INVARIANT IMBEDDING AND TRANSPORT THEORY: A UNIFIED APPROACH
Journal Article
·
· J. Math. Anal. and Appls.
Invariant imbedding formulations of several important transport problems are derived from the reduction of twopoint value problems to initial value problems. The results of this derivation are applied to a classical problem of transport in a slab, assuming discrete angular dependence. The results suggest analogous results for continuous angular dependence in the transport in the slab, and the formulations are also applied to this problem. The results are also obtained for time-dependent problems. In all these formulations, the functions are assumed tinuous and differentiable to justify the operations performed. This formalism is discussed and the possibility of putting the invariant imbedding method on a rigorous basis is analyzed. (N.W.R.)
- Research Organization:
- Sandia Corp., Albuquerque, N. Mex.
- NSA Number:
- NSA-15-026843
- OSTI ID:
- 4000347
- Report Number(s):
- SCR-401
- Journal Information:
- J. Math. Anal. and Appls., Journal Name: J. Math. Anal. and Appls. Vol. Vol: 2
- Country of Publication:
- United States
- Language:
- English
Similar Records
The Application of Invariant Imbedding to Shielding Problems
A RIGOROUS DERIVATION OF SOME INVARIANT IMBEDDING EQUATIONS OF TRANSPORT THEORY
ON THE FUNDAMENTAL EQUATIONS OF INVARIANT IMBEDDING. PART I
Technical Report
·
Thu Mar 08 23:00:00 EST 1962
·
OSTI ID:4801693
A RIGOROUS DERIVATION OF SOME INVARIANT IMBEDDING EQUATIONS OF TRANSPORT THEORY
Journal Article
·
Fri Jan 31 23:00:00 EST 1964
· J. Math. Anal. and Appls.
·
OSTI ID:4062264
ON THE FUNDAMENTAL EQUATIONS OF INVARIANT IMBEDDING. PART I
Journal Article
·
Tue Feb 28 23:00:00 EST 1961
· Proc. Natl. Acad. Sci. U.S.
·
OSTI ID:4058466