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Variational Problems in Riemannian Geometry
This book collects invited contributions by specialists in the domain of elliptic partial differential equations and geometric flows. There are introductory survey articles as well as papers presenting the latest research results. Among the topics covered are blow-up theory for second order elliptic equations; bubbling phenomena in the harmonic map heat flow; applications of scans and fractional power integrands; heat flow for the p-energy functional; Ricci flow and evolution by curvature of networks of curves in the plane.
Sub-Riemannian Geometry and Optimal Transport
The book provides an introduction to sub-Riemannian geometry and optimal transport and presents some of the recent progress in these two fields. The text is completely self-contained: the linear discussion, containing all the proofs of the stated results, leads the reader step by step from the notion of distribution at the very beginning to the existence of optimal transport maps for Lipschitz sub-Riemannian structure. The combination of geometry presented from an analytic point of view and of optimal transport, makes the book interesting for a very large community. This set of notes grew from a series of lectures given by the author during a CIMPA school in Beirut, Lebanon.
Mathematical Reviews
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Composites and Their Properties
Composites are a class of material, which receives much attention not only because it is on the cutting edge of active material research fields due to appearance of many new types of composites, e.g., nanocomposites and bio-medical composites, but also because there are a great deal of promises for their potential applications in various industries ranging from aerospace to construction due to their various outstanding properties. This book mainly deals with fabrication and property characterization of various composites by focusing on the following topics: functional and structural nanocomposites, numerical and theoretical modelling of various damages in long fiber reinforced composites and textile composites, design, processing and manufacturing technologies and their effects on mechanical properties of composites, characterization of mechanical and physical properties of various composites, and metal and ceramic matrix composites. This book has been divided into five sections to cover the above contents.
TOP Bulletin
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