On the existence of solutions of a nonlinear integro-differential system of transport equations (Q764019)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On the existence of solutions of a nonlinear integro-differential system of transport equations |
scientific article; zbMATH DE number 6013931
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the existence of solutions of a nonlinear integro-differential system of transport equations |
scientific article; zbMATH DE number 6013931 |
Statements
On the existence of solutions of a nonlinear integro-differential system of transport equations (English)
0 references
13 March 2012
0 references
The author discusses the existence of solutions of a nonlinear integro differential system of transport equations. In particular he considers the system of equations describing a transport process in inhomogeneous distributed media such as nuclear reactors. For a given system of equations a mixed problem is proposed and global stability is discussed under certain conditions on the initial data.
0 references
nonlinear integro-differential system
0 references
transport equations
0 references
inhomogeneous distributed media
0 references
Banach space
0 references
Lyapunov surface
0 references
diffusion operator
0 references
Sobolev space
0 references
Cauchy problem
0 references
Gronwall-Bellman lemma
0 references
nuclear reactors
0 references
global stability
0 references
