11 citations · 20 across the 7 of their papers we have counts for
4 papers · 1 filter
Hyperbolicity of the time-like extremal surfaces in minkowski spaces
Xianglong Duan
In this paper, it is established, in the case of graphs, that time-like extremal surfaces of dimension in the Minkowski space of dimension can be described by a symme…
Magnetohydrodynamic regime of the born-infeld electromagnetism
Xianglong Duan
The Born-Infeld (BI) model is a nonlinear correction of Maxwell's equations. By adding the energy and Poynting vector as additional variables, it can be augmented as a 1010…
An integrable example of gradient flows based on optimal transport of differential forms
Yann Brenier, Xianglong Duan
Optimal transport theory has been a powerful tool for the analysis of parabolic equationsviewed as gradient flows of volume forms according to suitable transportation metrics.In th…
From conservative to dissipative systemsthrough quadratic change of time, with application to the curve-shortening flow
Yann Brenier, Xianglong Duan
We provide several examples of dissipative systems that can be obtained from conservative ones through a simple, quadratic,change of time. A typical example is the curve-shortening…