Rossby wave equations characterize a class of wave phenomena occurring in geophysical fluid dynamics. One technique useful in the analysis of these waves is the geometrical optics, or multi-dimensional WKB technique. Near caustics, e.g., in critical regions, this technique does not apply. A related technique that does apply near caustics is the Lagrange Manifold Formalism. Here we apply the Lagrange Manifold Formalism to study Rossby waves near caustics.
Los campos escalares, bidimensionales y dependientes del tiempo, se representan generalmente en Meteorología mediante una sucesión de imágenes o análisis separados con una interdistancia temporal adecuada. Esta técnica alcanza su máximo desarrollo en lo que se conoce como gráfico animado.En el presente artículo se describen brevemente los procesos que, a partir de los datos, culminan con la generación de un análisis, imagen o fotograma, particularizando al caso de episodios de lluvia. Tras un resumen...
In this survey we collect several results concerning S-type bifurcation curves for the number of solutions of reaction-diffusion stationary equations. In particular, we recall several results in the literature for the case of stationary energy balance models.
As part of global climate change an accelerated hydrologic cycle (including an increase in heavy precipitation) is anticipated (Trenberth [20, 21]). So, it is of great importance to be able to quantify high-impact hydrologic relationships, for example, the impact that an extreme precipitation (or temperature) in a location has on a surrounding region. Building on the Multivariate Extreme Value Theory we propose a contagion index and a stability index. The contagion index makes it possible to quantify...