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Trends in Partial Differential Equations of Mathematical Physics
J. F. Rodrigues, G. Seregin, and J. M. Urbano (Editors)
Birkhauser (2005) 282 pp.,
price USD 139.00
ISBN:376437165X
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Reviewer: R. Ghrist, University of Illinois, Urbana-Champaign, USA.
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Level: advanced.
This volume is a collection of articles from a conference on
``Trends in Partial Differential Equations of Mathematical
Physics'' in honor of the 70th birthday of Prof. V.
A. Solonnikov from St. Petersburg. Solonnikov's extensive work in
elliptic and parabolic PDEs, coercive estimates, free boundary
problems, and viscous fluids provides a template for the twenty
articles which appear.
The articles are written at a fairly high level, with a four page
preface on the life and work of Solonnikov serving as the historical
content of the volume. The topics of the articles orbit about
viscous fluid dynamics, including non-Newtonian fluids, fluid-fluid
interfaces, temparature-driven mass transport in fluids,
thermocapillary motion, and Benard convection. A few articles on
Eulerian fluids and MHD complement the theme. The remaining articles
concern analytical tools and technical estimates.