Local existence and global nonexistence results for the integro-differential diffusion system with nonlocal nonlinearity

Authorea ◽  
2020 ◽  
Author(s):  
Meiirkhan Borikhanov ◽  
Berikbol Torebek
Keyword(s):  
Local Existence ◽  
Diffusion System ◽  
Nonlocal Nonlinearity ◽  
Differential Diffusion ◽  
Global Nonexistence

1.—On the Existence of Solutions of a Nonlinear Differential Diffusion System.

1972 ◽  
Vol 71 (1) ◽  
pp. 1-7
Author(s):  
C. F. Lee
Keyword(s):  
Differential System ◽  
Diffusion Coefficients ◽  
Existence Of Solutions ◽  
Diffusion System ◽  
Differential Diffusion

SynopsisThe existence and the properties of the solutions of a nonlinear differential system describing a diffusion system with concentration-dependent diffusion coefficients are investigated. It is shown that there exists at least one solution which is monotonie decreasing and asymptotically tends to the prescribed value.

scholarly journals A Reaction-Diffusion System with Nonlinear Nonlocal Boundary Conditions

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Alexander Gladkov ◽  
Alexandr Nikitin
Keyword(s):  
Boundary Conditions ◽  
Nonlocal Boundary ◽  
Local Existence ◽  
Reaction Diffusion ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Nonlocal Boundary Conditions ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Initial Boundary Value

We consider initial boundary value problem for a reaction-diffusion system with nonlinear and nonlocal boundary conditions and nonnegative initial data. We prove local existence, uniqueness, and nonuniqueness of solutions.

An Intelligent and Decentralized Content Diffusion System in Smart-Router Networks

2019 ◽  
Vol E102.B (8) ◽  
pp. 1595-1606
Author(s):  
Hanxing XUE ◽  
Jiali YOU ◽  
Jinlin WANG
Keyword(s):  
Diffusion System
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