Continuous and Distributed Systems II (eBook)

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

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.