On the Steady Motion of a Coupled System Solid-Liquid

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Release : 2013-10-23
Genre : Mathematics
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Book Rating : 734/5 ( reviews)

On the Steady Motion of a Coupled System Solid-Liquid - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook On the Steady Motion of a Coupled System Solid-Liquid write by Josef Bemelmans. This book was released on 2013-10-23. On the Steady Motion of a Coupled System Solid-Liquid available in PDF, EPUB and Kindle. We study the unconstrained (free) motion of an elastic solid B in a Navier-Stokes liquid L occupying the whole space outside B, under the assumption that a constant body force b is acting on B. More specifically, we are interested in the steady motion of the coupled system {B,L}, which means that there exists a frame with respect to which the relevant governing equations possess a time-independent solution. We prove the existence of such a frame, provided some smallness restrictions are imposed on the physical parameters, and the reference configuration of B satisfies suitable geometric properties.

Effective Hamiltonians for Constrained Quantum Systems

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Release : 2014-06-05
Genre : Mathematics
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Book Rating : 897/5 ( reviews)

Effective Hamiltonians for Constrained Quantum Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Effective Hamiltonians for Constrained Quantum Systems write by Jakob Wachsmuth. This book was released on 2014-06-05. Effective Hamiltonians for Constrained Quantum Systems available in PDF, EPUB and Kindle. The authors consider the time-dependent Schrödinger equation on a Riemannian manifold with a potential that localizes a certain subspace of states close to a fixed submanifold . When the authors scale the potential in the directions normal to by a parameter , the solutions concentrate in an -neighborhood of . This situation occurs for example in quantum wave guides and for the motion of nuclei in electronic potential surfaces in quantum molecular dynamics. The authors derive an effective Schrödinger equation on the submanifold and show that its solutions, suitably lifted to , approximate the solutions of the original equation on up to errors of order at time . Furthermore, the authors prove that the eigenvalues of the corresponding effective Hamiltonian below a certain energy coincide up to errors of order with those of the full Hamiltonian under reasonable conditions.

Automorphisms of Manifolds and Algebraic $K$-Theory: Part III

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Release : 2014-08-12
Genre : Mathematics
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Book Rating : 81X/5 ( reviews)

Automorphisms of Manifolds and Algebraic $K$-Theory: Part III - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Automorphisms of Manifolds and Algebraic $K$-Theory: Part III write by Michael S. Weiss. This book was released on 2014-08-12. Automorphisms of Manifolds and Algebraic $K$-Theory: Part III available in PDF, EPUB and Kindle. The structure space of a closed topological -manifold classifies bundles whose fibers are closed -manifolds equipped with a homotopy equivalence to . The authors construct a highly connected map from to a concoction of algebraic -theory and algebraic -theory spaces associated with . The construction refines the well-known surgery theoretic analysis of the block structure space of in terms of -theory.

Applied Mechanics Reviews

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Release : 1968
Genre : Mechanics, Applied
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Applied Mechanics Reviews - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Applied Mechanics Reviews write by . This book was released on 1968. Applied Mechanics Reviews available in PDF, EPUB and Kindle.

Fluid-Solid Interaction Dynamics

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Release : 2019-08-30
Genre : Technology & Engineering
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Book Rating : 530/5 ( reviews)

Fluid-Solid Interaction Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Fluid-Solid Interaction Dynamics write by Jing Tang Xing. This book was released on 2019-08-30. Fluid-Solid Interaction Dynamics available in PDF, EPUB and Kindle. Fluid-Solid Interaction Dynamics: Theory, Variational Principles, Numerical Methods and Applications gives a comprehensive accounting of fluid-solid interaction dynamics, including theory, numerical methods and their solutions for various FSI problems in engineering. The title provides the fundamental theories, methodologies and results developed in the application of FSI dynamics. Four numerical approaches that can be used with almost all integrated FSI systems in engineering are presented. Methods are linked with examples to illustrate results. In addition, numerical results are compared with available experiments or numerical data in order to demonstrate the accuracy of the approaches and their value to engineering applications. The title gives readers the state-of-the-art in theory, variational principles, numerical modeling and applications for fluid-solid interaction dynamics. Readers will be able to independently formulate models to solve their engineering FSI problems using information from this book. - Presents the state-of-the-art in fluid-solid interaction dynamics, providing theory, method and results - Takes an integrated approach to formulate, model and simulate FSI problems in engineering - Illustrates results with concrete examples - Gives four numerical approaches and related theories that are suitable for almost all integrated FSI systems - Provides the necessary information for bench scientists to independently formulate, model, and solve physical FSI problems in engineering