ON A TIME-DEPENDENT TRANSPORT EQUATION IN A LIPSCHITZ DOMAIN

被引：5

作者：

Girault, V. ^{[1
,2
]}

Scott, L. Ridgway ^{[3
]}

机构：

[1] UPMC Paris 6, UMR 7598, F-75005 Paris, France

[2] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

[3] Univ Chicago, Dept Math, Chicago, IL 60637 USA

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2010年 / 42卷 / 04期

关键词：

transport equation; Lipschitz domain; tangential velocity;

D O I：

10.1137/09077285X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove uniqueness of the solution of a time-dependent transport equation with a divergence-free driving velocity that is L-1 in time and H-1 in space, in a Lipschitz domain of R-d, tangential on the boundary. The proof is done by regularization with a special mollifier.

引用

页码：1721 / 1731

页数：11

共 50 条

[41] A Fast Algorithm for Time-Dependent Radiative Transport Equation Based on Integral Formulation
Zhao, Hongkai
Zhong, Yimin
CSIAM TRANSACTIONS ON APPLIED MATHEMATICS, 2020, 1 (02): : 346 - 364
[42] EXACT TIME-DEPENDENT SPATIAL AND LEGENDRE MOMENTS FOR MONOENERGETIC TRANSPORT-EQUATION
CANFIELD, EH
NUCLEAR SCIENCE AND ENGINEERING, 1974, 53 (02) : 137 - 140
[43] Generalized Master Equation Approach to Time-Dependent Many-Body Transport
Moldoveanu, Valeriu
Manolescu, Andrei
Gudmundsson, Vidar
ENTROPY, 2019, 21 (08)
[44] TIME-DEPENDENT MOMENTS OF MONOENERGETIC TRANSPORT-EQUATION IN SPHERICAL AND CYLINDRICAL GEOMETRY
GANAPOL, BD
NUCLEAR SCIENCE AND ENGINEERING, 1976, 60 (01) : 103 - 105
[45] SOLUTIONS OF MONOENERGETIC TIME-DEPENDENT NEUTRON-TRANSPORT EQUATION IN SLAB GEOMETRY
YAMAGISHI, T
JOURNAL OF NUCLEAR SCIENCE AND TECHNOLOGY, 1973, 10 (05) : 284 - 291
[46] Vectorization of the time-dependent Boltzmann transport equation: Application to deep penetration problems
Cobos, Agustin C.
Poma, Ana L.
Alvarez, Guillermo D.
Sanz, Dario E.
RADIATION PHYSICS AND CHEMISTRY, 2016, 127 : 102 - 114
[47] ANALYTICAL SOLUTION OF THE ONE-DIMENSIONAL TIME-DEPENDENT TRANSPORT-EQUATION
BASHA, HA
ELHABEL, FS
WATER RESOURCES RESEARCH, 1993, 29 (09) : 3209 - 3214
[48] Simulation of quantum transport of coherent electrons by solving the time-dependent Schrodinger Equation
Fasol, G
ADVANCES IN COLLOID AND INTERFACE SCIENCE, 1997, 71-2 : 77 - 92
[49] Time-dependent RF swarm transport by direct numerical procedure of the Boltzmann equation
Maeda, Kenji, 1600, JJAP, Minato-ku, Japan (33):
[50] QUASISTATIC TREATMENT OF TIME-DEPENDENT DISCRETE ORDINATES NEUTRON-TRANSPORT EQUATION
SMITH, LL
TRANSACTIONS OF THE AMERICAN NUCLEAR SOCIETY, 1976, 23 (JUN18): : 205 - 206

← 1 2 3 4 5 →