Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions, Kaltenbacher

Автор: Samoilenko Anatoly M
Название: Elements of Mathematical Theory of Evolutionary Equations in
ISBN: 9814434825 ISBN-13(EAN): 9789814434829
Издательство: World Scientific Publishing
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Описание: Evolutionary equations are studied in abstract Banach spaces and in spaces of bounded number sequences. For linear and nonlinear difference equations, which are defined on finite-dimensional and infinite-dimensional tori, the problem of reducibility is solved, in particular, in neighborhoods of their invariant sets, and the basics for a theory of invariant tori and bounded semi-invariant manifolds are established. Also considered are the questions on existence and approximate construction of periodic solutions for difference equations in infinite-dimensional spaces and the problem of extendibility of the solutions in degenerate cases. For nonlinear differential equations in spaces of bounded number sequences, new results are obtained in the theory of countable-point boundary-value problems.The book contains new mathematical results that will be useful towards advances in nonlinear mechanics and theoretical physics.

Автор: Thomas Richter
Название: Fluid-structure Interactions
ISBN: 3319639692 ISBN-13(EAN): 9783319639697
Издательство: Springer
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Описание: This book starts by introducing the fundamental concepts of mathematical continuum mechanics for fluids and solids and their coupling. Special attention is given to the derivation of variational formulations for the subproblems describing fluid- and solid-mechanics as well as the coupled fluid-structure interaction problem.