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TitleModern Mathematics and Mechanics [electronic resource] : Fundamentals, Problems and Challenges / edited by Victor A. Sadovnichiy, Michael Z. Zgurovsky
ImprintCham : Springer International Publishing : Imprint: Springer, 2019
Edition 1st ed. 2019
Connect tohttps://doi.org/10.1007/978-3-319-96755-4
Descript XXII, 557 p. 65 illus., 32 illus. in color. online resource

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


CONTENT

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


Engineering mathematics Systems theory Vibration Global differential geometry Engineering Mathematics. http://scigraph.springernature.com/things/product-market-codes/T11030 Systems Theory Control. http://scigraph.springernature.com/things/product-market-codes/M13070 Vibration Dynamical Systems Control. http://scigraph.springernature.com/things/product-market-codes/T15036 Differential Geometry. http://scigraph.springernature.com/things/product-market-codes/M21022



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