Continuous and Distributed Systems II: Theory and Applications

✍ Scribed by Viktor A. Sadovnichiy, Mikhail Z. Zgurovsky (eds.)

• Publisher: Springer International Publishing
• Year: 2015
• Tongue: English
• Leaves: 395
• Series: Studies in Systems, Decision and Control 30
• Edition: 1
• Category: Library

✦ Synopsis

As in the previous volume on the topic, the authors close the gap between abstract mathematical approaches, such as applied methods of modern algebra and analysis, fundamental and computational mechanics, nonautonomous and stochastic dynamical systems, on the one hand and practical applications in nonlinear mechanics, optimization, decision making theory and control theory on the other.

Readers will also benefit from the presentation of modern mathematical modeling methods for the numerical solution of complicated engineering problems in biochemistry, geophysics, biology and climatology. This compilation will be of interest to mathematicians and engineers working at the interface of these fields. It presents selected works of the joint seminar series of Lomonosov Moscow State University and the Institute for Applied System Analysis at National Technical University of Ukraine “Kyiv Polytechnic Institute”. The authors come from Brazil, Germany, France, Mexico, Spain, Poland, Russia, Ukraine and the USA.

✦ Table of Contents

Front Matter....Pages i-xxiii
Front Matter....Pages 1-1
The Absolute Stability of Orthorecursive Expansions in Redundant Systems of Subspaces....Pages 3-10
Topological Classification of Geodesic Flows on Revolution 2-Surfaces with Potential....Pages 11-27
Multiplicative and Additive Problems of Partitions of Natural Numbers....Pages 29-36
Critical Analysis of Amino Acids and Polypeptides Geometry....Pages 37-81
On the Riemann’s Problem for One Nonstrictly Hyperbolic System....Pages 83-99
Front Matter....Pages 101-101
Dynamics of Nonautonomous Chemostat Models....Pages 103-120
Asymptotic Dynamics of Stochastic Lattice Differential Equations: A Review....Pages 121-136
A Generalized Cahn-Hilliard Equation with Logarithmic Potentials....Pages 137-148
Attractors for Multivalued Processes with Weak Continuity Properties....Pages 149-166
Lévy–Areas of Ornstein–Uhlenbeck Processes in Hilbert–Spaces....Pages 167-188
Periodic and Almost Periodic Random Inertial Manifolds for Non-Autonomous Stochastic Equations....Pages 189-208
Some Properties for Exact Generalized Processes....Pages 209-219
Uniform Trajectory Attractors for Nonautonomous Dissipative Dynamical Systems....Pages 221-232
Lyapunov Functions for Differential Inclusions and Applications in Physics, Biology, and Climatology....Pages 233-243
Front Matter....Pages 245-245
Robust Stability, Minimax Stabilization and Maximin Testing in Problems of Semi-Automatic Control....Pages 247-265
Dynamics of Solutions for Controlled Piezoelectric Fields with Multivalued “Reaction-Displacement” Law....Pages 267-276
Minimax Estimates for Solutions of Parabolic-Hyperbolic Equations with Nonlocal Boundary Conditions....Pages 277-296
The Optimal Control Problem for Parabolic Equation with Nonlocal Boundary Conditions in Circular Sector....Pages 297-314
On the Existence of Weak Optimal Controls in the Coefficients for a Degenerate Anisotropic p-Laplacian....Pages 315-337
Front Matter....Pages 339-339
Uniform Approach to Construction of Nonisothermal Models in the Theory of Constitutive Relations....Pages 341-352
Front Matter....Pages 339-339
Active Near-Wall Flow Control via a Cross Groove with Suction....Pages 353-367
A Numerical Study of Solitary Wave Interactions with a Bottom Step....Pages 369-387

✦ Subjects

Theoretical and Applied Mechanics; Mathematical Applications in the Physical Sciences; Mathematical Methods in Physics; Computer Applications in Chemistry; Computer Appl. in Life Sciences