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| 1. |
Constructive solution of the linearized Boltzmann equation. Scalar BGK model equation |
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Transport Theory and Statistical Physics,
Volume 7,
Issue 1-2,
1978,
Page 1-23
R.L. Bowden L.,
Freede Garbanati,
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摘要:
The following one-dimensional scalar equation arisingin the BGK model is studied.Methods of resolvent integration are used to obtain the so-called singular eigenfunction expansions for a certain Banach space of functions. Functional calculus for two related operators is then developed and application of this formalism is used to obtain solutions to the slip-flow problem.
ISSN:0041-1450
DOI:10.1080/00411457808204614
出版商:Taylor & Francis Group
年代:1978
数据来源: Taylor
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| 2. |
On the existence of complex relaxation lengths in an absorbing medium |
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Transport Theory and Statistical Physics,
Volume 7,
Issue 1-2,
1978,
Page 25-32
EdwardW. Larsen,
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ISSN:0041-1450
DOI:10.1080/00411457808204615
出版商:Taylor & Francis Group
年代:1978
数据来源: Taylor
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| 3. |
The mathematical relationship between the Phase Space Time Evolution method and the neutron transport equation |
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Transport Theory and Statistical Physics,
Volume 7,
Issue 1-2,
1978,
Page 33-50
R.B. Jones,
J.E. Campbell,
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PDF (652KB)
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摘要:
The neutron transport equation is shown to be analytically related to a quasi-simulation method called the Phase Space Time Evolution (PSTE) Technique. The analysis establishes the mathematical connection between two apparently different methods of treating particle/wave transport. With this relationship known, it is now possible to use quasi-simulation methods for nonphysical particles such as those which obey the adjoint transport equation.
ISSN:0041-1450
DOI:10.1080/00411457808204616
出版商:Taylor & Francis Group
年代:1978
数据来源: Taylor
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| 4. |
A fictitious slab with vanishing critical thickness |
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Transport Theory and Statistical Physics,
Volume 7,
Issue 1-2,
1978,
Page 51-59
E. inönü,
C. Tezcan,
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PDF (224KB)
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摘要:
In one-speed neutron transport theory, it is shown that a fictitious anisotropic fission and scattering kernel with an extreme forward bias would give a critical slab thickness varying non-monotonically with anisotropy. For this particular kernel, the critical thickness increases first with increasing forward bias but decreases later and vanishes at a pertain critical anisotropy. This is a geometrical effect which may be understood by considering the variation of the angular distribution with effectively increasing multiplicity.
ISSN:0041-1450
DOI:10.1080/00411457808204617
出版商:Taylor & Francis Group
年代:1978
数据来源: Taylor
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| 5. |
A nonlinear initial-value problem arising from kinetic theory of vehicular traffic |
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Transport Theory and Statistical Physics,
Volume 7,
Issue 1-2,
1978,
Page 61-79
E. Barone,
A. Belleni-Morante,
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摘要:
We study a nonlinear initial-value problem arising from a Boltzmann-like model of vehicular traffic on highways. First, we show that such a problem has a unique strict solution u = u(t) that belongs to a suitable Banach space X0, provided that t ϵ [0,¯] with ¯ suitably chosen. Then, we prove that u(t) belongs to the closed positive cone X+0, if u0= u(0) belongs to a suitable subset of X+n. Finally, we evaluate a continuous nonnegative real function y(t), such that ‖u(t)‖ ≤ y(t) at any t ϵ [0, ¯].
ISSN:0041-1450
DOI:10.1080/00411457808204618
出版商:Taylor & Francis Group
年代:1978
数据来源: Taylor
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