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From hyperbolic systems to kinetic theory [electronic resource] : a personalized quest

Author
Tartar, L.
Published
Berlin : Springer, 2008.
Physical Description
1 volume
Additional Creators
SpringerLink (Online service)
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Contents
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/æ -- A 2-D Generalization; the Perron-Frobenius Theory -- A General Finite-Dimensional Model with Characteristic Speed 1/æ -- 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
ISBN
9783540775621
Note
Description based on print version record.
AVAILABLE ONLINE TO AUTHORIZED PSU USERS.
Reproduction Note
Electronic reproduction. Berlin : Springer, 2008. Mode of access: World Wide Web. Available via SpringerLink.
View MARC record | catkey: 4569835