23 citations · 53 across the 15 of their papers we have counts for
17 papers
On a structural acoustic model with logarithmic supercritical source terms
Baowei Feng, Yanqiu Guo, Mohammad A. Rammaha
In this paper, we study a structural acoustic model consisting of a semilinear wave equation defined on a three-dimensional bounded domain, coupled with a Kirchhoff-Love plate equa…
Blow-up of a structural acoustics model
Baowei Feng, Yanqiu Guo, Mohammad A. Rammaha
This article studies the finite time blow-up of weak solutions to a structural acoustics model consisting of a semilinear wave equation defined on a bounded domain $Ω\subset\mathbb…
On the asymptotic behavior of solutions to a structure acoustics model
Baowei Feng, Yanqiu Guo, Mohammad A. Rammaha
This article concerns the long term behavior of solutions to a structural acoustic model consisting of a semilinear wave equation defined on a smooth bounded domain $Ω\subset\mathb…
Global well-posedness for a rapidly rotating convection model of tall columnar structure in the limit of infinite Prandtl number
Chongsheng Cao, Yanqiu Guo, Edriss S. Titi
We analyze a three-dimensional rapidly rotating convection model of tall columnar structure in the limit of infinite Prandtl number, i.e., when the momentum diffusivity is much mor…
Global well-posedness for nonlinear wave equations with supercritical source and damping terms
Yanqiu Guo
We prove the global well-posedness of weak solutions for nonlinear wave equations with supercritical source and damping terms on a three-dimensional torus of the prot…
Global regularity for a rapidly rotating constrained convection model of tall columnar structure with weak dissipation
Chongsheng Cao, Yanqiu Guo, Edriss S. Titi
We study a three-dimensional fluid model describing rapidly rotating convection that takes place in tall columnar structures. The purpose of this model is to investigate the cyclon…
Global strong solutions for the three-dimensional Hasegawa-Mima model with partial dissipation
Chongsheng Cao, Yanqiu Guo, Edriss S. Titi
We study the three-dimensional Hasegawa-Mima model of turbulent magnetized plasma with horizontal viscous terms and a weak vertical dissipative term. In particular, we establish th…
Energy decay of a viscoelastic wave equation with supercritical nonlinearities
Yanqiu Guo, Mohammad A. Rammaha, Sawanya Sakuntasathien
This paper presents a study of the asymptotic behavior of the solutions for the history value problem of a viscoelastic wave equation which features a fading memory term as well as…
Blow-up of a hyperbolic equation of viscoelasticity with supercritical nonlinearities
Yanqiu Guo, Mohammad A. Rammaha, Sawanya Sakuntasathien
We investigate a hyperbolic PDE, modeling wave propagation in viscoelastic media, under the influence of a linear memory term of Boltzmann type, and a nonlinear damping modeling fr…
Non-viscous Regularization of the Davey-Stewartson Equations: Analysis and Modulation Theory
Yanqiu Guo, Irma Hacinliyan, Edriss S. Titi
In the present study we are interested in the Davey-Stewartson equations (DSE) that model packets of surface and capillary-gravity waves. We focus on the elliptic-elliptic case, fo…
Existence and BV-regularity for Neutron transport equation in non-convex domain
Yan Guo, Xiongfeng Yang
This paper considers the neutron transport equation in bounded domain with a combination of the diffusive boundary condition and the in-flow boundary condition. We firstly study th…
On the backward behavior of some dissipative evolution equations
Yanqiu Guo, Edriss S. Titi
We prove that every solution of a KdV-Burgers-Sivashinsky type equation blows up in the energy space, backward in time, provided the solution does not belong to the global attracto…
Inertial Manifolds for Certain Sub-Grid Scale -Models of Turbulence
Mohammad Abu Hamed, Yanqiu Guo, Edriss S. Titi
In this note we prove the existence of an inertial manifold, i.e., a global invariant, exponentially attracting, finite-dimensional smooth manifold, for two different sub-grid scal…
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…