28 citations · 39 across the 14 of their papers we have counts for
5 papers · 1 filter
Variational construction of connecting orbits between Legendrian graphs
Liang Jin, Jun Yan, Kai Zhao
Motivated by the problem of global stability of thermodynamical equilibria in non-equilibrium thermodynamics formulated in a recent paper [12], we introduce some mechanisms for con…
Global propagation of singularities for discounted Hamilton-Jacobi equations
Cui Chen, Jiahui Hong, Kai Zhao
The main purpose of this paper is to study the global propagation of singularities of viscosity solution to discounted Hamilton-Jacobi equation \begin{equation}\label{eq:discount 1…
Viscosity subsoltions of Hamilton-Jacobi equations and Invariant sets of contact Hamilton systems
Xiang Shu, Jun Yan, Kai Zhao
The objective of this paper is to present some results about viscosity subsolutions of the contact Hamiltonian-Jacobi equations on connected, closed manifold $$ H(x,\partial_x…
Variational attraction of the KAM torus for the conformally symplectic system
Liang Jin, Jianlu Zhang, Kai Zhao
For the conformally symplectic system \[ \left\{ \begin{aligned} \dot{q}&=H_p(q,p),\quad(q,p)\in T^*\mathbb{T}^n\\ \dot p&=-H_q(q,p)-λp, \quad λ>0 \end{aligned} \right. \] with a p…
Smooth subsolutions of the discounted Hamilton-Jacobi equations
Xiyao Huang, Liang Jin, Jianlu Zhang +1
For the discounted Hamilton-Jacobi equation,we construct subsolutions which are indeed solutions on the projected Aubry set. The smoothnes…