Lie S Structural Approach To Pde Systems
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Lie S Structural Approach To Pde Systems
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Author : Olle Stormark
language : en
Publisher:
Release Date : 1998
Lie S Structural Approach To Pde Systems written by Olle Stormark and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.
Lie S Structural Approach To Pde Systems
DOWNLOAD
Author : Olle Stormark
language : en
Publisher:
Release Date : 1998
Lie S Structural Approach To Pde Systems written by Olle Stormark and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.
Lie S Structural Approach To Pde Systems
DOWNLOAD
Author : Olle Stormark
language : en
Publisher:
Release Date : 1998
Lie S Structural Approach To Pde Systems written by Olle Stormark and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.
Lie S Structural Approach To Pde Systems
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Author : Olle Stormark
language : en
Publisher: Cambridge University Press
Release Date : 2000-06-15
Lie S Structural Approach To Pde Systems written by Olle Stormark and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-06-15 with Mathematics categories.
Here is a lucid and comprehensive introduction to the differential geometric study of partial differential equations (PDE). The first book to present substantial results on local solvability of general and nonlinear PDE systems without using power series techniques, it describes a general approach to PDE systems based on ideas developed by Lie, Cartan and Vessiot. The central theme is the exploitation of singular vector field systems and their first integrals. These considerations naturally lead to local Lie groups, Lie pseudogroups and the equivalence problem, all of which are covered in detail. This book will be a valuable resource for graduate students and researchers in partial differential equations, Lie groups and related fields.
Symmetries And Overdetermined Systems Of Partial Differential Equations
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Author : Michael Eastwood
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-04-23
Symmetries And Overdetermined Systems Of Partial Differential Equations written by Michael Eastwood 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 2009-04-23 with Mathematics categories.
This three-week summer program considered the symmetries preserving various natural geometric structures. There are two parts to the proceedings. The articles in the first part are expository but all contain significant new material. The articles in the second part are concerned with original research. All articles were thoroughly refereed and the range of interrelated work ensures that this will be an extremely useful collection.
Symmetries And Related Topics In Differential And Difference Equations
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Author : David Blázquez-Sanz
language : en
Publisher: American Mathematical Soc.
Release Date : 2011
Symmetries And Related Topics In Differential And Difference Equations written by David Blázquez-Sanz and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
The papers collected here discuss topics such as Lie symmetries, equivalence transformations and differential invariants, group theoretical methods in linear equations, and the development of some geometrical methods in theoretical physics. The reader will find new results in symmetries of differential and difference equations, applications in classical and quantum mechanics, two fundamental problems of theoretical mechanics, and the mathematical nature of time in Lagrangian mechanics.
Differential Equations Geometry Symmetries And Integrability
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Author : Boris Kruglikov
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-07-24
Differential Equations Geometry Symmetries And Integrability written by Boris Kruglikov 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 2009-07-24 with Mathematics categories.
The Abel Symposium 2008 focused on the modern theory of differential equations and their applications in geometry, mechanics, and mathematical physics. Following the tradition of Monge, Abel and Lie, the scientific program emphasized the role of algebro-geometric methods, which nowadays permeate all mathematical models in natural and engineering sciences. The ideas of invariance and symmetry are of fundamental importance in the geometric approach to differential equations, with a serious impact coming from the area of integrable systems and field theories. This volume consists of original contributions and broad overview lectures of the participants of the Symposium. The papers in this volume present the modern approach to this classical subject.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2008
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
Control Of Higher Dimensional Pdes
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Author : Thomas Meurer
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-08-13
Control Of Higher Dimensional Pdes written by Thomas Meurer 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 2012-08-13 with Technology & Engineering categories.
This monograph presents new model-based design methods for trajectory planning, feedback stabilization, state estimation, and tracking control of distributed-parameter systems governed by partial differential equations (PDEs). Flatness and backstepping techniques and their generalization to PDEs with higher-dimensional spatial domain lie at the core of this treatise. This includes the development of systematic late lumping design procedures and the deduction of semi-numerical approaches using suitable approximation methods. Theoretical developments are combined with both simulation examples and experimental results to bridge the gap between mathematical theory and control engineering practice in the rapidly evolving PDE control area. The text is divided into five parts featuring: - a literature survey of paradigms and control design methods for PDE systems - the first principle mathematical modeling of applications arising in heat and mass transfer, interconnected multi-agent systems, and piezo-actuated smart elastic structures - the generalization of flatness-based trajectory planning and feedforward control to parabolic and biharmonic PDE systems defined on general higher-dimensional domains - an extension of the backstepping approach to the feedback control and observer design for parabolic PDEs with parallelepiped domain and spatially and time varying parameters - the development of design techniques to realize exponentially stabilizing tracking control - the evaluation in simulations and experiments Control of Higher-Dimensional PDEs — Flatness and Backstepping Designs is an advanced research monograph for graduate students in applied mathematics, control theory, and related fields. The book may serve as a reference to recent developments for researchers and control engineers interested in the analysis and control of systems governed by PDEs.
Symmetry And Perturbation Theory Proceedings Of The International Conference On Spt2007
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Author : Giuseppe Gaeta
language : en
Publisher: World Scientific
Release Date : 2007-11-12
Symmetry And Perturbation Theory Proceedings Of The International Conference On Spt2007 written by Giuseppe Gaeta and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-11-12 with Science categories.
This proceedings volume is devoted to the interplay of symmetry and perturbation theory, as well as to cognate fields such as integrable systems, normal forms, n-body dynamics and choreographies, geometry and symmetry of differential equations, and finite and infinite dimensional dynamical systems. The papers collected here provide an up-to-date overview of the research in the field, and have many leading scientists in the field among their authors, including: D Alekseevsky, S Benenti, H Broer, A Degasperis, M E Fels, T Gramchev, H Hanssmann, J Krashil'shchik, B Kruglikov, D Krupka, O Krupkova, S Lombardo, P Morando, O Morozov, N N Nekhoroshev, F Oliveri, P J Olver, J A Sanders, M A Teixeira, S Terracini, F Verhulst, P Winternitz, B Zhilinskii.