springer basel springer basel jun 2015 (4 Ergebnisse)

Taschenbuch. Zustand: Neu. Neuware -In this book, fundamental methods of nonlinear analysis are introduced, discussed and illustrated in straightforward examples. Each method considered is motivated and explained in its general form, but presented in an abstract framework as comprehensively as possible. A large number of methods are applied to boundary value problems for both ordinary and partial differential equations. In this edition we have made minor revisions, added new material and organized the content slightly differently.In particular, we included evolutionary equations and differential equations on manifolds. The applications to partial differential equations follow every abstract framework of the method in question.The text is structured in two levels: a self-contained basic level and an advanced level - organized in appendices - for the more experienced reader. The last chapter contains more involved material and can be skipped by those new to the field. This book serves as both a textbook for graduate-level courses and a reference book for mathematicians, engineers and applied scientistsSpringer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 660 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The exposition leads the reader through the general theory based on abstract (pseudo-) monotone or accretive operators as fast as possible towards the analysis of concrete differential equations, which have specific applications in continuum (thermo-) mechanics of solids and fluids, electrically (semi-) conductive media, modelling of biological systems, or in mechanical engineering. Selected parts aremainly an introduction into the subject while some others form an advanced textbook. Thesecond edition simplifies and extends the exposition at particular spots and augments the applications especially towards thermally coupled systems, magnetism, and more. The intended audience is graduate and PhD students as well as researchers in the theory of partial differential equations or in mathematical modelling of distributed parameter systems. ------ The monograph contains a wealth of material in both the abstract theory of steady-state or evolution equations of monotone and accretive type and concrete applications to nonlinear partial differential equations from mathematical modeling. The organization of the material is well done, and the presentation, although concise, is clear, elegant and rigorous. (¿) this book is a notable addition to the existing literature. Also, it certainly will prove useful to engineers, physicists, biologists and other scientists interested in the analysis of (.) nonlinear differential models of the real world. (Mathematical Reviews)Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 496 pp. Englisch.

Buch. Zustand: Neu. Neuware -This book gives a uniquely complete description of the geometry of the energy momentum mapping of five classical integrable systems: the 2-dimensional harmonic oscillator, the geodesic flow on the 3-sphere, the Euler top, the spherical pendulum and the Lagrange top. It presents for the first time in book form a general theory of symmetry reduction which allows one to reduce the symmetries in the spherical pendulum and the Lagrange top. Also the monodromy obstruction to the existence of global action angle coordinates is calculated for the spherical pendulum and the Lagrange top. The book addresses professional mathematicians and graduate students and can be used as a textbook on advanced classical mechanics or global analysis.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 500 pp. Englisch.

Buch. Zustand: Neu. Neuware -The book collects the most significant contributions of the outstanding Czech mathematician Jind¿ich Ne¿as, who was honoured with the Order of Merit of the Czech Republic by President Václav Havel. Starting with Ne¿as¿s brief biography and short comments on his role in the beginnings of modern PDE research in Prague, the book then follows the periods of his research career. The first part is devoted to the linear theory of partial differential equations. Its topics include the variational approach to linear boundary value problems and the Rellich - Ne¿as inequalities, together with their applications to boundary regularity. The second part is concerned with the regularity for nonlinear elliptic systems, which are related to Hilbert¿s 19th and 20th problems. The third part focuses on Nonlinear Functional Analysis and its applications to non-linear PDEs, while the last part deals with topics in the mathematical theory of various models in Continuum Mechanics, including elasticity and plasticity, the Navier-Stokes equations, transonic flows, and multipolar fluids.The editorial contributions were written by: I. Babüka, P. Ciarlet, P. Drábek, M. Feistauer, I. Hlavá¿ek, J. Jarüek, O. John, J. Kristensen, A. Kufner, J. Málek, G. Mingione, ¿. Ne¿asová, M. Pokorný, P. Quittner, T. Roubí¿ek, G. Seregin and J. Stará.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 800 pp. Englisch.