Bounds and maximum principles for the solution of the linear transport equation
Journal Article
·
· SIAM J. Math. Anal.; (United States)
Pointwise bounds are derived for the solution of time-independent linear transport problems with surface sources in convex spatial domains. Under specified conditions, upper bounds are derived which, as a function of position, decrease with distance from the boundary. Also, sufficient conditions are obtained for the existence of maximum and minimum principles, and a counterexample is given which shows that such principles do not always exist.
- Research Organization:
- Los Alamos Scientific Lab., NM
- OSTI ID:
- 6258483
- Journal Information:
- SIAM J. Math. Anal.; (United States), Journal Name: SIAM J. Math. Anal.; (United States) Vol. 12:2; ISSN SJMAA
- Country of Publication:
- United States
- Language:
- English
Similar Records
The charge conserving Poisson-Boltzmann equations: Existence, uniqueness, and maximum principle
Maximum bound principles for a class of semilinear parabolic equations and exponential time differencing schemes
Maximum bound principle preserving integrating factor Runge–Kutta methods for semilinear parabolic equations
Journal Article
·
Thu May 15 00:00:00 EDT 2014
· Journal of Mathematical Physics
·
OSTI ID:22306212
Maximum bound principles for a class of semilinear parabolic equations and exponential time differencing schemes
Journal Article
·
Thu Apr 30 20:00:00 EDT 2020
· SIAM Review
·
OSTI ID:1631279
Maximum bound principle preserving integrating factor Runge–Kutta methods for semilinear parabolic equations
Journal Article
·
Tue May 04 20:00:00 EDT 2021
· Journal of Computational Physics
·
OSTI ID:1785013
Related Subjects
654001* -- Radiation & Shielding Physics-- Radiation Physics
Shielding Calculations & Experiments
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANALYTICAL SOLUTION
BANACH SPACE
BOUNDARY-VALUE PROBLEMS
COLLISIONS
EQUATIONS
FUNCTIONS
MATHEMATICAL SPACE
MATHEMATICS
NEUMANN SERIES
NEUTRAL-PARTICLE TRANSPORT
NEUTRON TRANSPORT
RADIATION TRANSPORT
SERIES EXPANSION
SPACE
TRANSPORT THEORY
Shielding Calculations & Experiments
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANALYTICAL SOLUTION
BANACH SPACE
BOUNDARY-VALUE PROBLEMS
COLLISIONS
EQUATIONS
FUNCTIONS
MATHEMATICAL SPACE
MATHEMATICS
NEUMANN SERIES
NEUTRAL-PARTICLE TRANSPORT
NEUTRON TRANSPORT
RADIATION TRANSPORT
SERIES EXPANSION
SPACE
TRANSPORT THEORY