Geodesic
On the Existence of Solutions of a Nonlinear Integro-Differential System of Transport Equations
Matematičeskie zametki, Tome 90 (2011) no. 1, pp. 113-136

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider the system of equations describing transport processes in inhomogeneous distributed media, such as those in nuclear reactors. For a given system of equations, a mixed problem is posed. Under certain conditions on the initial data, we prove the global solvability of the problem in the weak generalized sense by using the standard scheme of nonlinear functional analysis.
Keywords: nonlinear integro-differential system, inhomogeneous distributed media, Banach space, Lyapunov surface, diffusion operator, Sobolev space, Cauchy problem, Gronwall–Bellman lemma.
Mots-clés : transport equations 
@article{MZM_2011_90_1_a10,
     author = {R. S. Makin},
     title = {On the {Existence} of {Solutions} of a {Nonlinear} {Integro-Differential} {System} of {Transport} {Equations}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {113--136},
     publisher = {mathdoc},
     volume = {90},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2011_90_1_a10/}
}
TY  - JOUR
AU  - R. S. Makin
TI  - On the Existence of Solutions of a Nonlinear Integro-Differential System of Transport Equations
JO  - Matematičeskie zametki
PY  - 2011
SP  - 113
EP  - 136
VL  - 90
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2011_90_1_a10/
LA  - ru
ID  - MZM_2011_90_1_a10
ER  - 
%0 Journal Article
%A R. S. Makin
%T On the Existence of Solutions of a Nonlinear Integro-Differential System of Transport Equations
%J Matematičeskie zametki
%D 2011
%P 113-136
%V 90
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2011_90_1_a10/
%G ru
%F MZM_2011_90_1_a10
R. S. Makin. On the Existence of Solutions of a Nonlinear Integro-Differential System of Transport Equations. Matematičeskie zametki, Tome 90 (2011) no. 1, pp. 113-136. http://geodesic.mathdoc.fr/item/MZM_2011_90_1_a10/