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On the Solution of the Boltzmann Transport Equation
physica status solidi (b), 1963AbstractThe Boltzmann equation is solved for homogeneous electric and magnetic fields (E and H) and a temperature gradient ∂T/∂r. The solution is presented as an ascending power series in E, H, and ∂T/∂r. In contrast to common procedure this treatment is not restricted to the linearized form of the equation and the relaxation time approximation, and no
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Symmetries and global transport equations
Physics of Fluids B: Plasma Physics, 1991The anomalous transport of the electron thermal energy and that of the longitudinal current density are related to each other and described by a diffusion matrix equation. The symmetry properties of the matrix diffusion coefficients are identified and used to prescribe realistic conditions on the radial profiles of the electron temperature T and of the
COPPI B, PEGORARO, FRANCESCO
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Transport equation with fuzzy data
2018Summary: In this paper, we use the generalized differentiability concept to study the fuzzy transport equation. We consider transport equation in the homogeneous and non-homogeneous cases with fuzzy initial condition. We also present the solution when speed parameter is a fuzzy number.
Bahrami, Fariba +2 more
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On the Transport Equation in Quantum Mechanics
Journal of the Physical Society of Japan, 1961By means of a time-dependent perturbation procedure similar to that developed by Prigogine, the transport equation for a particle in a Bose-Einstein medium is obtained. This equation shows also a non local character.
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On equation of gas transport in the lung
Respiration Physiology, 1975Based upon Weibel's lung model, an equation which describes one-dimensional gas transport in the lung is derived. It is shown in this equation that the gas transport in the airways is due simultaneously to bulk motion and longitudinal diffusion. The longitudinal diffusion consists of the usual molecular diffusion and an apparent diffusion which arises ...
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On the Scalar Transport Equation
Proceedings of the London Mathematical Society, 1964openaire +2 more sources
Equation of Motion and Vorticity Transport
2001Fluid flow is established in response to an external action mediated by boundary motion, by the application of a surface force, or by the presence of a body force. The evolution of a transient flow and the structure of a steady flow established after an initial start-up period of time are governed by two fundamental principles of thermodynamics and ...
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