After publishing an introduction to the Navier–Stokes equation and oceanography (Vol. 1 of this series), Luc Tartar follows with another set of lecture notes based on a graduate course in two parts, as indicated by the title. A draft has been available on the internet for a few years. The author has now revised and polished it into a text accessible to a larger audience.
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Cuprins
Historical Background.- The Lebesgue Measure, Convolution.- Smoothing by Convolution.- Truncation; Radon Measures; Distributions.- Sobolev Spaces; Multiplication by Smooth Functions.- Density of Tensor Products; Consequences.- Extending the Notion of Support.- Sobolev’s Embedding Theorem, 1 ?Despre autor
Luc Tartar studied at Ecole Polytechnique in Paris, France, 1965-1967, where he was taught by Laurent Schwartz and Jacques-Louis Lions in mathematics, and by Jean Mandel in continuum mechanics.He did research at Centre National de la Recherche Scientifique, Paris, France, 1968-1971, working under the direction of Jacques-Louis Lions for his thèse d’état, 1971.
He taught at Université Paris IX-Dauphine, Paris, France, 1971-1974, at University of Wisconsin, Madison, WI, 1974-1975, at Université de Paris-Sud, Orsay, France, 1975-1982.
He did research at Commissariat à l’Energie Atomique, Limeil, France, 1982-1987.
In 1987, he was elected Correspondant de l’Académie des Sciences, Paris, in the section Mécanique.
Since 1987 he has been teaching at Carnegie Mellon University, Pittsburgh, PA, where he has been University Professor of Mathematics since 1994.
Partly in collaboration with François Murat, he has specialized in the development of new mathematical tools for solving the partial differential equations of continuum mechanics (homogenization, compensated compactness, H-measures), pioneering the study of microstructures compatible with the partial differential equations describing the physical balance laws, and the constitutive relations.
He likes to point out the defects of many of the models which are used, as a natural way to achieve the goal of improving our understanding of mathematics and of continuum mechanics.
Limba Engleză ● Format PDF ● Pagini 219 ● ISBN 9783540714835 ● Mărime fișier 1.7 MB ● Editura Springer Berlin ● Oraș Heidelberg ● Țară DE ● Publicat 2007 ● Descărcabil 24 luni ● Valută EUR ● ID 2163229 ● Protecție împotriva copiilor DRM social
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