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  • 1
    Buch
    Buch
    Berlin [u.a.] :Springer,
    UID:
    almafu_BV014799290
    Umfang: IX, 673 S. : , Ill., graph. Darst.
    ISBN: 3-540-44051-8
    Sprache: Englisch
    Fachgebiete: Mathematik
    RVK:
    RVK:
    Schlagwort(e): Variationsrechnung ; Geometrische Analysis ; Nichtlineare partielle Differentialgleichung ; Aufsatzsammlung ; Aufsatzsammlung ; Aufsatzsammlung ; Aufsatzsammlung ; Aufsatzsammlung ; Aufsatzsammlung
    URL: Cover
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 2
    Online-Ressource
    Online-Ressource
    Berlin, Heidelberg :Springer Berlin Heidelberg :
    UID:
    almahu_9947363293802882
    Umfang: XXIX, 474 p. , online resource.
    ISBN: 9783662032787
    Serie: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 310
    Inhalt: This 2-volume treatise by two of the leading researchers and writers in the field, quickly established itself as a standard reference. It pays special attention to the historical aspects and the origins partly in applied problems - such as those of geometric optics - of parts of the theory. A variety of aids to the reader are provided, beginning with the detailed table of contents, and including an introduction to each chapter and each section and subsection, an overview of the relevant literature (in Volume II) besides the references in the Scholia to each chapter in the (historical) footnotes, and in the bibliography, and finally an index of the examples used through out the book.
    Anmerkung: of Calculus of Variations I -- 1. The First Variation -- 2. Variational Problems with Subsidiary Conditions -- 3. General Variational Formulas -- 4. Second Variation, Excess Function, Convexity -- 5. Weak Minimizers and Jacobi Theory -- 6. Weierstrass Field Theory for One-Dimensional Integrals and Strong Minimizers -- Supplement. Some Facts from Differential Geometry and Analysis -- 1. Euclidean Spaces -- 2. Some Function Classes -- 3. Vector and Covector Fields. Transformation Rules -- 4. Differential Forms -- 6. Mean Curvature and Gauss Curvature.
    In: Springer eBooks
    Weitere Ausg.: Printed edition: ISBN 9783642080746
    Sprache: Englisch
    URL: Volltext  (lizenzpflichtig)
    URL: Cover
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  • 3
    UID:
    almahu_9947363148702882
    Umfang: IX, 673 p. 151 illus. , online resource.
    ISBN: 9783642556272
    Inhalt: This book is not a textbook, but rather a coherent collection of papers from the field of partial differential equations. Nevertheless we believe that it may very well serve as a good introduction into some topics of this classical field of analysis which, despite of its long history, is highly modem and well prospering. Richard Courant wrote in 1950: "It has always been a temptationfor mathematicians to present the crystallized product of their thought as a deductive general theory and to relegate the individual mathematical phenomenon into the role of an example. The reader who submits to the dogmatic form will be easily indoctrinated. Enlightenment, however, must come from an understanding of motives; live mathematical development springs from specific natural problems which can be easily understood, but whose solutions are difficult and demand new methods or more general significance. " We think that many, if not all, papers of this book are written in this spirit and will give the reader access to an important branch of analysis by exhibiting interest­ ing problems worth to be studied. Most of the collected articles have an extensive introductory part describing the history of the presented problems as well as the state of the art and offer a well chosen guide to the literature. This way the papers became lengthier than customary these days, but the level of presentation is such that an advanced graduate student should find the various articles both readable and stimulating.
    Anmerkung: Olga Ladyzhenskaya—A Life-Long Devotion to Mathematics -- I. Geometric Analysis and Calculus of Variations -- On the Spectral Theory of Surfaces with Cusps -- The Dirac Determinant of Spherical Space Forms -- Constructing Isospectral Metrics via Principal Connections -- Parametrizations of Teichmüller Space and Its Thurston Boundary -- Linearization of Isotropic Automorphisms of Non-quadratic Elliptic CR-Manifolds in ?4 -- Global C2+?-Estimates for Conformai Maps -- On Karcher’s Twisted Saddle Towers -- Unstable Periodic Discrete Minimal Surfaces -- An Adaptive Finite Element Method for Minimal Surfaces -- Singular Minimal Surfaces -- Note on the Isoperimetric Profile of a Convex Body -- Geometric Conditions on Free Boundaries -- On Generalized Mean Curvature Flow in Surface Processing -- A Finite Element Level Set Method for Anisotropic Mean Curvature Flow with Space Dependent Weight -- Optimal Regularity Results via A-Harmonic Approximation -- Dominance Functions for Parametric Lagrangians -- Convex Variational Problems with Linear Growth -- II. Nonlinear Partial Differential Equations -- Studying Nonlinear pde by Geometry in Matrix Space -- On the Korteweg — de Vries Equation and KAM Theory -- Convergence of Approximate Solutions of Conservation Laws -- Nonlinear Hyperbolic Systems of Generalized Navier-Stokes Type for Interactive Motion in Biology -- On Peak and Periodic Solutions of an Integro-Differential Equation on S1 -- Symmetrizing Measures for Infinite Dimensional Diffusions: An Analytic Approach -- Markov Semigroups and Harmonic Maps -- Boundary Regularity for Nonlinear Elliptic Systems: Applications to the Transmission Problem -- A Particle-Partition of Unity Method — Part V: Boundary Conditions -- On Uniqueness- and Regularity Criteria for the Navier-Stokes Equations -- Problems Due to the No-Slip Boundary in Incompressible Fluid Dynamics -- Comparison of Finite Volume and Discontinuous Galerkin Methods of Higher Order for Systems of Conservation Laws in Multiple Space Dimensions -- Existence of Strong Solutions for Electrorheological Fluids in Two Dimensions: Steady Dirichlet Problem -- Spinodal Decomposition in the Presence of Elastic Interactions -- Waiting Time Phenomena for Degenerate Parabolic Equations — A Unifying Approach -- The Mathematics of Ostwald Ripening -- Appendix. Color Plates.
    In: Springer eBooks
    Weitere Ausg.: Printed edition: ISBN 9783540440512
    Sprache: Englisch
    Schlagwort(e): Aufsatzsammlung ; Aufsatzsammlung
    URL: Volltext  (lizenzpflichtig)
    URL: Cover
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  • 4
    UID:
    b3kat_BV042420854
    Umfang: 1 Online-Ressource (XVIII, 386 p)
    ISBN: 9781461507772 , 9781461352341
    Serie: International Mathematical Series 1
    Anmerkung: 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
    Sprache: Englisch
    URL: Volltext  (lizenzpflichtig)
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  • 5
    UID:
    b3kat_BV013883841
    Umfang: 258 S. , graph. Darst.
    ISBN: 3894048913
    Serie: Forschung aus der Hans-Böckler-Stiftung 31
    Sprache: Englisch
    Fachgebiete: Wirtschaftswissenschaften
    RVK:
    Schlagwort(e): Unternehmen ; Umwelt ; Sozialer Wandel ; Aufsatzsammlung
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 6
    Online-Ressource
    Online-Ressource
    Berlin, Heidelberg : Springer Berlin Heidelberg
    UID:
    b3kat_BV042423367
    Umfang: 1 Online-Ressource (XXIX, 655 p)
    ISBN: 9783662062012 , 9783642081927
    Serie: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics 311
    Anmerkung: This long-awaited book by two of the foremost researchers and writers in the field is the first part of a treatise that covers the subject in breadth and depth, paying special attention to the historical origins, partly in applications, e.g. from geometrical optics, of parts of the theory. A variety of aids to the reader are provided: besides the very detailed table of contents, an introduction to each chapter, section and subsection, an overview of the relevant literature (in Vol. 2) plus the references in the Scholia to each chapter, in the (historical) footnotes, and in the bibliography, and finally an index of the examples used throughout the book. Both individually and collectively these volumes have already become standard references
    Sprache: Englisch
    URL: Volltext  (lizenzpflichtig)
    URL: Cover
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