Zgurovsky, Mikhail Z., Mel'nik, Valery S., Kasyanov, Pavlo O.
2011, XXVI, 274 p.
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A unique mathematical toolbox for solving problems in geophysics and earth sciences
Introduces new concepts
Written by experts
Here, the authors present modern mathematical methods to solve problems of differential-operator inclusions and evolution variation inequalities which may occur in fields such as geophysics, aerohydrodynamics, or fluid dynamics. For the first time, they describe the detailed generalization of various approaches to the analysis of fundamentally nonlinear models and provide a toolbox of mathematical equations. These new mathematical methods can be applied to a broad spectrum of problems. Examples of these are phase changes, diffusion of electromagnetic, acoustic, vibro-, hydro- and seismoacoustic waves, or quantum mechanical effects.
This is the second of two volumes dealing with the subject.
Auxiliary Statements.- Differential-Operator Inclusions with W-Lambda-pseudomonotone Maps.-Evolution Variation Inequalities.- Vortical Flow Pattern Past a Square Prism: Numerical Model and Control Algorithms.