birkhäuser basel springer basel okt 2009 (3 Ergebnisse)

Taschenbuch. Zustand: Neu. Neuware -Geometric flows have many applications in physics and geometry. The mean curvature flow occurs in the description of the interface evolution in certain physical models. This is related to the property that such a flow is the gradient flow of the area functional and therefore appears naturally in problems where a surface energy is minimized. The mean curvature flow also has many geometric applications, in analogy with the Ricci flow of metrics on abstract riemannian manifolds. One can use this flow as a tool to obtain classification results for surfaces satisfying certain curvature conditions, as well as to construct minimal surfaces. Geometric flows, obtained from solutions of geometric parabolic equations, can be considered as an alternative tool to prove isoperimetric inequalities. On the other hand, isoperimetric inequalities can help in treating several aspects of convergence of these flows. Isoperimetric inequalities have many applications in other fields of geometry, like hyperbolic manifolds.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 124 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -This monograph is devoted to the development of the theory of pseudo-di erential n operators on spaces with symmetries. Such spaces are the Euclidean space R ,the n torus T , compact Lie groups and compact homogeneous spaces. The book consists of several parts. One of our aims has been not only to present new results on pseudo-di erential operators but also to show parallels between di erent approaches to pseudo-di erential operators on di erent spaces. Moreover, we tried to present the material in a self-contained way to make it accessible for readers approaching the material for the rst time. However, di erent spaces on which we develop the theory of pseudo-di er- tial operators require di erent backgrounds. Thus, while operators on the - clidean space in Chapter 2 rely on the well-known Euclidean Fourier analysis, pseudo-di erentialoperatorsonthetorusandmoregeneralLiegroupsinChapters 4 and 10 require certain backgrounds in discrete analysis and in the representation theory of compact Lie groups, which we therefore present in Chapter 3 and in Part III,respectively. Moreover,anyonewhowishestoworkwithpseudo-di erential- erators on Lie groups will certainly bene t from a good grasp of certain aspects of representation theory. That is why we present the main elements of this theory in Part III, thus eliminating the necessity for the reader to consult other sources for most of the time. Similarly, the backgrounds for the theory of pseudo-di erential 3 operators on S and SU(2) developed in Chapter 12 can be found in Chapter 11 presented in a self-contained way suitable for immediate use.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 728 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -Considerable progress has been made recently in quantifying geometrical and physicalproperties of fault surfaces and adjacent fractured and granulated damage zones inactive faulting environments. There has also been significant progress in developingrheologies and computational frameworks that can model the dynamics of fault zoneprocesses. This volume provides state-of-the-art theoretical and observational resultson the mechanics, structure and evolution of fault zones. Subjects discussed includedamage rheologies, development of instabilities, fracture and friction, dynamic ruptureexperiments, and analyses of earthquake and fault zone data.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 384 pp. Englisch.