4 papers · 1 filter
On the cut locus of Hamilton--Jacobi equations I: structure and propagation via the touching approach
Piermarco Cannarsa, Wei Cheng, Jiahui Hong \and Wenxue Wei
For a semiconcave function with linear modulus, we introduce the cut locus through a touching approach and prove that it coincides with the variational cut locus defined via the La…
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…
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…