Ebook: Nonlinear Analysis and Continuum Mechanics: Papers for the 65th Birthday of James Serrin

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.

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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.
Content:
Front Matter....Pages i-x
An Appreciation of James Serrin....Pages 1-13
On Keplerian N-Body Type Problems....Pages 15-25
Invariance and Balance in Continuum Mechanics....Pages 27-35
Entropy Numbers, Approximation Numbers, and Embeddings....Pages 37-44
Some Regularity Properties of Locally Weakly Invertible Maps....Pages 45-59
Some Recent Results on Saint-Venant’s Principle....Pages 61-71
Some Results on Modifications of Three-Dimensional Navier—Stokes Equations....Pages 73-84
An Integral Equation in Probability....Pages 85-93
Self-Similar Solutions of the Second Kind....Pages 95-105
On the Problem of a Moving Contact Angle....Pages 107-137
Space, Time and Energy....Pages 139-144
Back Matter....Pages 145-148

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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.
Content:
Front Matter....Pages i-x
An Appreciation of James Serrin....Pages 1-13
On Keplerian N-Body Type Problems....Pages 15-25
Invariance and Balance in Continuum Mechanics....Pages 27-35
Entropy Numbers, Approximation Numbers, and Embeddings....Pages 37-44
Some Regularity Properties of Locally Weakly Invertible Maps....Pages 45-59
Some Recent Results on Saint-Venant’s Principle....Pages 61-71
Some Results on Modifications of Three-Dimensional Navier—Stokes Equations....Pages 73-84
An Integral Equation in Probability....Pages 85-93
Self-Similar Solutions of the Second Kind....Pages 95-105
On the Problem of a Moving Contact Angle....Pages 107-137
Space, Time and Energy....Pages 139-144
Back Matter....Pages 145-148
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