The Vorticity Equation and its Implications
Exact solutions of the vorticity equation on the sphere as a manifold
... barotropic vorticity equations (BVE) on the rotating unit sphere S 2 ferentiable ...barotropic vorticity equation on the manifold S 2 and its usefulness to identify the properties of the ...
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Role of forcing in large-time behavior of vorticity equation solutions on a sphere
... The Hausdorff dimension of its path, being an open spiral densely wound around a 2n-dimensional to- rus in H n , equals to 2n. As the generalized Grashof number G becomes small enough then the basin of attraction ...
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Computation of incipient separation via solution of the vorticity equation on a lagrangian mesh
... The vorticity at any other point in the region is then approximated by linear interpolation based on the vorticity at the nodal points and shape functions specied by the geometry of the ...the ...
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Lagrange form of the nonlinear Schrödinger equation for low-vorticity waves in deep water
... NLS equation on the basis of the averaged La- grangian ...the equation proves the exis- tence of the transverse instability of a plane wave, which is much stronger than a longitudinal ...NLS equation ...
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3 Vorticity, Circulation and Potential Vorticity.
... Potential Vorticity (PV) So far we have derived Kelvin’s circulation theorem which demonstrated that in the absence of friction or baroclinicity the absolute circulation is ...The vorticity equation ...
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Observations of oceanic potential vorticity and its relationship with other tracers
... differential equation on a rectangular region with given boundary conditions (see NAG FORTRAN Library Manual (1991) , Sub-routine ...the equation on to a rectangular grid by approximating it at each grid ...
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Periodized Radial Basis Functions (RBFs) and RBF-Vortex Method for the Barotropic Vorticity Equation.
... Fig. 4.2 shows the flowchart for simulating the BVE using RBF-Vortex method with hyperviscosity. The hyperdiffusion process occurs before we move on to next time step. That is, we do a standard hyperdiffusion using the ...
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A comparison of the equivalent weights particle filter and the local ensemble transform Kalman filter in application to the barotropic vorticity equation
... (Manuscript received 20 November 2015; in final form 2 October 2016) A B S T R A C T Data assimilation methods that work in high-dimensional systems are crucial to many areas of the geosciences: meteorology, ...
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The analogy of equation of rotation in complex plane with the Dirac equation, and its foundation
... In present work, we try to use the classical concepts mentioned above to formulate a model analogous to the relativistic quantum mechanics. Thus this approach does not base on the quantum postulates (wave function, and ...
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A Study on Integral Equation and Its Applications
... functional equation in which the unknown function appears under the sign of integration is called an integral ...integral equation originates from the conversion of a boundary-value problem or an ...
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Thermospheric vorticity at high geomagnetic latitudes from CHAMP data and its IMF dependence
... of its data analysis as elaborated in ...thermospheric vorticity in polar regions of both hemispheres in dependence on the IMF orientation, which is presented in ...
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Graphene with geometrically induced vorticity
... We wish to compactify the Kekul´e distorted graphene sheet into a surface with the topology of a sphere. To do this it helps to make a change of basis. We exchange the role of A and B at the K + Fermi point and rotate ...
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The Hensher equation: derivation, interpretation and implications for practical implementation
... ‘Hensher equation’ is a prominent method for valuing the benefits of business travel time ...the equation from first principles, revealing several underpinning assumptions, as follows: a) production is a ...
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Some Implications of an Alternate Equation for the BCS Energy Gap
... 1 2 W T 01 0 W at T = 0 in the limit of the dimensionless BCS interaction parameter 0 . Here ∆ 0 is the zero-temperature gap whence it follows that the binding energy of a CP bound via one-phonon exchanges at T = ...
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Finite Element Solution of a Stream Function Vorticity System and Its Application to the Navier Stokes Equations
... The finite element solution of a generalized Stokes system in terms of the flow variables stream function and vorticity is studied. This system results from a time discretization of the time-dependent Stokes ...
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Different solutions of the diffusion equation and its applications
... Advection–diffusion equation, Pollutants deposition, Extreme ground‑level concentration, Egyptian atomic research reactor, Urban atmosphere, The conservative material, Continuous point source, Maximum ...
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Functional Equation and Its Hyers Ulam Stability
... functional equation, f x pf x − 1 − qf x − 2 , and prove its Hyers-Ulam stability in the class of functions f : R → X, where X is a real or complex Banach ...
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The Fractal (BSf) Kinetics Equation and Its Approximations
... This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/ Abstract We discuss the Brouers-Sotolongo fractal (BSf) kinetics model. This ...
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On integrability of the Camassa Holm equation and its invariants
... 5 Conclusion We finish this paper with a number of remarks. Remark 1 First of all, let us stress again what has been done above. We treated the Camassa– Holm equation directly, without artificial assumptions about ...
Macroscopic Equation and Its Application for Free Ways
... an equation that is usually an ordinary differential equation ...differential equation, which involves variables such as density, speed, and flow rate of traffic stream with respect to time and ...of ...
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