Modern Mathematics and Mechanics : Fundamentals, Problems and Challenges

著者名：Sadovnichiy, Victor A. (EDT)/Zgurovsky, Michael Z. (EDT)

Springer（2018/11/29発売）

• 言語：ENG
• ISBN：9783319967547
• eISBN：9783319967554

Description

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.

Table of 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.