关于接触Hamilton-Jacobi方程粘性解的奇性传播

接触Hamilton系统是Hamilton动力系统的自然推广。本项目从经典Hamilton系统粘性解的奇性传播出发，利用对于接触Hamilton系统已经建立的相应弱KAM理论，研究接触系统对应的Hamilton-Jacobi方程粘性解的奇性传播。从而深入研究其与动力学复杂性之间的关系。 我们希望这一项目的开展能推动相关领域的进一步发展。

The contact Hamiltonian dynamical systems are natural generalization of classical Hamiltonian systems. The main purpose of the project will be contributed to study the propogation of singularities of viscosity solution of contact Hamiltonian system, using the weak KAM theory about the contact Hamiltonian system, basing on the results about the classical system. We want to establish the deep relations between the propogation of singularities and the mechanism. We expect this project can make the further development of the relevant fields.