Evolution Inclusions and Variation Inequalities for Earth Data Processing III (eBook)

Long-Time Behavior of Evolution Inclusions Solutions in Earth Data Analysis

Mikhail Z. Zgurovsky, Pavlo O. Kasyanov, Oleksiy V. Kapustyan, José Valero, Nina V. Zadoianchuk (Autoren)

eBook Download: PDF

2012 | 2012
XLII, 330 Seiten
Springer Berlin (Verlag)
978-3-642-28512-7 (ISBN)

Infos

In this sequel to two earlier volumes, the authors now focus on the long-time behavior of evolution inclusions, based on the theory of extremal solutions to differential-operator problems. This approach is used to solve problems in climate research, geophysics, aerohydrodynamics, chemical kinetics or fluid dynamics. As in the previous volumes, the authors present a toolbox of mathematical equations. The book is based on seminars and lecture courses on multi-valued and non-linear analysis and their geophysical application.

Inhalt

Introduction: Long-time Behaviour of Evolution Inclusions Solutions in Earth Data Analysis.- Part I Long-time Behaviour of Autonomous Differential-Operator Systems Solutions for Earth Data Processing: Abstract Theory of Multivalued Semiflows.- Auxiliary Properties of Evolution Inclusions Solutions for Earth Data Processing.- Attractors for Lattice Dynamical Systems.- Part II Long-time Behaviour of Nonautonomous Differential-Operator Systems Solutions for Earth Data Processing: On Global Attractors of Multivalued Semiprocesses and Nonautonomous Evolution Inclusions.- On the Kneser Property for the Complex Ginzburg-Landau Equation and the Lotka-Volterra System with Diffusion.- Pullback Attractors for a Class of Extremal Solutions of the 3D Navier-Stokes System.- Properties of Resolving Operator for Nonautonomous Evolution Inclusions: Pullback Attractors.- Functional Spaces. The Embedding and Approximation Theorems.

Produkt-Details

• Erscheint lt. Verlag: 22.5.2012
• Reihe/Serie: Advances in Mechanics and Mathematics
• Reihe/Serie: Advances in Mechanics and Mathematics
• Zusatzinfo: XLII, 330 p.
• Verlagsort: Berlin
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Themenwelt: Naturwissenschaften ► Chemie
• Themenwelt: Naturwissenschaften ► Physik / Astronomie
• Themenwelt: Technik ► Bauwesen
• Schlagworte: Aerohydrodynamics • Complexity • Earth Data Processing • ecological models • Geophysics • Lattice Dynamical Systems • Lotka-Volterra System • Multivalued Semiflows • Navier-Stokes System • Variation Inequalities
• ISBN-10: 3-642-28512-0 / 3642285120
• ISBN-13: 978-3-642-28512-7 / 9783642285127