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Fundamentals of Maxwell's kinetic theory of a simple monatomic gas : treated as a branch of rational mechanics /
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Academic Press,
1980.
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| Colección: | Pure and applied mathematics (Academic Press) ;
83. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
Tabla de Contenidos:
- 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.