Evolution Inclusions and Variation Inequalities for Earth Data Processing I [electronic resource] : Operator Inclusions and Variation Inequalities for Earth Data Processing /
Zgurovsky, Mikhail Z.author.
Mel'nik, Valery S.author.
Kasyanov, Pavlo O.author.
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.
Description based upon print version of record.
Evolution Inclusions and Variation Inequalities for Earth Data Processing I; Preface; Contents; Acronyms; Introduction; 1 Preliminary Results; 1.1 The Main Results from Multivalued Mapping Theory; 1.2 Classes of Multivalued Maps; 1.3 Subdifferentials in Infinite-Dimensional Spaces; 1.4 Minimax Inequalities in Finite-Dimensional Spaces; References; 2 Operator Inclusions and Variation Inequalities in Infinite-Dimensional Spaces; 2.1 Strong Solutions for Parameterized Operator Inclusions; 2.2 Parameterized Operator Inequalities; 2.3 Variation Inequalities in Banach and Frechet Spaces
2.4 The Penalty Method for Multivariation Inequalities2.5 Nonlinear Operators Equations of the Hammerstein Type. System of Operators Equations; 2.6 Nonlinear Non-coercive Operator Equationsand Their Normalization; 2.7 Some Example Connected with Membranes Theory; References; Index
Includes bibliographical references and index.
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.
Applied mathematics.
Engineering mathematics.
Geophysics.
Earth sciences.
Fluid mechanics.
Applications of Mathematics.
Geophysics and Environmental Physics.
Earth Sciences, general.
Engineering Fluid Dynamics.
Advances in mechanics and mathematics