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Papers by G. Spiga
Nuclear Science and Engineering
The isotropic form of the classical space-dependent neutron slowing down problems is solved by ap... more The isotropic form of the classical space-dependent neutron slowing down problems is solved by applying a Fourier transform with respect to optical distance to the appropriate transport equation and boundary conditions. An analytical solution, step-by-step with respect to the ''relative'' lethargy, is constructed in the transform space; the inversion is facilitated by the use of Bromwich's technique. In the process, a procedure for determining the lethargy-dependent spatial moments of the total (scalar) flux is developed.
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Nuclear Science and Engineering
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Rivista di Matematica della Universita di Parma
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Transport Theory and Statistical Physics
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ABSTRACT
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Kinetic and Related Models, 2011
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We deal with a diatomic gas diffusing in a background medium. The gas is modelled as a mixture ma... more We deal with a diatomic gas diffusing in a background medium. The gas is modelled as a mixture made up by atoms and molecules undergoing reactions of dissociation and recombination through a transition state. In the fluid-dynamic regime, two (slightly) different scalings are addressed, that lead to a formal derivation of hydrodynamic equations which are not necessarily of reaction-diffusion type though they both involve diffusive terms in the number densities.
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ZAMP Zeitschrift f�r angewandte Mathematik und Physik, 1983
The pure removal effects taking place in a mixture of two species of particles are studied throug... more The pure removal effects taking place in a mixture of two species of particles are studied through an application of the time-dependent space-independent nonlinear integrodifferential Boltzmann equation. Explicit results for the distribution function as well as a generalization of the continuity equation for the total density of the particles to be considered are obtained for the case when the relevant removal parameters are constant. For the general case existence and uniqueness of the solution for the distribution function are proved by an application of the contracting mapping principle.
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ZAMP Journal of Applied Mathematics and Physics, 1986
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Zeitschrift für angewandte Mathematik und Physik, 2001
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Transport Theory and Statistical Physics, 2007
In the framework of recently introduced consistent BGK approximations of the Boltzmann equations ... more In the framework of recently introduced consistent BGK approximations of the Boltzmann equations for both reactive and non-reactive gas mixtures, the problem of an appropriate choice of the relaxation times, which represent the crucial parameters of the model, is addressed. In this first approach, BGK results are tested versus the only exact analytical solutions available in the literature for mixtures,
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Transport Theory and Statistical Physics, 1981
ABSTRACT
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Transport Theory and Statistical Physics, 2001
ABSTRACT
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Nuclear Science and Engineering
The isotropic form of the classical space-dependent neutron slowing down problems is solved by ap... more The isotropic form of the classical space-dependent neutron slowing down problems is solved by applying a Fourier transform with respect to optical distance to the appropriate transport equation and boundary conditions. An analytical solution, step-by-step with respect to the ''relative'' lethargy, is constructed in the transform space; the inversion is facilitated by the use of Bromwich's technique. In the process, a procedure for determining the lethargy-dependent spatial moments of the total (scalar) flux is developed.
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Nuclear Science and Engineering
ABSTRACT
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ABSTRACT
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Rivista di Matematica della Universita di Parma
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Transport Theory and Statistical Physics
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ABSTRACT
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Kinetic and Related Models, 2011
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We deal with a diatomic gas diffusing in a background medium. The gas is modelled as a mixture ma... more We deal with a diatomic gas diffusing in a background medium. The gas is modelled as a mixture made up by atoms and molecules undergoing reactions of dissociation and recombination through a transition state. In the fluid-dynamic regime, two (slightly) different scalings are addressed, that lead to a formal derivation of hydrodynamic equations which are not necessarily of reaction-diffusion type though they both involve diffusive terms in the number densities.
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ZAMP Zeitschrift f�r angewandte Mathematik und Physik, 1983
The pure removal effects taking place in a mixture of two species of particles are studied throug... more The pure removal effects taking place in a mixture of two species of particles are studied through an application of the time-dependent space-independent nonlinear integrodifferential Boltzmann equation. Explicit results for the distribution function as well as a generalization of the continuity equation for the total density of the particles to be considered are obtained for the case when the relevant removal parameters are constant. For the general case existence and uniqueness of the solution for the distribution function are proved by an application of the contracting mapping principle.
Bookmarks Related papers MentionsView impact
ZAMP Journal of Applied Mathematics and Physics, 1986
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Zeitschrift für angewandte Mathematik und Physik, 2001
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Transport Theory and Statistical Physics, 2007
In the framework of recently introduced consistent BGK approximations of the Boltzmann equations ... more In the framework of recently introduced consistent BGK approximations of the Boltzmann equations for both reactive and non-reactive gas mixtures, the problem of an appropriate choice of the relaxation times, which represent the crucial parameters of the model, is addressed. In this first approach, BGK results are tested versus the only exact analytical solutions available in the literature for mixtures,
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Transport Theory and Statistical Physics, 1981
ABSTRACT
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Transport Theory and Statistical Physics, 2001
ABSTRACT
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