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Intense cooling of a warm-core ring or warming of the fluids surrounding a ring can increase the density of that ring relative to the surrounding fluids. This increase in density can cause the ring to...
Ventilating Warm Rings：Structure and Model Evaluation
Cooling atmosphere Ventilating Warm Rings
2009/1/5
The theory of the evolution of rings under a Cooling atmosphere is extended in two ways. First effects of stratification are studied analytically through the use of a “two and one-half” layer model. S...
Translational Velocity of Warm Core Rings Relative to the Slope Water
Translational Velocity Warm Core Rings Slope Water
2009/1/4
Five warm Core rings were examined during short time intervals using thermal infrared satellite imagery. A total of 12 pairs of observations of these rings were made, all east of 72°W. The observation...
Interactions of Cold- and Warm-Core Rings with Environmental Shear
Environmental Shear Cold Warm-Core Rings
2009/1/4
A two-layer analytical model of cold- and warm-core rings has been constructed to explore steady interactions of isolated eddies with horizontally sheared flows around and below the eddies. Steady inv...
Separation of Warm-Core Rings in the Gulf of Mexico
Warm-Core Rings Mexico anticyclonic rings
2008/12/17
The separation of anticyclonic rings is studied using a 12-level primitive equation numerical model of the western North Atlantic. The “Gulf Stream Formation Region” model is based on the Bryan-Cox-Se...
A Numerical Simulation of the Evolution and Propagation of Gulf Stream Warm Core Rings
Numerical Simulation Evolution Propagation Gulf Stream Warm Core Rings
2008/12/15
The evolution and propagation of Gulf Stream warm core rings in a flat-bottom, β-plane ocean are studied using a three-dimensional primitive equation model. Rings are produced by a heat source that is...
Elliptical Warm-Core Rings in a Two-Layer Ocean with Ambient Shear
Warm-Core Rings Ambient Shear Two-Layer Ocean
2008/12/12
The rodon solution for an elliptical vortex with outcropping interface is extended from the reduced-gravity limit to the two-layer model. Motions in the lower layer consist of a reaction to the presen...
The Dynamics of Barotropically Dominated Rings
Barotropically Dominated Rings vorticity contours lower layer evolution
2008/12/12
Based on observations, the proposition is forwarded that some rings involve important deep flow. The work described herein is directed at understanding the consequences on eddy evolution of such struc...
Geostrophic Vortex Merger and Streamer Development in the Ocean with Special Reference to the Merger of Kuroshio Warm Core Rings
quasigeostrophic shallow-water Kuroshio Warm Core Rings Geostrophic Vortex Merger
2008/12/11
A simple, quasigeostrophic, two-layer model was used to study the interactions of two like-signed vortices and streamer development in the ocean. In particular, models corresponding to the observed me...
Primitive Equation Instability of Wide Oceanic Rings. Part I：Linear Theory
Wide Oceanic Rings Linear Theory Asymptotic theory
2008/11/18
The linear stability of two-layer primitive equation ocean rings is considered in the case when the rings are wide compared with a deformation radius, as is usually observed. Asymptotic theory is deve...
Primitive-Equation Instability of Wide Oceanic Rings. Part II: Numerical Studies of Ring Stability
Primitive-Equation Instability Wide Oceanic Rings Ring Stability
2008/7/21
The study of barotropic structure and its effects on oceanic ring stability has yielded seemingly conflicting results. Some studies suggest that the stability of a given ring profile is as sensitive t...
Why Are There Agulhas Rings?
Agulhas Rings Nof
2008/7/10
The recently proposed analytical theory of Nof and Pichevin describing the intimate relationship between retroflecting currents and the production of rings is examined numerically and applied to the A...
Inductive Rings and Systems of Diophantine Equations
Inductive rings Systems of unsolved cubic diophantine equations Model theory
2007/12/13
In this paper, by using model-theoretic methods, it is shown that some systems of unsolved cubic diophantine equations in number theory can have solutions in certain inductive extension rings of the r...
On Polynomial Functions Over Finite Commutative Rings
Polynomial function Finite commutative local ring Generalized Witt polynomial
2007/12/12
Let $R$ be an arbitrary finite commutative local ring. In this paper, we obtain a necessary and sufficient condition for a function over $R$ to be a polynomial function. Before this paper, necessary a...
Triangular Matrix Representations of Rings of Generalized Power Series
Generalized triangular matrix representation Twisted generalized power series ring PWP ring Triangulating dimension
2007/12/12
Let $R$ be a ring and $S$ a cancellative and torsion-free monoid and $\leq$ a strict order on $S$. If either $(S, \leq)$ satisfies the condition that $0\leq s$ for all $s\in S$, or $R$ is reduced, the...