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From hyperbolic systems to kinetic theory [electronic resource] : a personalized quest / Luc Tartar.

By: Material type: TextTextSeries: Lecture notes of the Unione Matematica Italiana ; 6.Publication details: Berlin : Springer, 2008.Description: 1 online resource (xxvii, 279 p.)ISBN:
  • 9783540775621
  • 3540775625
  • 3540775617
  • 9783540775614
  • 6611231730
  • 9786611231736
Subject(s): Additional physical formats: Print version:: From hyperbolic systems to kinetic theory.
Contents:
Front Matter; 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/e; A 2-D Generalization.
Summary: Maxwell and Boltzmann created a kinetic theory of gases, using classical mechanics. This work examines modes used by energy, proves which equation governs each mode, and conjectures that the result may not look like the Boltzmann equation, and there can be more modes than those indexed by velocity.
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Holdings
Item type Current library Call number Copy number Status Date due Barcode
General Books General Books CUTN Central Library Sciences 530.136 (Browse shelf(Opens below)) 1 Available 7847

Includes bibliographical references (p. [275]-276) and index.

Front Matter; 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/e; A 2-D Generalization.

Online version restricted to NUS staff and students only through NUSNET.

Maxwell and Boltzmann created a kinetic theory of gases, using classical mechanics. This work examines modes used by energy, proves which equation governs each mode, and conjectures that the result may not look like the Boltzmann equation, and there can be more modes than those indexed by velocity.

Mode of access: World Wide Web.

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