From Hyperbolic Systems to Kinetic Theory : A Personalized Quest
Equations of state are not always effective in continuum mechanics. Maxwell and Boltzmann created a kinetic theory of gases, using classical mechanics. How could they derive the irreversible Boltzmann equation from a reversible Hamiltonian framework? By using probabilities, which destroy physical re...
Kaydedildi:
| Yazar: | |
|---|---|
| Materyal Türü: | Livre numérique |
| Dil: | Anglais |
| Baskı/Yayın Bilgisi: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Seri Bilgileri: | Lecture Notes of the Unione Matematica Italiana
6 |
| Konular: | |
| Online Erişim: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Not: |
L'impression du document génère 294 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • From hyperbolic systems to kinetic theory, a personalized quest, Luc Tartar, Berlin, Springer, 2008, 1 vol. (XXVII-279 p.), Lecture notes of the Unione Matematica Italiana, 978-3-540-77561-4 |
İçindekiler:
- Historical Perspective Hyperbolic Systems: Riemann Invariants, Rarefaction Waves Hyperbolic Systems: Contact Discontinuities, Shocks The Burgers Equation and the 1-D Scalar Case The 1-D Scalar Case: the E-Conditions of Lax and of Oleinik Hopf's Formulation of the E-Condition of Oleinik The Burgers Equation: Special Solutions The Burgers Equation: Small Perturbations; the Heat Equation Fourier Transform; the Asymptotic Behaviour for the Heat Equation Radon Measures; the Law of Large Numbers A 1-D Model with Characteristic Speed 1/? A 2-D Generalization; the Perron Frobenius Theory A General Finite-Dimensional Model with Characteristic Speed 1/? Discrete Velocity Models The Mimura Nishida and the Crandall Tartar Existence Theorems Systems Satisfying My Condition (S) Asymptotic Estimates for the Broadwell and the Carleman Models Oscillating Solutions; the 2-D Broadwell Model Oscillating Solutions: the Carleman Model The Carleman Model: Asymptotic Behaviour Oscillating Solutions: the Broadwell Model Generalized Invariant Regions; the Varadhan Estimate Questioning Physics; from Classical Particles to Balance Laws Balance Laws; What Are Forces? D. Bernoulli: from Masslets and Springs to the 1-D Wave Equation Cauchy: from Masslets and Springs to 2-D Linearized Elasticity The Two-Body Problem The Boltzmann Equation The Illner Shinbrot and the Hamdache Existence Theorems The Hilbert Expansion Compactness by Integration Wave Front Sets; H-Measures H-Measures and Idealized Particles Variants of H-Measures Biographical Information Abbreviations and Mathematical Notation.