The Foundations of Mechanics and Thermodynamics: Selected Papers

ISBN-13: 9783642658198 / Angielski / Miękka / 2011 / 326 str.

W. Noll; C. Truesdell

Opis

German scholars, against odds now not only forgotten but also hard to imagine, were striving to revivify the life of the mind which the mental and physical barbarity preached and practised by the -isms and -acies of 1933-1946 had all but eradicated. Thinking that among the disciples of these elders, restorers rather than progressives, I might find a student or two who would wish to master new mathematics but grasp it and use it with the wholeness of earlier times, in 1952 I wrote to Mr. HAMEL, one of the few then remaining mathematicians from the classical mould, to ask him to name some young men fit to study for the doc torate in The Graduate Institute for Applied Mathematics at Indiana University, flourishing at that time though soon to be destroyed by the jealous ambition of the local, stereotyped pure. Having just retired from the Technische Universitat in Charlottenburg, he passed my inquiry on to Mr. SZABO, in whose institute there NOLL was then an assistant. Although Mr."

Spis treści

Papers and Notes.- 1. Eine Bemerkung zur Schwarzschen Ungleichheit.- 2. On the Continuity of the Solid and Fluid States.- 3. Die Herleitung der Grundgleichungen der Thermomechanik der Kontinua aus der statistischen Mechanik.- 4. Verschiebungsfunktionen für elastische Schwingungsprobleme.- 5. On the Uniqueness and Non-existence of Stokes Flow.- 6. On the Rotation of an Incompressible Continuous Medium in Plane Motion.- 7. On Exterior Boundary Value Problems in Linear Elasticity.- 8. A Mathematical Theory of the Mechanical Behavior of Continuous Media.- 9. The Foundations of Classical Mechanics in the Light of Recent Advances in Continuum Mechanics.- 10. On Certain Steady Flows of General Fluids.- 11. Helical Flow of General Fluids.- 12. Conditions for Equilibrium at Negative Absolute Temperatures.- 13. On the Thermostatics of Continuous Media.- 14. An Approximation Theorem for Functional with Applications in Continuum Mechanics.- 15. Recent Results in the Continuum Theory of Viscoelastic Fluids.- 16. Foundations of Linear Viscoelasticity.- 17. Normal Stresses in Second-order Viscoelasticity.- 18. Steady Extension of Incompressible Simple Fluids.- 19. Simple Fluids with Fading Memory.- 20. Motions with Constant Stretch History.- 21. La Mécanique Classique, Basée sur un Axiome d’Objectivité.- 22. The Thermodynamics of Elastic Materials with Heat Conduction and Viscosity.- 23. Material Symmetry and Thermostatic Inequalities in Finite Elastic Deformations.- 24. Euclidean Geometry and Minkowskian Chronometry.- 25. Proof of the Maximality of the Orthogonal Group in the Unimodular Group.- 26. The Equations of Finite Elasticity.- 27. The Foundations of Mechanics.- 28. Space-Time Structures in Classical Mechanics.- 29. Materially Uniform Simple Bodies with Inhomogeneities.- 30. Inhomogeneities in Materially Uniform Simple Bodies.- 31. Quasi-invertibility in a Staircase Diagram.- 32. Representations of Certain Isotropic Tensor Functions.- 33. On certain Convex Sets of Measures and on Phases of Reacting Mixtures.- 34. Annihilators of Linear Differential Operators.- 35. A New Mathematical Theory of Simple Materials.- 36. Lectures on the Foundations of Continuum Mechanics and Thermodynamics.