Global Attractor of Atmospheric Circulation Equations with Humidity Effect

Global Attractor of Atmospheric Circulation Equations with Humidity Effect

and Applied Analysis 3 The paper is organized as follows. In Section 2, we recall preliminary results. In Section 3, we present uniqueness of the solution to the atmospheric circulation equations. In Section 4, we obtain global attractor of the equations. ‖ · ‖X denote norm of the space X; C and Ci are variable constants. Let H {φ u, T, q ∈ L2 Ω, R4 | φ satisfy 1.4 , 1.6 }, and H1 {φ u, T, q ∈ ...

Steady State Solution to Atmospheric Circulation Equations with Humidity Effect

Physical Interpretation of the Attractor Dimension for the Primitive Equations of Atmospheric Circulation

In a series of recent papers, some of the authors have addressed with mathematical rigor some aspects of the primitive equations governing the large-scale atmospheric motion. Among other results, they derived without evaluating it an expression for the dimension of the attractor for those equations. It is known that the long-term behavior of the motion and states of the atmosphere can be descri...

Global Attractor for Damped Wave Equations with Nonlinear Memory

Let Ω ⊂ R be a bounded domain with a smooth boundary. We consider the longtime dynamics of a class of damped wave equations with a nonlinear memory term

The Global Attractor Associated with the Viscous Lake Equations

We consider the motion of an incompressible fluid confined to a shallow basin with varying bottom topography. A two-dimensional shallow water model has been derived from a three-dimensional anisotropic eddy viscosity model and has been shown to be globally well posed in [15]. The dynamical system associated with the shallow water model is studied. We show that this system possesses a global att...