| Title:
|
Initial condition in the theory of neutron transport (English) |
| Author:
|
Kyncl, Jan |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
17 |
| Issue:
|
4 |
| Year:
|
1972 |
| Pages:
|
245-253 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
The transport equation for the neutron density in an infinite absorbing and non-multiplying medium is discussed provided the initial distribution is known. The macroscopic effective cross-sections and sources are considered to be functions of spatial, angular, energetic and time coordinates. Two theorems asserting the existence and uniqueness of the solution of the problem are presented. () |
| MSC:
|
81-41 |
| idMR:
|
MR0311231 |
| DOI:
|
10.21136/AM.1972.103416 |
| . |
| Date available:
|
2008-05-20T17:53:48Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103416 |
| . |
| Reference:
|
[1] J. Mika: The initial-value problem in neutron thermalization.Nukleonik 9 (1967), 303. |
| Reference:
|
[2] J. T. Marti: Mathematical foundations of kinetics in neutron transport theory.Nukleonik 8 (1966), 159-163. Zbl 0134.12702 |
| Reference:
|
[3] I. Vidav: Existence and uniqueness of nonnegative eigenfunctions of the Boltzmann operator.Journ. of Math. Ann. and Appl. 22 (1968), 144-155. Zbl 0155.19203, MR 0230531, 10.1016/0022-247X(68)90166-2 |
| Reference:
|
[4] J. Potoček: Iterative methods.(reports lectured at Mathematical Institute of Charles's University) Prague 1958-1959. |
| Reference:
|
[5] Э. Камке: Справочник по дифференциальным уравнениям в частных производных первого порядка.Москва 1966. Zbl 1155.78304 |
| . |
