Guan Huang

activity

20132023

most citedOn the Marked Length Spectrums of Generic Strictly Convex Billiard Tables

13 citations · 17 across the 10 of their papers we have counts for

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Showing 2014Show all

2 papers · 1 filter

math.AP2014★ 1 cited

Time-averaging for weakly nonlinear CGL equations with arbitrary potentials

Guan Huang, Sergei Kuksin, Alberto Maiocchi

Consider weakly nonlinear complex Ginzburg--Landau (CGL) equation of the form: $u_{t} + i (- Δ u + V (x) u) = ε μ Δ u + ε P (u), x \in R^{d}, (*)$ under the periodic boundary…

math.DS2014

Long-time dynamics of resonant weakly nonlinear CGL equations

Guan Huang

Consider a weakly nonlinear CGL equation on the torus~ $T^{d}$ : \[u_t+iΔu=ε[μ(-1)^{m-1}Δ^{m} u+b|u|^{2p}u+ ic|u|^{2q}u].\eqno{(*)}\] Here $u = u (t, x)$ , $x \in T^{d}$ , $0<ε…