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.

Inhalt

1. An Appreciation of James Serrin.- 2. On Keplerian N-Body Type Problems.- 3. Invariance and Balance in Continuum Mechanics.- 4. Entropy Numbers, Approximation Numbers, and Embeddings.- 5. Some Regularity Properties of Locally Weakly Invertible Maps.- 6. Some Recent Results on Saint-Venant's Principle.- 7. Some Results on Modifications of Three-Dimensional NavierStokes Equations.- 8. An Integral Equation in Probability.- 9. Self-Similar Solutions of the Second Kind.- 10. On the Problem of a Moving Contact Angle.- 11. Space, Time, and Energy: Lectio Doctoralis.