45 citations · 71 across the 8 of their papers we have counts for
8 papers
The finite dimensions and determining modes of the global attractor for 2d Boussinesq equations with fractional Laplacian
Aimin Huang, Wenru Huo
In this article, we prove the finite dimensionality of the global attractor and estimate the numbers of the determining modes for the 2D Boussinesq system in a periodic channel wit…
The global attractor of the 2D Boussinesq equations with fractional Laplacian in Subcritical case
Aimin Huang, Wenru Huo
We prove global well-posedness of strong solutions and existence of the global attractor for the 2D Boussinesq system in a periodic channel with fractional Laplacian in subcritical…
The nonlinear 2D supercritical inviscid shallow water equations in a rectangle
Aimin Huang, Madalina Petcu, Roger Temam
In this article we consider the inviscid two-dimensional shallow water equations in a rectangle. The flow occurs near a stationary solution in the so called supercritical regime an…
The primitive equations of the atmosphere in presence of vapor saturation
Michele Coti Zelati, Aimin Huang, Igor Kukavica +2
A modification of the classical primitive equations of the atmosphere is considered in order to take into account important phase transition phenomena due to air saturation and con…
The 2D Euler-Boussinesq equations in planar polygonal domains with Yudovich's type data
Aimin Huang
We address the well-posedness of the 2D (Euler)-Boussinesq equations with zero viscosity and positive diffusivity in the polygonal-like domains with Yudovich's type data, which giv…
The global well-posedness and global attractor for the solutions to the 2D Boussinesq system with variable viscosity and thermal diffusivity
Aimin Huang
Global well-posedness of strong solutions and existence of the global attractor to the initial and boundary value problem of 2D Boussinesq system in a periodic channel with non-hom…
The linear hyperbolic initial and boundary value problems in a domain with corners
Aimin Huang, Roger Temam
In this article, we consider linear hyperbolic Initial and Boundary Value Problems (IBVP) in a rectangle (or possibly curvilinear polygonal domains) in both the constant and variab…
The Linearized 2D Inviscid Shallow Water Equations in a Rectangle: Boundary Conditions and Well-Posedness
Aimin Huang, Roger Temam
We consider the linearized 2D inviscid shallow water equations in a rectangle. A set of boundary conditions is proposed which make these equations well-posed. Several different cas…