Recent trends in partial differential equations : UIMP-RSME Santaló Summer School, July 12-16, 2004, Universidad Internacional Menéndez Pelayo, Santander, Spain

Bibliographic Information

Recent trends in partial differential equations : UIMP-RSME Santaló Summer School, July 12-16, 2004, Universidad Internacional Menéndez Pelayo, Santander, Spain

Juan Luis Vázquez, Xavier Cabré, José Antonio Carrillo, editors

(Contemporary mathematics, 409)

American Mathematical Society, c2006

Other Title

Recent trends in PDE's

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Note

"American Mathematical Society, Real Sociedad Matemática Española"

Includes bibliographical references

Description and Table of Contents

Description

This volume contains the research and expository articles for the courses and talks given at the UIMP-RSME Lluis A. Santalo Summer School, 'Recent Trends in Partial Differential Equations'. The goal of the Summer School was to present some of the many advances that are currently taking place in the interaction between nonlinear partial differential equations and their applications to other scientific disciplines.Oriented to young post-docs and advanced doctoral students, the courses dealt with topics of current interest. Some of the tools presented are quite powerful and sophisticated. These new methods are presented in an expository manner or applied to a particular example to demonstrate the main ideas of the method and to serve as a handy introduction to further study. Young researchers in partial differential equations and colleagues from neighboring fields will find these notes a good addition to their libraries. This is a joint publication of the Real Sociedad Matematica Espanola and the American Mathematical Society.

Table of Contents

Steepest descent flows and applications to spaces of probability measures by L. Ambrosio Hypocoercivity: the example of linear transport by L. Desvillettes A hybrid system of PDE's arising in multi-structure interaction: Coupling of wave equations in $n$ and $n-1$ space dimensions by H. Koch and E. Zuazua Some rigorous results for vortex patterns in Bose-Einstein condensates by A. Aftalion Qualitative properties of some Boltzmann like equations which do not fulfill a detailed balance condition by M. Escobedo and S. Mischler.

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