Proceedings of the Workshop Variational and Local Methods in the Study of Hamiltonian Systems
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Published: 1995
Total Pages:
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Published: 1995
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DOWNLOAD EBOOKAuthor: Antonio Ambrosetti
Publisher: World Scientific
Published: 1995-09-30
Total Pages: 224
ISBN-13: 9814548340
DOWNLOAD EBOOKIn this volume, various ideas about Hamiltonian dynamics were discussed. Particular emphasis was placed on mechanical systems with singular potentials (such as the N-Body Newtonian problem) and on their special features, although important aspects of smooth dynamics were also discussed, from both the local point of view and the point of view of global analysis.
Author: International Centre for Theoretical Physics
Publisher: World Scientific Publishing Company Incorporated
Published: 1995
Total Pages: 211
ISBN-13: 9789810224905
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Published: 1995
Total Pages:
ISBN-13: 9789814531658
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Published: 1993
Total Pages: 6
ISBN-13:
DOWNLOAD EBOOKAuthor: Vladimir I. Arnold
Publisher: Springer Science & Business Media
Published: 2007-07-05
Total Pages: 505
ISBN-13: 3540489266
DOWNLOAD EBOOKThe main purpose of the book is to acquaint mathematicians, physicists and engineers with classical mechanics as a whole, in both its traditional and its contemporary aspects. As such, it describes the fundamental principles, problems, and methods of classical mechanics, with the emphasis firmly laid on the working apparatus, rather than the physical foundations or applications. Chapters cover the n-body problem, symmetry groups of mechanical systems and the corresponding conservation laws, the problem of the integrability of the equations of motion, the theory of oscillations and perturbation theory.
Author: Boling Guo
Publisher: World Scientific
Published: 1998-10-30
Total Pages: 267
ISBN-13: 9814544264
DOWNLOAD EBOOKContents: Direct and Inverse Diffraction by Periodic Structures (G Bao)Weak Flow of H-Systems (Y-M Chen)Strongly Compact Attractor for Dissipative Zakharov Equations (B-L Guo et al.)C∞-Solutions of Generalized Porous Medium Equations (M Ôtani & Y Sugiyama)Cauchy Problem for Generalized IMBq Equation (G-W Chen & S-B Wang)Inertial Manifolds for a Nonlocal Kuramoto–Sivashinsky Equation (J-Q Duan et al.)Weak Solutions of the Generalized Magnetic Flow Equations (S-H He & Z-D Dai)The Solution of Hammerstein Integral Equation Without Coercive Conditions (Y-L Shu)Global Behaviour of the Solution of Nonlinear Forest Evolution Equation (D-J Wang)Uniqueness of Generalized Solutions for Semiconductor Equations (J-S Xing & Y Hu)On the Vectorial Hamilton–Jacobi System (B-S Yan)An Integrable Hamiltonian System Associated with cKdV Hierarchy (J-S Zhang et al.)and other papers Readership: Mathematicians. Keywords:Diffraction;Weak Flow;Zakharov Equations;Porous Medium Equations;Cauchy Problem;IMBq Equation;Kuramoto-Sivashinsky Equation;Magnetic Flow Equations;Hammerstein Integral Equation;Nonlinear Forest Evolution Equation;Uniqueness;Generalized Solutions;Semiconductor Equations;HamiltonâJacobi System;Hamiltonian System;cKdV Hierarchy
Author: Martin Schechter
Publisher: Springer Nature
Published: 2020-05-30
Total Pages: 347
ISBN-13: 303045603X
DOWNLOAD EBOOKThis monograph collects cutting-edge results and techniques for solving nonlinear partial differential equations using critical points. Including many of the author’s own contributions, a range of proofs are conveniently collected here, Because the material is approached with rigor, this book will serve as an invaluable resource for exploring recent developments in this active area of research, as well as the numerous ways in which critical point theory can be applied. Different methods for finding critical points are presented in the first six chapters. The specific situations in which these methods are applicable is explained in detail. Focus then shifts toward the book’s main subject: applications to problems in mathematics and physics. These include topics such as Schrödinger equations, Hamiltonian systems, elliptic systems, nonlinear wave equations, nonlinear optics, semilinear PDEs, boundary value problems, and equations with multiple solutions. Readers will find this collection of applications convenient and thorough, with detailed proofs appearing throughout. Critical Point Theory will be ideal for graduate students and researchers interested in solving differential equations, and for those studying variational methods. An understanding of fundamental mathematical analysis is assumed. In particular, the basic properties of Hilbert and Banach spaces are used.
Author: Mario Girardi
Publisher:
Published: 1992
Total Pages: 208
ISBN-13:
DOWNLOAD EBOOKThis research note gives a comprehensive account of the use of variational methods in the study of Hamiltonian systems and elliptic equations.