Evolution Inclusions and Variation Inequalities for Earth Data Processing I: Operator Inclusions and Variation Inequalities for Earth Data Processing

ISBN-13: 9783642138362 / Angielski / Twarda / 2010 / 247 str.

Mikhail Z. Zgurovsky; Valery S. Mel'nik; Pavlo O. Kasyanov

Opis

The first of two volumes dealing with mathematical methods for earth data processing, this volume describes the generalization of various approaches to analyzing nonlinear models. Readers will find a toolbox for problems in geophysics and earth sciences.

Spis treści

Preliminary Results.- Operator Inclusions and Variation Inequalities in Infinite-Dimensional Spaces.

Blurb

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 first of two volumes dealing with the subject.