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Fundamentals of Maxwell's kinetic theory of a simple monatomic gas : treated as a branch of rational mechanics /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Truesdell, C. (Clifford), 1919-2000
Otros Autores: Muncaster, R. G.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Academic Press, 1980.
Colección:Pure and applied mathematics (Academic Press) ; 83.
Temas:
Acceso en línea:Texto completo
Texto completo
Texto completo

MARC

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100 1 |a Truesdell, C.  |q (Clifford),  |d 1919-2000. 
245 1 0 |a Fundamentals of Maxwell's kinetic theory of a simple monatomic gas :  |b treated as a branch of rational mechanics /  |c C. Truesdell & R.G. Muncaster. 
260 |a New York :  |b Academic Press,  |c 1980. 
300 |a 1 online resource (xxvii, 593 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Pure and applied mathematics, a series of monographs and textbooks ;  |v 83 
504 |a Includes bibliographical references (pages 569-577). 
500 |a Includes indexes. 
588 0 |a Print version record. 
505 0 |a Part A : Continuum thermomechanics. Continuum theories of fluids ; The Stokes-Kirchhoff gas, some of its peculiarities and some of its flows -- Part B : Basic structures of the kinetic theory. The molecular density, the definitions of gross fields and the equation of evolution ; Some limits of agreement between kinetic theories and classical fluid mechanics ; The differential operators of the kinetic theory ; The dynamics of molecular encounters ; The Maxwell collisions operator-- Kinetic constitutive relations-- The total collisions operator and bilinear form ; Boltzmann's monotonicity theorem-- The Maxwellian density-- Analogues of the caloric and its flux -- Part C : The Maxwell-Boltzmann equation and its elementary consequences. The Maxwell-Boltzmann equation-- Maxwell's consistency theorem and equation of transfer ; Kinetic equilibrium and gross equilibrium-- Locally Maxwellian solutions ; Boltzmann's H[italicized]-theorem -- Part D : Particular molecular models and exact solutions for moments. The collisions operator for some special kinetic constitutive relations, especially Maxwellian molecules ; The pressures and the energy flux in a gas of Maxwellian molecules-- Maxwell's relaxation theorem and evaluation of viscosity and thermal conductivity ; Homo-energetic simple shearing of a gas of Maxwellian molecules ; General solution for the pressures in homo-energetic affine flows of a gas of Maxwellian molecules -- Part E : The system of equations for the moments. The general system of equations for the moments in a gas of Maxwellian molecules-- Ikenberry's theorem on the structure of collisions integrals ; Grad's formal evaluation of collisions integrals, and his method of approximating the initial-value problem -- Part F : Existence, uniqueness and qualitative behavior. Existence theory for the general initial-value problem-- Part 1 : Molecules with intermolecular forces of infinite range ; Convergence theorems and the domain of the collisions operator ; Existence theory for the general initial-value problem-- Part 2 : Place-dependent solutions for molecules with a cut-off ; Part 3 : Spatially homogeneous solutions for molecules with a cut-off -- Part G : Grossly and momentally determined solutions and interative procedures of the kinetic theory. Hilbert's formal interative procedure for calculating gas-dynamic solutions-- The assertion of gross causality-- The Hilbert mapping ; Grossly determined solutions-- The euqations of gross determinism ; The method of stretched fields for approximating grodd determiners-- Use of it to obtain the results of Enskog's procedure ; The Maxwellian iteration of Ikenberry & Truesdell ; Convergence and divergence of atemporal Maxwellian iteration in flows for which an exact solution is known-- Failure of the higher iterates to improve the asymptotic approximation -- Epilogue. 
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650 0 |a Kinetic theory of gases. 
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650 7 |a MATHEMATICS  |x Essays.  |2 bisacsh 
650 7 |a SCIENCE  |x Mechanics  |x General.  |2 bisacsh 
650 7 |a Kinetic theory of gases  |2 fast  |0 (OCoLC)fst00987634 
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776 0 8 |i Print version:  |a Truesdell, C. (Clifford), 1919-2000.  |t Fundamentals of Maxwell's kinetic theory of a simple monatomic gas.  |d New York : Academic Press, 1980  |z 0127013504  |z 9780127013503  |w (DLC) 79000506  |w (OCoLC)4638938 
830 0 |a Pure and applied mathematics (Academic Press) ;  |v 83. 
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