TY  - BOOK
AU  - Tartar,Luc
TI  - From hyperbolic systems to kinetic theory: a personalized quest 
T2  - Lecture notes of the Unione Matematica Italiana,
SN  - 9783540775621
PY  - 2008///
CY  - Berlin
PB  - Springer
KW  - Continuum mechanics
KW  - Differential equations, Hyperbolic
KW  - Kinetic theory of gases
KW  - Dynamics
KW  - Mathematical physics
N1  - 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
N2  - 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
ER  -