Continuous and Distributed Systems II: Theory and Applications

ISBN-13: 9783319190747 / Angielski / Twarda / 2015 / 387 str.

Viktor A. Sadovnichiy; Mikhail Z. Zgurovsky

Opis

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.

Spis treści

Part I Applied Methods of Modern Algebra and Analysis.- The Absolute Stability of Orthorecursive Expansions in Redundant Systems of Subspaces.- Topological Classification of Geodesic Flows on Revolution 2-Surfaces with Potential.- Multiplicative and Additive Problems of Partitions of Natural Numbers.- Critical Analysis of Amino Acids and Polypeptides Geometry.- On the Riemann’s Problem for one Nonstrictly Hyperbolic System.- Part II Non-autonomous and Stochastic Dynamical Systems.- Dynamics of Non-autonomous Chemostat Models.- Asymptotic Dynamics of Stochastic Lattice Differential Equations: A Review.- A Generalized Cahn-Hilliard Equation with Logarithmic Potentials.- Attractors for Multivalued Processes with Weak Continuity Properties.- L´evy–areas of Ornstein–Uhlenbeck processes in Hilbert–spaces.- Periodic and Almost Periodic Random Inertial Manifolds for Non-Autonomous Stochastic Equations.- Some Properties for Exact Generalized Processes.- Uniform Trajectory Attractors for Nonautonomous Dissipative Dynamical Systems.- Lyapunov Functions for Differential Inclusions and Applications in Physics, Biology and Climatology.- Part III Optimization, Control and Decision Sciences for Continuum Mechanics Problems.- Robust Stability, Minimax Stabilization and Maximin Testing in Problems of Semi-Automatic Control.- Dynamics of Solutions for Controlled Piezoelectric Fields with Multivalued “Reaction-Displacement” Law.- Minimax Estimates for Solutions of Parabolic-Hyperbolic Equations with Non-local Boundary Conditions.- The Optimal Control Problem for Parabolic Equation with Non-local Boundary Conditions in Circular Sector.- On the Existence of Weak Optimal Controls in the Coefficients for a Degenerate Anisotropic p-Laplacian.- Part IV Fundamental and Computational Mechanics.- Uniform Approach to Construction of Non isothermal Models in the Theory of Constitutive Relations.- Active Near-Wall Flow Control via a Cross Groove with Suction.- A Numerical Study of Solitary Wave Interactions with a Bottom Step.

O autorze

Viktor A. Sadovnichiy, Lomonosov Moscow State University, Russia; Michael Z. Zgurovsky, National Technical University of Ukraine "Kiev Polytechnic Institute", Ukraine.