Modern Mathematics and Mechanics: Fundamentals, Problems and Challenges

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.