5 papers
Generalized Hamiltonian gradient flow of contact type I: regularity of the fundamental solutions
Wei Cheng, Shengqing Hu, Kaizhi Wang
This paper studies generalized Hamiltonian gradient flows for contact-type Hamilton--Jacobi equations, adopting the variational framework of Herglotz's principle and its fundamenta…
Long-time behavior of generalized gradient flows of solutions to Hamilton-Jacobi equations
Paolo Albano, Piermarco Cannarsa, Wei Cheng +1
We study the long-time behavior of the generalized gradient flow associated with solutions of the critical Hamilton-Jacobi equation for mechanical Hamiltonians on the flat torus. F…
Gravitational Waves from Higgs Preheating after Inflaton -Symmetry Breaking
Hua Zhou, Qing Yu, Wei Cheng +1
In this paper, nonperturbative lattice simulations are used to study Higgs preheating and the associated gravitational wave (GW) background after the inflaton symmetry is bro…
Recent progress in generalized Hamiltonian gradient flow: Singularities
Wei Cheng, Jiahui Hong
This paper is a survey of the generalized Hamiltonian gradient flow (GHGF) framework for Hamilton-Jacobi equations, with an emphasis on the propagation of singularities and its con…
Qualitative Estimates of Topological Entropy for Non-Monotone Contact Lax-Oleinik Semiflow
Wei Cheng, Jiahui Hong, Zhi-Xiang Zhu
For the non-monotone Hamilton-Jacobi equations of contact type, the associated Lax-Oleinik semiflow is expansive. In this paper, we provide qualitative estimates for…