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Exponential stabilization of the solution for time dependent neutron transport equation

Exponential stabilization of the solution for time dependent neutron transport equation In this paper, we consider the time dependent neutron transport system concerning a bounded convex medium inR 3 with continuous energy and antisotropic scattering and fission. Under the condition of σ(τ,v)≥ $$\int_{E \times V_\Omega } {k(r,v,\Omega ,v\prime ,\Omega \prime )} dv\prime d\Omega \prime $$ κ(τ,v,Ω,v′,Ω′)dv′dΩ′, we prove that the solution of the system is exponentially stable. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Exponential stabilization of the solution for time dependent neutron transport equation

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References (6)

Publisher
Springer Journals
Copyright
Copyright © 1995 by Science Press, Beijing, China and Allerton Press, Inc., New York, U.S.A.
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/BF02012627
Publisher site
See Article on Publisher Site

Abstract

In this paper, we consider the time dependent neutron transport system concerning a bounded convex medium inR 3 with continuous energy and antisotropic scattering and fission. Under the condition of σ(τ,v)≥ $$\int_{E \times V_\Omega } {k(r,v,\Omega ,v\prime ,\Omega \prime )} dv\prime d\Omega \prime $$ κ(τ,v,Ω,v′,Ω′)dv′dΩ′, we prove that the solution of the system is exponentially stable.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jul 14, 2005

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