Wen Huang, Zeng Lian, Xiao Ma +2
In this article, we consider the weighted ergodic optimization problem of a class of dynamical systems where is a compact metric space and is Lipschitz continuou…
Asymptotic stability of harmonic maps between 2D hyperbolic spaces under the wave map equation. II. Small energy case
Ze Li, Xiao Ma, Lifeng Zhao
In this paper, we prove that the small energy harmonic maps from to are asymptotically stable under the wave map equation in the subcritical perturbation clas…
Quasi-periodic solutions for p-Laplacian equations with jumping nonlinearity and unbounded potential terms
Xiao Ma, Daxiong Piao, Yiqian Wang
In this paper, we are concerned with the boundedness of all the solutions for a kind of second order differential equations with p-Laplacian term $(ϕ_p(x'))'+aϕ_p(x^+)-bϕ_p(x^-)+f(…
Boundedness for Second Order Differential Equations with Jumping p-Laplacian and an Oscillating Term
Xiao Ma, Daxiong Piao, Yiqian Wang
In this paper, we are concerned with the boundedness of all the solutions for a kind of second order differential equations with p-Laplacian and an oscillating term $(ϕ_p(x'))'+aϕ_…