16 citations · 21 across the 3 of their papers we have counts for
3 papers
math.DS2023★ 5 cited
Time averages and periodic attractors at high Rayleigh number for Lorenz-like models
Ivan Ovsyannikov, Jens D. M. Rademacher, Roland Welter +1
Revisiting the Lorenz '63 equations in the regime of large of Rayleigh number, we study the occurrence of periodic solutions and quantify corresponding time averages of selected qu…
math.AP2020★ 16 cited
Long-time asymptotics and stability for the sine-Gordon equation
Gong Chen, Jiaqi Liu, Bingying Lu
In this paper, we study the long-time dynamics and stability properties of the sine-Gordon equation Firstly, we use the nonlinear steepest descent for R…
math.CA2019
Universality near the gradient catastrophe point in the semiclassical sine-Gordon equation
Bing-Ying Lu, Peter D. Miller
We study the semiclassical limit of the sine-Gordon (sG) equation with below threshold pure impulse initial data of Klaus-Shaw type. The Whitham averaged approximation of this syst…