feed icon rss

Ihre E-Mail wurde erfolgreich gesendet. Bitte prüfen Sie Ihren Maileingang.

Leider ist ein Fehler beim E-Mail-Versand aufgetreten. Bitte versuchen Sie es erneut.

Vorgang fortführen?

Exportieren
Filter
  • BTU Cottbus  (6)
  • UB Potsdam  (3)
  • SB Guben
  • Moses Mendelssohn Zentrum
  • Schaeffer, David G.
  • 1
    Online-Ressource
    Online-Ressource
    New York, NY : Springer
    UID:
    b3kat_BV043932577
    Umfang: 1 Online Ressource (XXX, 542 Seiten, 139 illus., 61 illus. in color)
    ISBN: 9781493963898
    Serie: Texts in applied mathematics volume 65
    Weitere Ausg.: Erscheint auch als Druck-Ausgabe ISBN 978-1-4939-6387-4
    Sprache: Englisch
    Fachgebiete: Mathematik
    RVK:
    URL: Volltext  (URL des Erstveröffentlichers)
    URL: Volltext  (lizenzpflichtig)
    URL: Volltext  (lizenzpflichtig)
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
    BibTip Andere fanden auch interessant ...
  • 2
    UID:
    b3kat_BV000815805
    Umfang: xvi, 533 Seiten , Illustrationen
    ISBN: 0387966528 , 9781461289296 , 3540966528
    Serie: Applied mathematical sciences volume 69
    In: 2
    Weitere Ausg.: Erscheint auch als Online-Ausgabe, PDF ISBN 978-1-4612-4574-2
    Sprache: Englisch
    Fachgebiete: Mathematik
    RVK:
    Schlagwort(e): Verzweigung ; Singularität ; Gruppentheorie
    Mehr zum Autor: Stewart, Ian 1945-
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
    BibTip Andere fanden auch interessant ...
  • 3
    UID:
    gbv_029304237
    Umfang: XVI, 533 S , Ill , 25 cm
    ISBN: 0387966528 , 3540966528
    Serie: Applied mathematical sciences 69
    Anmerkung: Literaturverz. S. [513] - 526
    In: Vol. 2
    Sprache: Englisch
    Fachgebiete: Mathematik
    RVK:
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
    BibTip Andere fanden auch interessant ...
  • 4
    UID:
    gbv_029304229
    Umfang: XVII, 463 S , Ill
    ISBN: 0387909990 , 3540909990
    Serie: Applied mathematical sciences 51
    Anmerkung: Literaturverz. S. [455] - 459
    In: Vol. 1
    Sprache: Englisch
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
    BibTip Andere fanden auch interessant ...
  • 5
    Online-Ressource
    Online-Ressource
    New York, NY :Springer New York :
    UID:
    almahu_9947362983302882
    Umfang: XVIII, 466 p. , online resource.
    ISBN: 9781461250340
    Serie: Applied Mathematical Sciences, 51
    Inhalt: This book has been written in a frankly partisian spirit-we believe that singularity theory offers an extremely useful approach to bifurcation prob­ lems and we hope to convert the reader to this view. In this preface we will discuss what we feel are the strengths of the singularity theory approach. This discussion then Ieads naturally into a discussion of the contents of the book and the prerequisites for reading it. Let us emphasize that our principal contribution in this area has been to apply pre-existing techniques from singularity theory, especially unfolding theory and classification theory, to bifurcation problems. Many ofthe ideas in this part of singularity theory were originally proposed by Rene Thom; the subject was then developed rigorously by John Matherand extended by V. I. Arnold. In applying this material to bifurcation problems, we were greatly encouraged by how weil the mathematical ideas of singularity theory meshed with the questions addressed by bifurcation theory. Concerning our title, Singularities and Groups in Bifurcation Theory, it should be mentioned that the present text is the first volume in a two-volume sequence. In this volume our emphasis is on singularity theory, with group theory playing a subordinate role. In Volume II the emphasis will be more balanced. Having made these remarks, Iet us set the context for the discussion of the strengths of the singularity theory approach to bifurcation. As we use the term, bifurcation theory is the study of equations with multiple solutions.
    In: Springer eBooks
    Weitere Ausg.: Printed edition: ISBN 9781461295334
    Sprache: Englisch
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
    BibTip Andere fanden auch interessant ...
  • 6
    UID:
    almahu_9947362987102882
    Umfang: XVI, 536 p. , online resource.
    ISBN: 9781461245742
    Serie: Applied Mathematical Sciences, 69
    Inhalt: Bifurcation theory studies how the structure of solutions to equations changes as parameters are varied. The nature of these changes depends both on the number of parameters and on the symmetries of the equations. Volume I discusses how singularity-theoretic techniques aid the understanding of transitions in multiparameter systems. This volume focuses on bifurcation problems with symmetry and shows how group-theoretic techniques aid the understanding of transitions in symmetric systems. Four broad topics are covered: group theory and steady-state bifurcation, equicariant singularity theory, Hopf bifurcation with symmetry, and mode interactions. The opening chapter provides an introduction to these subjects and motivates the study of systems with symmetry. Detailed case studies illustrate how group-theoretic methods can be used to analyze specific problems arising in applications.
    Anmerkung: of Volume II -- XI Introduction -- §0. Introduction -- §1. Equations with Symmetry -- §2. Techniques -- §3. Mode Interactions -- §4. Overview -- XII Group-Theoretic Preliminaries -- §0. Introduction -- §1. Group Theory -- §2. Irreducibility -- §3. Commuting Linear Mappings and Absolute Irreducibility -- §4. Invariant Functions -- §5. Nonlinear Commuting Mappings -- §6.* Proofs of Theorems in §§4 and 5 -- §7.* Tori -- XIII Symmetry-Breaking in Steady-State Bifurcation -- §0. Introduction -- §1. Orbits and Isotropy Subgroups -- §2. Fixed-Point Subspaces and the Trace Formula -- §3. The Equivariant Branching Lemma -- §4. Orbital Asymptotic Stability -- §5. Bifurcation Diagrams and DnSymmetry -- §6.† Subgroups of SO(3) -- §7.† Representations of SO(3) and O(3): Spherical Harmonics -- §8.† Symmetry-Breaking from SO(3) -- §9.† Symmetry-Breaking from O(3) -- §10.* Generic Spontaneous Symmetry-Breaking -- Case Study 4 The Planar Bénard Problem -- §0. Introduction -- §1. Discussion of the PDE -- §2. One-Dimensional Fixed-Point Subspaces -- §3. Bifurcation Diagrams and Asymptotic Stability -- XIV Equivariant Normal Forms -- §0. Introduction -- §1. The Recognition Problem -- §2.* Proof of Theorem 1.3 -- §3. Sample Computations of RT(h, ?) -- §4. Sample Recognition Problems -- §5. Linearized Stability and ?-equivalence -- §6. Intrinsic Ideals and Intrinsic Submodules -- §7. Higher Order Terms -- XV Equivariant Unfolding Theory -- §0. Introduction -- §1. Basic Definitions -- §2. The Equivariant Universal Unfolding Theorem -- §3. Sample Universal ?-unfoldings -- §4. Bifurcation with D3 Symmetry -- §5.† The Spherical Bénard Problem -- §6.† Spherical Harmonics of Order 2 -- §7.* Proof of the Equivariant Universal Unfolding Theorem -- §8.* The Equivariant Preparation Theorem -- Case Study 5 The Traction Problem for Mooney-Rivlin Material -- §0. Introduction -- §1. Reduction to D3 Symmetry in the Plane -- §2. Taylor Coefficients in the Bifurcation Equation -- §3. Bifurcations of the Rivlin Cube -- XVI Symmetry-Breaking in Hopf Bifurcation -- §0. Introduction -- §1. Conditions for Imaginary Eigenvalues -- §2. A Simple Hopf Theorem with Symmetry -- §3. The Circle Group Action -- §4. The Hopf Theorem with Symmetry -- §5. Birkhoff Normal Form and Symmetry -- §6. Floquet Theory and Asymptotic Stability -- §7. Isotropy Subgroups of ? × S1 -- §8.* Dimensions of Fixed-Point Subspaces -- §9. Invariant Theory for ? × S1 -- 10. Relationship Between Liapunov-Schmidt Reduction and Birkhoff Normal Form -- §11.* Stability in Truncated Birkhoff Normal Form -- XVII Hopf Bifurcation with O(2) Symmetry -- §0. Introduction -- §1. The Action of O(2) × S1 -- §2. Invariant Theory for O(2) × S1 -- §3. The Branching Equations -- §4. Amplitude Equations, D4 Symmetry, and Stability -- §5.† Hopf Bifurcation with O(n) Symmetry -- §6.† Bifurcation with D4 Symmetry -- §7. The Bifurcation Diagrams -- §8.† Rotating Waves and SO(2) or Zn Symmetry -- XVIII Further Examples of Hopf Bifurcation with Symmetry -- §0. Introduction -- §1. The Action of Dn × S1 -- §2. Invariant Theory for Dn × S1 -- §3. Branching and Stability for Dn -- §4. Oscillations of Identical Cells Coupled in a Ring -- §5.† Hopf Bifurcation with O(3) Symmetry -- §6.† Hopf Bifurcation on the Hexagonal Lattice -- XIX Mode Interactions -- §0. Introduction -- § 1. Hopf/Steady-State Interaction -- §2. Bifurcation Problems with Z2 Symmetry -- §3. Bifurcation Diagrams with Z2 Symmetry -- §4. Hopf/Hopf Interaction -- XX Mode Interactions with O(2) Symmetry -- §0. Introduction -- §l.† Steady-State Mode Interaction -- §2. Hopf/Steady-State Mode Interaction -- §3.† Hopf/Hopf Mode Interaction -- Case Study 6 The Taylor-Couette System -- §0. Introduction -- §1. Detailed Overview -- §2. The Bifurcation Theory Analysis -- §3. Finite Length Effects.
    In: Springer eBooks
    Weitere Ausg.: Printed edition: ISBN 9781461289296
    Sprache: Englisch
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
    BibTip Andere fanden auch interessant ...
  • 7
    Online-Ressource
    Online-Ressource
    New York, NY :Springer New York,
    UID:
    almahu_9947363110302882
    Umfang: XI, 164 p. , online resource.
    ISBN: 9781461390220
    Serie: The IMA Volumes in Mathematics and Its Applications, 26
    Inhalt: This IMA Volume in Mathematics and its Applications TWO PHASE FLOWS AND WAVES is based on the proceedings of a workshop which was an integral part of the 1988-89 IMA program on NONLINEAR WAVES. The workshop focussed on the development of waves in flowing composites. We thank the Coordinating Commit­ tee: James Glimm, Daniel Joseph, Barbara Keyfitz, Andrew Majda, Alan Newell, Peter Olver, David Sattinger and David Schaeffer for planning and implementing the stimulating year-long program. We especially thank the Workshop Organizers, Daniel D. Joseph and David G. Schaeffer for their efforts in bringing together many of the major figures in those research fields in which modelling of granular flows and suspensions is used. Avner Friedman Willard Miller, Jr. PREFACE This Workshop, held from January 3-10,1989 at IMA, focused on the properties of materials which consist of many small solid particles or grains. Let us distinguish the terms granular material and suspension. In the former, the material consists exclusively of solid particles interacting through direct contact with one another, either sustained frictional contacts in the case of slow shearing or collisions in the case of rapid shearing. In suspensions, also called two phase flow, the grains interact with one another primarily through the influence of a viscous fluid which occupies the interstitial space and participates in the flow. (As shown by the lecture of I. Vardoulakis (not included in this volume), the distinction between these two idealized cases is not always clear.
    Anmerkung: Pattern formation and time-dependence in flowing sand -- The mathematical structure of the equations for quasi-static plane strain deformations of granular material -- Relation of microstructure to constitutive equations -- The velocity of dynamic waves in fluidised beds -- Transport processes in concentrated suspensions: The role of particle fluctuations -- Stress in dilute suspensions -- Computations of granular flow in a hopper -- Stability of two phase flow models -- Mathematical issues in the continuum formulation of slow granular flow -- One-dimensional, particle bed models of fluidized suspensions -- On Geurst’s equations for inertial coupling in two phase flow.
    In: Springer eBooks
    Weitere Ausg.: Printed edition: ISBN 9781461390244
    Sprache: Englisch
    Schlagwort(e): Konferenzschrift ; Konferenzschrift
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
    BibTip Andere fanden auch interessant ...
  • 8
    UID:
    b3kat_BV036672364
    Umfang: XVII, 463 S. , graph. Darst.
    Ausgabe: [Nachdr.]
    ISBN: 0387909990 , 3540909990
    Serie: Applied mathematical sciences 51
    In: 1
    Sprache: Englisch
    Mehr zum Autor: Stewart, Ian 1945-
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
    BibTip Andere fanden auch interessant ...
Schließen ⊗
Diese Webseite nutzt Cookies und das Analyse-Tool Matomo. Weitere Informationen finden Sie auf den KOBV Seiten zum Datenschutz