Suboptimality and stability analysis for feedback boundary control of heat-diffusion equations

2002 ◽  
Author(s):  
B.S. Mordukhovich ◽  
K. Zhang
Keyword(s):  
Stability Analysis ◽  
Boundary Control ◽  
Heat Diffusion ◽  
Diffusion Equations

scholarly journals On the Issue of Radiation-Induced Instability in Binary Solid Solutions

2014 ◽  
Vol 2014 ◽  
pp. 1-5
Author(s):  
Santosh Dubey ◽  
S. K. Joshi ◽  
B. S. Tewari
Keyword(s):  
Solid Solution ◽  
Stability Analysis ◽  
Reaction Diffusion ◽  
Reaction Diffusion Equations ◽  
Diffusion Equations ◽  
Control Parameters ◽  
Binary Solid Solution ◽  
Nonlinear Reaction ◽  
Radiation Induced ◽  
The Stability

The stability of a binary solid solution under irradiation has been studied. This has been done by performing linear stability analysis of a set of nonlinear reaction-diffusion equations under uniform irradiation. Owing to the complexity of the resulting system of eigenvalue equations, a numerical solution has been attempted to calculate the dispersion relations. The set of reaction-diffusion equations represent the coupled dynamics of vacancies, dumbbell-type interstitials, and lattice atoms. For a miscible system (Cu-Au) under uniform irradiation, the initiation and growth of the instability have been studied as a function of various control parameters.

scholarly journals Analysis of algebraic multigrid parameters for two-dimensional steady-state heat diffusion equations

2012 ◽  
Vol 36 (7) ◽  
pp. 2996-3006 ◽  
Author(s):  
R. Suero ◽  
M.A.V. Pinto ◽  
C.H. Marchi ◽  
L.K. Araki ◽  
A.C. Alves
Keyword(s):  
Steady State ◽  
Algebraic Multigrid ◽  
Heat Diffusion ◽  
Diffusion Equations ◽  
Two Dimensional ◽  
State Heat ◽  
Steady State Heat
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