Mathematical modeling of the distribution and transport of the water vapor over Mexico
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Abstract
Both statistical methods and mathematical modelling are used to study the distribution and evolution of various climatic characteristics in the humidity field of Mexico. The statistical analysis provides local humidity estimates based on Kriging's method and Shepard's interpolation. A mathematical limited area model of humidity transport (taking account of topography) is formulated for a region of Mexico in the a-system of coordinates. The model is balanced and well-posed according to Hadamard, that is, both of its solutions are unique and stable to perturbations in the initial and boundary conditions, m the absence of the humidity sources and sinks the model has two conservation laws
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