From hyperbolic systems to kinetic theory
Tartar, Luc.
From hyperbolic systems to kinetic theory a personalized quest / [electronic resource] : Luc Tartar. - Berlin : Springer, 2008. - 1 online resource (xxvii, 279 p.) - Lecture notes of the Unione Matematica Italiana, 6. 1862-9113 ; . - Lecture notes of the Unione Matematica Italiana ; 6. .
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.
System requirements: Internet connectivity; World Wide Web browser.
9783540775621 3540775625 3540775617 9783540775614 6611231730 9786611231736
978-3-540-77561-4 Springer
Continuum mechanics.
Differential equations, Hyperbolic.
Kinetic theory of gases.
Dynamics.
Mathematical physics.
From hyperbolic systems to kinetic theory a personalized quest / [electronic resource] : Luc Tartar. - Berlin : Springer, 2008. - 1 online resource (xxvii, 279 p.) - Lecture notes of the Unione Matematica Italiana, 6. 1862-9113 ; . - Lecture notes of the Unione Matematica Italiana ; 6. .
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.
System requirements: Internet connectivity; World Wide Web browser.
9783540775621 3540775625 3540775617 9783540775614 6611231730 9786611231736
978-3-540-77561-4 Springer
Continuum mechanics.
Differential equations, Hyperbolic.
Kinetic theory of gases.
Dynamics.
Mathematical physics.