23 citations · 53 across the 15 of their papers we have counts for
4 papers · 2 filters
Global Well-posedness of a System of Nonlinearly Coupled KdV equations of Majda and Biello
Yanqiu Guo, Konrad Simon, Edriss S. Titi
This paper addresses the problem of global well-posedness of a coupled system of Korteweg-de Vries equations, derived by Majda and Biello in the context of nonlinear resonant inter…
Hadamard well-posedness for a hyperbolic equation of viscoelasticity with supercritical sources and damping
Yanqiu Guo, Mohammad A. Rammaha, Sawanya Sakuntasathien +2
Presented here is a study of a viscoelastic wave equation with supercritical source and damping terms. We employ the theory of monotone operators and nonlinear semigroups, combined…
On the Radius of Analyticity of Solutions to the Cubic Szegö Equation
Patrick Gerard, Yanqiu Guo, Edriss S. Titi
This paper is concerned with the cubic Szegő equation defined on the Hardy space on the one-dimensional torus , where $Π: L^2(\math…
Persistency of Analyticity for Nonlinear Wave Equations: An Energy-like Approach
Yanqiu Guo, Edriss S. Titi
We study the persistence of the Gevrey class regularity of solutions to nonlinear wave equations with real analytic nonlinearity. Specifically, it is proven that the solution remai…