A horizontal hyper-diffusion three-dimensional thermocline planetary geostrophic model: well-posedness and long-time behaviour
نویسندگان
چکیده
منابع مشابه
A ‘horizontal’ hyper-diffusion three-dimensional thermocline planetary geostrophic model: well-posedness and long-time behaviour
1 Department of Mathematics, University of Nebraska-Lincoln, Lincoln, NE 68588-0323, USA 2 Department of Mathematics and Department of Mechanical and Aerospace Engineering, University of California, Irvine, CA 92697-3875, USA and Department of Computer Science and Applied Mathematics, Weizmann Institute of Science, Rehovot 76100, Israel 3 Department of Mathematics, University of Southern Califo...
متن کاملA “horizontal” Hyper–diffusion 3−d Thermocline Planetary Geostrophic Model: Well-posedness and Long Time Behavior
In this paper we study a three dimensional thermocline planetary geostrophic “horizontal” hyper–diffusion model of the gyre-scale midlatitude ocean. We show the global existence and uniqueness of the weak and strong solutions to this model. Moreover, we establish the existence of a finite dimensional global attractor to this dissipative evolution system. Preliminary computational tests indicate...
متن کاملGlobal Well-Posedness and Finite-Dimensional Global Attractor for a 3-D Planetary Geostrophic Viscous Model
In this paper we consider a three-dimensional planetary geostrophic viscous model of the gyre-scale mid-latitude ocean. We show the global existence and uniqueness of the weak and strong solutions to this model. Moreover, we establish the existence of a finite-dimensional global attractor to this dissipative evolution system. c © 2003 Wiley Periodicals, Inc.
متن کاملLattice Boltzmann solutions of the three-dimensional planetary geostrophic equations
We use the lattice Boltzmann method as the basis for a three-dimensional, numerical ocean circulationmodel in a rectangularbasin. The fundamental dynamical variables are the populationsof massand buoyancy-particleswith prescribed discrete velocities. The particles obey collision rules that correspond,on the macroscopic scale, to planetary geostrophicdynamics.The advantagesof the model are simpl...
متن کاملWell-Posedness for a One-Dimensional Fluid-Particle Interaction Model
The fluid-particle interaction model introduced by the three last authors in [J. Differential Equations, 245 (2008), pp. 3503–3544] is the object of our study. This system consists of the Burgers equation with a singular source term (term that models the interaction via a drag force with a moving point particle) and of an ODE for the particle path. The notion of entropy solution for the singula...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nonlinearity
سال: 2004
ISSN: 0951-7715,1361-6544
DOI: 10.1088/0951-7715/17/5/011