Name: Adiabatic Chaos and Transport in Geophysical Fluid Flows (en Inglés)
SKU: 57355622
Price: 1003.31 MXN
Availability: InStock
Author: Tladi, Maleafisha Joseph Pekwa Stephen
ISBN: 9786200116550

portada Adiabatic Chaos and Transport in Geophysical Fluid Flows (en Inglés)

Adiabatic Chaos and Transport in Geophysical Fluid Flows (en Inglés)

Formato

Libro Físico

Autor

Maleafisha Joseph Pekwa Stephen Tladi

Editorial

LAP Lambert Academic Publishing

Idioma

Inglés

N° páginas

148

Encuadernación

Tapa Blanda

Dimensiones

22.9x15.2x0.9 cm

Peso

0.23 kg.

ISBN13

9786200116550

Categorías

Matemáticas

Adiabatic Chaos and Transport in Geophysical Fluid Flows (en Inglés)

Maleafisha Joseph Pekwa Stephen Tladi (Autor) · LAP Lambert Academic Publishing · Tapa Blanda

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Reseña del libro "Adiabatic Chaos and Transport in Geophysical Fluid Flows (en Inglés)"

Advances in our understanding of the dynamics of mesoscale eddies and vortex rings of the Gulf Stream have been based on modons which are nonlinear Rossby solitary wave solutions of quasigeostrophic equations. This dissertation focuses primarily on geometric singular perturbation theory and Melnikov techniques to address the problem of adiabatic chaos and transport for translating and rotating modons to the quasigeostrophic potential vorticity system. A very general and central question is what hypotheses on the equations and singular solutions guarantee that the solutions approximate some solutions for the perturbed quasigeostrophic potential vorticity system. We present a geometric approach to the problem which gives more refined a priori energy type estimates on the position of the invariant manifold and its tangent planes as the manifold passes close to a normally hyperbolic piece of a slow manifold. We apply Melnikov technique to show that the Poincare map associated with modon equations has transverse heteroclinic orbits. We appeal to the Smale-Birkhoff Theorem and KAM Theorem for onset of chaos in slowly varying perturbations of multi-degree-of-freedom Hamiltonian systems.