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Title Modern mathematics and mechanics : fundamentals, problems and challenges / Victor A. Sadovnichiy, Michael Z. Zgurovsky, editors
Published Cham, Switzerland : Springer, 2019

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Description 1 online resource (xxii, 557 pages) : illustrations (some color)
Series Understanding complex systems, 1860-0832
Springer complexity
Understanding complex systems, 1860-0832
Springer complexity.
Contents From the content: Part I Differential Geometry -- Three-dimensional Manifolds of Constant Energy and Invariants of Integrable Hamiltonian Systems -- Convergence Almost Everywhere of Orthorecursive Expansions in Systems of Translates and Dilates -- Topological entropy on non compact sets -- Global Attractors of Multi-valued Impulsive Dynamical Systems: Existence, Invariance and Robustness -- Part II Solid Mechanics -- Procedure of the Galerkin Representation in Transversely Isotropic Elasticity -- Multicomponent Shallow Water System and Two-dimensional ShockWaves -- Asymptotic Behavior of State Functions for Budyko Model with Nonlinear Principal Part on Manifold without Boundary -- Modification Hydrodynamic and Acoustic Fields Generated by a Cavity with Fluid Suction -- Numerical Modeling the Wing Aerodynamics at Angle-of-attack at Low Reynolds Numbers -- Part III Dynamics of Differential and Difference Equations and Applications
Summary In this book international expert authors provide solutions for modern fundamental problems including the complexity of computing of critical points for set-valued mappings, the behaviour of solutions of ordinary differential equations, partial differential equations and difference equations, or the development of an abstract theory of global attractors for multi-valued impulsive dynamical systems. These abstract mathematical approaches are applied to problem-solving in solid mechanics, hydro- and aerodynamics, optimization, decision making theory and control theory. This volume is therefore relevant to mathematicians as well as engineers working at the interface of these fields
Bibliography Includes bibliographical references
Notes Online resource; title from PDF title page (SpringerLink, viewed December 10, 2018)
Subject Mathematics.
Mechanics.
Mathematics
Mechanics
mechanics (physics)
Mathematics
Mechanics
Form Electronic book
Author Sadovnichiĭ, V. A. (Viktor Antonovich), editor.
Zhurovsʹkyĭ, M. Z. (Mykhaĭlo Zakharovych), editor
ISBN 9783319967554
331996755X