Contemporary approaches and methods in fundamental mathematics and mechanics
First Statement of Responsibility
edited by Victor A. Sadovnichiy, Michael Z. Zgurovsky.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Cham, Switzerland
Name of Publisher, Distributor, etc.
Springer
Date of Publication, Distribution, etc.
2021
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xviii, 522 p.
SERIES
Series Title
Springer complexity.
Series Title
Understanding complex systems.
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references.
CONTENTS NOTE
Text of Note
Saddle Singularities in Integrable Hamiltonian Systems: Examples and Algorithms -- Reduction of the Lameþ Tensor Equations to the System of Non-Coupled Tetraharmonic Equations -- Junction Flow around Cylinder Group on Flat Platee -- Accounting for Shear Deformation in the Problem of Vibrations and Dissipative Heating of Flexible Viscoelastic Structural Element with Piezoelectric Sensor and Actuator -- A Stochastic Theory of Scale-Structural Fatigue and Structure Durability at Operational Loading -- On Tikhonov Regularization of Optimal Distributed Control Problem for an Ill-Posed Elliptic Equation with p-Laplace Operator and L1-type of Non-Linearity -- Symmetries and Conservation Laws of the Equations of Two-Dimensional Shallow Water over Uneven Bottom -- xistence and Stability Analysis of Solutions for an Ultradian Glucocorticoid Rhythmicity and Acute Stress Model -- Mixed Dirichlet-Transmission Problems in Non-Smooth Domains
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SUMMARY OR ABSTRACT
Text of Note
This book focuses on the latest approaches and methods in fundamental mathematics and mechanics, and discusses the practical application of abstract mathematical approaches, such as differential geometry, and differential and difference equations in solid mechanics, hydrodynamics, aerodynamics, optimization, decision-making theory and control theory. Featuring selected contributions to the open seminar series of Lomonosov Moscow State University and Igor Sikorsky Kyiv Polytechnic Institute by mathematicians from China, Germany, France, Italy, Spain, Russia, Ukraine and the USA, the book will appeal to mathematicians and engineers working at the interface of these fields