Nonlinear Problems In Theoretical Physics

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Nonlinear Problems In Theoretical Physics

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Author : A. F. Ranada
language : en
Publisher: Springer
Release Date : 1979-06

Nonlinear Problems In Theoretical Physics written by A. F. Ranada and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979-06 with Science categories.

Nonlinear Problems Of Elasticity

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Author : Stuart Antman
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Nonlinear Problems Of Elasticity written by Stuart Antman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.

The scientists of the seventeenth and eighteenth centuries, led by Jas. Bernoulli and Euler, created a coherent theory of the mechanics of strings and rods undergoing planar deformations. They introduced the basic con cepts of strain, both extensional and flexural, of contact force with its com ponents of tension and shear force, and of contact couple. They extended Newton's Law of Motion for a mass point to a law valid for any deformable body. Euler formulated its independent and much subtler complement, the Angular Momentum Principle. (Euler also gave effective variational characterizations of the governing equations. ) These scientists breathed life into the theory by proposing, formulating, and solving the problems of the suspension bridge, the catenary, the velaria, the elastica, and the small transverse vibrations of an elastic string. (The level of difficulty of some of these problems is such that even today their descriptions are sel dom vouchsafed to undergraduates. The realization that such profound and beautiful results could be deduced by mathematical reasoning from fundamental physical principles furnished a significant contribution to the intellectual climate of the Age of Reason. ) At first, those who solved these problems did not distinguish between linear and nonlinear equations, and so were not intimidated by the latter. By the middle of the nineteenth century, Cauchy had constructed the basic framework of three-dimensional continuum mechanics on the founda tions built by his eighteenth-century predecessors.

Nonlinear Problems In Mathematical Physics And Related Topics I

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Author : Michael Sh. Birman
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-07-31

Nonlinear Problems In Mathematical Physics And Related Topics I written by Michael Sh. Birman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-07-31 with Mathematics categories.

The new series, International Mathematical Series founded by Kluwer / Plenum Publishers and the Russian publisher, Tamara Rozhkovskaya is published simultaneously in English and in Russian and starts with two volumes dedicated to the famous Russian mathematician Professor Olga Aleksandrovna Ladyzhenskaya, on the occasion of her 80th birthday. O.A. Ladyzhenskaya graduated from the Moscow State University. But throughout her career she has been closely connected with St. Petersburg where she works at the V.A. Steklov Mathematical Institute of the Russian Academy of Sciences. Many generations of mathematicians have become familiar with the nonlinear theory of partial differential equations reading the books on quasilinear elliptic and parabolic equations written by O.A. Ladyzhenskaya with V.A. Solonnikov and N.N. Uraltseva. Her results and methods on the Navier-Stokes equations, and other mathematical problems in the theory of viscous fluids, nonlinear partial differential equations and systems, the regularity theory, some directions of computational analysis are well known. So it is no surprise that these two volumes attracted leading specialists in partial differential equations and mathematical physics from more than 15 countries, who present their new results in the various fields of mathematics in which the results, methods, and ideas of O.A. Ladyzhenskaya played a fundamental role. Nonlinear Problems in Mathematical Physics and Related Topics I presents new results from distinguished specialists in the theory of partial differential equations and analysis. A large part of the material is devoted to the Navier-Stokes equations, which play an important role in the theory of viscous fluids. In particular, the existence of a local strong solution (in the sense of Ladyzhenskaya) to the problem describing some special motion in a Navier-Stokes fluid is established. Ladyzhenskaya's results on axially symmetric solutions to the Navier-Stokes fluid are generalized and solutions with fast decay of nonstationary Navier-Stokes equations in the half-space are stated. Application of the Fourier-analysis to the study of the Stokes wave problem and some interesting properties of the Stokes problem are presented. The nonstationary Stokes problem is also investigated in nonconvex domains and some Lp-estimates for the first-order derivatives of solutions are obtained. New results in the theory of fully nonlinear equations are presented. Some asymptotics are derived for elliptic operators with strongly degenerated symbols. New results are also presented for variational problems connected with phase transitions of means in controllable dynamical systems, nonlocal problems for quasilinear parabolic equations, elliptic variational problems with nonstandard growth, and some sufficient conditions for the regularity of lateral boundary. Additionally, new results are presented on area formulas, estimates for eigenvalues in the case of the weighted Laplacian on Metric graph, application of the direct Lyapunov method in continuum mechanics, singular perturbation property of capillary surfaces, partially free boundary problem for parametric double integrals.

Nonlinear Problems In Mathematical Physics And Related Topics

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Author : Michael Sh. Birman
language : en
Publisher: Springer Science & Business Media
Release Date : 2002

Nonlinear Problems In Mathematical Physics And Related Topics written by Michael Sh. Birman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.

The main topics in this volume reflect the fields of mathematics in which Professor O.A. Ladyzhenskaya obtained her most influential results. One of the main topics considered is the set of Navier-Stokes equations and their solutions.

Nonclassical Thermoelastic Problems In Nonlinear Dynamics Of Shells

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Author : Jan Awrejcewicz
language : en
Publisher: Springer Science & Business Media
Release Date : 2003

Nonclassical Thermoelastic Problems In Nonlinear Dynamics Of Shells written by Jan Awrejcewicz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Computers categories.

From the reviews: "A unique feature of this book is the nice blend of engineering vividness and mathematical rigour. [...] The authors are to be congratulated for their valuable contribution to the literature in the area of theoretical thermoelasticity and vibration of plates." Journal of Sound and Vibration

Adjoint Equations And Perturbation Algorithms In Nonlinear Problems

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Author : Guri I. Marchuk
language : en
Publisher: CRC Press
Release Date : 2018-04-24

Adjoint Equations And Perturbation Algorithms In Nonlinear Problems written by Guri I. Marchuk and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-24 with Mathematics categories.

Sparked by demands inherent to the mathematical study of pollution, intensive industry, global warming, and the biosphere, Adjoint Equations and Perturbation Algorithms in Nonlinear Problems is the first book ever to systematically present the theory of adjoint equations for nonlinear problems, as well as their application to perturbation algorithms. This new approach facilitates analysis of observational data, the application of adjoint equations to retrospective study of processes governed by imitation models, and the study of computer models themselves. Specifically, the book discusses: Principles for constructing adjoint operators in nonlinear problems Properties of adjoint operators and solvability conditions for adjoint equations Perturbation algorithms using the adjoint equations theory for nonlinear problems in transport theory, quasilinear motion, substance transfer, and nonlinear data assimilation Known results on adjoint equations and perturbation algorithms in nonlinear problems This groundbreaking text contains some results that have no analogs in the scientific literature, opening unbounded possibilities in construction and application of adjoint equations to nonlinear problems of mathematical physics.

Elastic And Thermoelastic Problems In Nonlinear Dynamics Of Structural Members

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Author : Jan Awrejcewicz
language : en
Publisher: Springer Nature
Release Date : 2020-04-06

Elastic And Thermoelastic Problems In Nonlinear Dynamics Of Structural Members written by Jan Awrejcewicz and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-06 with Science categories.

From the reviews: "A unique feature of this book is the nice blend of engineering vividness and mathematical rigour. [...] The authors are to be congratulated for their valuable contribution to the literature in the area of theoretical thermoelasticity and vibration of plates." Journal of Sound and Vibration

Nonlinear Problems In Theoretical Physics Proceedings Of The 9 Gift International Seminar On Theoretical Physics Jaca Huesca 1978

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Author :
language : en
Publisher:
Release Date : 1979

Nonlinear Problems In Theoretical Physics Proceedings Of The 9 Gift International Seminar On Theoretical Physics Jaca Huesca 1978 written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Mathematical physics categories.

Library Of Congress Subject Headings

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Author : Library of Congress
language : en
Publisher:
Release Date : 2013

Library Of Congress Subject Headings written by Library of Congress and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Subject headings, Library of Congress categories.

Library Of Congress Subject Headings

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Author : Library of Congress. Cataloging Policy and Support Office
language : en
Publisher:
Release Date : 2009

Library Of Congress Subject Headings written by Library of Congress. Cataloging Policy and Support Office and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Subject headings, Library of Congress categories.