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Nonlinear Dynamics and Renormalization Group
  • Language: en
  • Pages: 202

Nonlinear Dynamics and Renormalization Group

This book contains the proceedings from the workshop, Nonlinear Dynamics and Renormalization Group, held at the Centre de recherches mathématiques (CRM) in Montréal (Canada), as part of the year-long program devoted to mathematical physics. In the book, active researchers in the fields of nonlinear partial differential equations and renormalization group contribute recent results on topics such as Ginzburg-Landau equations and blow-up of solutions of the nonlinear Schroedinger equations, quantum resonances, and renormalization group analysis in constructive quantum field theory. This volume offers the latest research in the rapidly developing fields of nonlinear equations and renormalization group.

Differential Equations and Dynamical Systems
  • Language: en
  • Pages: 376

Differential Equations and Dynamical Systems

This volume contains contributed papers authored by participants of a Conference on Differential Equations and Dynamical Systems which was held at the Instituto Superior Tecnico (Lisbon, Portugal). The conference brought together a large number of specialists in the area of differential equations and dynamical systems and provided an opportunity to celebrate Professor Waldyr Oliva's 70th birthday, honoring his fundamental contributions to the field. The volume constitutes anoverview of the current research over a wide range of topics, extending from qualitative theory for (ordinary, partial or functional) differential equations to hyperbolic dynamics and ergodic theory.

Trends in Nonlinear Analysis
  • Language: en
  • Pages: 427

Trends in Nonlinear Analysis

Applied mathematics is a central connecting link between scientific observations and their theoretical interpretation. Nonlinear analysis has surely contributed major developments which nowadays shape the face of applied mathematics. At the beginning of the millennium, all sciences are expanding at increased speed. Technological, ecological, economical and medical problem solving is a central issue of every modern society. Mathematical models help to expose fundamental structures hidden in these problems and serve as unifying tools to deepen our understanding. What are the new challenges applied mathematics has to face with the increased diversity of scientific problems? In which direction should the classical tools of nonlinear analysis be developed further? How do new available technologies influence the development of the field? How can problems be solved which have been beyond reach in former times? It is the aim of this book to explore new developments in the field by way of discussion of selected topics from nonlinear analysis.

The Forgotten Revolution
  • Language: en
  • Pages: 490

The Forgotten Revolution

The period from the late fourth to the late second century B. C. witnessed, in Greek-speaking countries, an explosion of objective knowledge about the external world. WhileGreek culture had reached great heights in art, literature and philosophyalreadyin the earlier classical era, it is in the so-called Hellenistic period that we see for the ?rst time — anywhere in the world — the appearance of science as we understand it now: not an accumulation of facts or philosophically based speculations, but an or- nized effort to model nature and apply such models, or scienti?ctheories in a sense we will make precise, to the solution of practical problems and to a growing understanding of nature. ...

Scientific and Technical Aerospace Reports
  • Language: en
  • Pages: 1160

Scientific and Technical Aerospace Reports

  • Type: Book
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  • Published: 1986
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  • Publisher: Unknown

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Geometric Mechanics
  • Language: en
  • Pages: 277

Geometric Mechanics

  • Type: Book
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  • Published: 2004-10-23
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  • Publisher: Springer

Geometric Mechanics here means mechanics on a pseudo-riemannian manifold and the main goal is the study of some mechanical models and concepts, with emphasis on the intrinsic and geometric aspects arising in classical problems. The first seven chapters are written in the spirit of Newtonian Mechanics while the last two ones as well as two of the four appendices describe the foundations and some aspects of Special and General Relativity. All the material has a coordinate free presentation but, for the sake of motivation, many examples and exercises are included in order to exhibit the desirable flavor of physical applications.

Dynamic Response and Failure of Composite Materials
  • Language: en
  • Pages: 422

Dynamic Response and Failure of Composite Materials

This book gathers the latest advances and innovations in the field of dynamic loads and testing of composite materials and sandwich structures, as presented by international researchers and engineers at the International Symposium on Dynamic Response and Failure of Composite Materials (DRAF), held in Ischia, Italy, on June 21–24, 2022. Contributions include a wide range of topics such as low and high velocity impacts, smart composites, hull slamming, shock and blast, hail and bird impact, damage resistance and tolerance, failure mechanisms, composite structures, delamination and fractures, progressive damage modeling, micromechanics, ballistic impacts, ceramic and CMC, auxetic materials and structures, additive manufacturing, crashworthiness, green composites, and structural health monitoring.

Dynamics of Infinite Dimensional Systems
  • Language: en
  • Pages: 509

Dynamics of Infinite Dimensional Systems

The 1986 NATO Advanced Study Insti tute on Dynamics of Infini te Dimensional Systems was held at the Instituto Superior Tecnico. Lisbon. Portugal. In recent years. there have been several research workers who have been considering partial differential equations and functional differential equations as dynamical systems on function spaces. Such approaches have led to the formulation of more theoretical problems that need to be investigated. In the applications. the theoretical ideas have contributed significantly to a better understanding of phenomena that have been experimentally and computationally observed. The investigators of this development come wi th several different backgrounds - so...

Attractors Under Autonomous and Non-autonomous Perturbations
  • Language: en
  • Pages: 259

Attractors Under Autonomous and Non-autonomous Perturbations

This book provides a comprehensive study of how attractors behave under perturbations for both autonomous and non-autonomous problems. Furthermore, the forward asymptotics of non-autonomous dynamical systems is presented here for the first time in a unified manner. When modelling real world phenomena imprecisions are unavoidable. On the other hand, it is paramount that mathematical models reflect the modelled phenomenon, in spite of unimportant neglectable influences discounted by simplifications, small errors introduced by empirical laws or measurements, among others. The authors deal with this issue by investigating the permanence of dynamical structures and continuity properties of the at...

Kaisertum und Kalifat
  • Language: de
  • Pages: 649

Kaisertum und Kalifat

»Trennung von Staat und Kirche im Okzident« versus »Verschmelzung von Politik und Religion in Byzanz und im Islam«: Mit diesen Attributen beschrieb man bislang häufig die globalgeschichtlichen Unterschiede zwischen Europa und dem Nahen Osten im Mittelalter. Almut Höfert wendet sich gegen diese tradierte Vorstellung. In einem Bogen von der Spätantike bis zum Hochmittelalter befasst sie sich mit der Frage, wie das moderne, eurozentristische Konzept von Religion auf vormoderne Verhältnisse angewendet werden kann. Ihre zentrale These lautet: Das römisch-byzantinische Kaisertum, das umayyadisch-abbasidische Kalifat sowie die karolingisch-ottonische Kaiserherrschaft und das Papsttum entwickelten das spätantike Herrschaftsprinzip des imperialen Monotheismus in verschiedenen, konfliktträchtigen Varianten weiter. Karl der Große erscheint in dieser Perspektive nicht als der Begründer eines einzigartigen Europas, sondern – gemeinsam mit den Kalifen – in der Tradition der Spätantike.