Free Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations

2013 ◽  
Author(s):  
Kelei Wang
Keyword(s):  
Asymptotic Behavior ◽  
Partial Differential Equations ◽  
Free Boundary ◽  
Differential Equations ◽  
Free Boundary Problems ◽  
Singularly Perturbed ◽  
Partial Differential ◽  
Boundary Problems

scholarly journals Nonstationary Fronts in the Singularly Perturbed Power-Society Model

2013 ◽  
Vol 2013 ◽  
pp. 1-8
Author(s):  
M. G. Dmitriev ◽  
A. A. Pavlov ◽  
A. P. Petrov
Keyword(s):  
Steady State ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Singularly Perturbed ◽  
Parabolic Partial Differential Equations ◽  
Partial Differential ◽  
Boundary Problems ◽  
Applied Model ◽  
Parametric Control ◽  
Nonlinear Parabolic

The theory of contrasting structures in singularly perturbed boundary problems for nonlinear parabolic partial differential equations is applied to the research of formation of steady state distributions of power within the nonlinear “power-society” model. The interpretations of the solutions to the equation are presented in terms of applied model. The possibility theorem for the problem of getting the solution having some preassigned properties by means of parametric control is proved.

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