Nonlinear Analysis and Continuum Mechanics
(Sprache: Englisch)
The chapters in this volume deal with four fields with deep historical roots that remain active areas reasearch: partial differential equations, variational methods, fluid mechanics, and thermodynamics. The collection is intended to serve two purposes:...
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Klappentext zu „Nonlinear Analysis and Continuum Mechanics “
The chapters in this volume deal with four fields with deep historical roots that remain active areas reasearch: partial differential equations, variational methods, fluid mechanics, and thermodynamics. The collection is intended to serve two purposes: First, to honor James Serrin, in whose work the four fields frequently interacted; and second, to bring together work in fields that are usually pursued independently but that remain remarkably interrelated. Serrin's contributions to mathematical analysis and its applications are fundamental and include such theorems and methods as the Gilbarg- Serrin theorem on isoated singularities, the Serrin symmetry theorem, the Alexandrov-Serrin moving-plane technique, The Peletier-Serrin uniqueness theorem, and the Serrin integal of the calculus of variations. Serrin has also been noted for the elegance of his mathematical work and for the effectiveness of his teaching and collaborations.
Inhaltsverzeichnis zu „Nonlinear Analysis and Continuum Mechanics “
1. An Appreciation of James Serrin (P. Pucci) 2. On Keplarian N-body Type Problems (A. Ambrosetti and K. Tanaka);
3. Invariance and Balance in Continuum Mechanics (G. Capriz and G. Mazzini);
4. Entropy Numbers, Approximation Numbers and Embeddings (D.E. Edmunds);
5. Some Regularity Properties of Locally Invertible Maps (M. Giaquinta, G. Modica, J. Soucek);
6. Some Recent Results on Saint-Venant's Principle (R.J. Knops and C. Lupoli);
7. Some Results on Modifications of Three Dimensional Navier-Stokes Equations (O. Ladyzhenskaya);
8. An Integral Equation in Probability (J.B. McLeod);
9. Self-Similar Solutions of the Second Kind (L.A. Peletier);
10. On the Problem of a Moving Contact Angle (V.A. Solonnikov);
11. Space, Time, and Energy (J. Serrin)
Bibliographische Angaben
- 1998, X, 148 Seiten, Maße: 24,5 cm, Gebunden, Englisch
- Ed. by Giuseppe Butazzo, Giovanni P. Galdi, Ermanno Lanconelli et al.
- Verlag: Springer, Berlin
- ISBN-10: 0387982965
- ISBN-13: 9780387982960
Sprache:
Englisch
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