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pro vyhledávání: '"V. C. Boffi"'
Autor:
V. C. Boffi
Publikováno v:
Transport Theory ISBN: 9781003420064
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ffe552090d8f5da414b21e9dfbf59bad
https://doi.org/10.1201/9781003420064-8
https://doi.org/10.1201/9781003420064-8
Publikováno v:
Zeitschrift für angewandte Mathematik und Physik. 50:404-422
In this paper the nonlinear integro-partial differential Boltzmann equation, governing the 3-D spatially inhomogeneous time-dependent distribution function \( f (\bar{x}, \bar{v},t)\) of certain test particles, diffusing from a localized source into
Publikováno v:
ZAMP Zeitschrift f�r angewandte Mathematik und Physik. 33:783-800
In the paper a detailed study of the diffusion of charged test particles in the interior of a slab of finite thickness is carried out upon a suitable functional formulation of the stationary Boltzmann equation. Either the boundary effects and the act
Autor:
V. C. Boffi, G. L. Caraffinl
Publikováno v:
Transport Theory and Statistical Physics. 22:485-511
A 3×3 semilinear hyperbolic system, describing the breeding process of nuclear engineering, is studied by the application of the Lie group method. Similarity solutions are consequently constructed, and commented on both physical and mathematical gro
Publikováno v:
Transport Theory and Statistical Physics. 21:119-131
We consider systems of general nonlinear PDEs that arise in the extended kinetic theory of gases describing mixtures of spatially inhomogeneous, mutually interacting species. For general, autonomous, space-independent interaction laws, these systems
Autor:
G. L. Caraffini, V. C. Boffi
Publikováno v:
Il Nuovo Cimento D. 13:899-912
A 3×3 semi-linear hyperbolic system arising in extended kinetic theory is studied. Direct solutions to such system are discussed in a systematic way, and for various physical situations.
Publikováno v:
Il Nuovo Cimento D. 12:1153-1163
The approximate conservation laws for a binary gas mixture with quadratic interactions can be written as a system of two semilinear hyperbolic equations. By using the method of characteristics the study of this system is reduced to the study of a sys
Publikováno v:
Journal of Statistical Physics. 60:445-472
Solution methods, both numerical and analytical, are considered for solving the Liouville master equation associated with discrete-state Markovian initial value problems. The numerical method, basically a moment (Galerkin) method, is very general and
Autor:
V. C. Boffi, Mariano Torrisi
Publikováno v:
Transport Theory and Statistical Physics. 19:139-159
On the basis of a Lie group analysis similarity variables are first derived, and, then, some exact invariant solutions are constructed for a semi-linear hyperbolic system governing the evolution of the number densities of a mixture of N = 2 gases of
Publikováno v:
Physica A: Statistical Mechanics and its Applications. 164:400-410
We prove the equivalence between the probabilistic, kinetic, and scattering kernel formulations of the Boltzmann equation, and we discuss in more detail the features of the scattering kernel formulation in both the deterministic and the stochastic ve