28 citations · 66 across the 11 of their papers we have counts for
11 papers
A new selection problem for degenerate viscous Hamilton-Jacobi equations
Qinbo Chen, Zhi-Xiang Zhu
We study a selection problem for degenerate viscous Hamilton--Jacobi equations with convex Hamiltonians, in which the approximation procedure combines a nonlinear discounted approx…
Convergence of the solutions of the nonlinear discounted Hamilton-Jacobi equation: The central role of Mather measures
Qinbo Chen, Albert Fathi, Maxime Zavidovique +1
Given a continuous Hamiltonian defined on , where is a closed connected manifold, we study viscosity solutions, $u_λ: M\…
Rigidity properties for some isometric extensions of partially hyperbolic actions on the torus
Qinbo Chen, Danijela Damjanović
This paper studies local rigidity for some isometric toral extensions of partially hyperbolic () actions on the torus. We prove a local rigi…
On simultaneous linearization of certain commuting nearly integrable diffeomorphisms of the cylinder
Qinbo Chen, Danijela Damjanović, Boris Petković
Let and be commuting diffeomorphisms of the cylinder that are, respectively, close to $\mathcal{F}_0 (x, y)=(x+ω…
Analytic genericity of diffusing orbits in a priori unstable Hamiltonian systems
Qinbo Chen, Rafael de la Llave
The genericity of Arnold diffusion in the analytic category is an open problem. In this paper, we study this problem in the following a priori unstable Hamiltonian system with a ti…
Convergence of solutions of Hamilton-Jacobi equations depending nonlinearly on the unknown function
Qinbo Chen
Motivated by the vanishing contact problem, we study in the present paper the convergence of solutions of Hamilton-Jacobi equations depending nonlinearly on the unknown function. L…
Exponential stability of fast driven systems, with an application to celestial mechanics
Qinbo Chen, Gabriella Pinzari
We construct a normal form suited to {\it fast driven systems}. We call so systems including actions , angles {}, and one fast coordinate , moving under the action o…
Vanishing contact structure problem and convergence of the viscosity solutions
Qinbo Chen, Wei Cheng, Hitoshi Ishii +1
This paper is devoted to study the vanishing contact structure problem which is a generalization of the vanishing discount problem. Let be a family of Hamiltonians of…
Dynamic and asymptotic behavior of singularities of certain weak KAM solutions on the torus
Piermarco Cannarsa, Qinbo Chen, Wei Cheng
For mechanical Hamiltonian systems on the torus, we study the dynamical properties of the generalized characteristics semiflows associated with certain Hamilton-Jacobi equations, a…
Gevrey genericity of Arnold diffusion in a priori unstable Hamiltonian systems
Qinbo Chen, Chong-Qing Cheng
It is well known that under generic smooth perturbations, the phenomenon of global instability, known as Arnold diffusion, exists in a priori unstable Hamiltonian systems. In…
Regular dependence of the Peierls barriers on perturbations
Qinbo Chen, Chong-Qing Cheng
Let be an exact area-preserving monotone twist diffeomorphism of the infinite cylinder and be the associated Peierls barrier. In this paper, we give the Hölder reg…