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Keywords

Burgers Equation
Stability Analysis
Stationary Solutions

Abstract

Stability study of stationary solutions of the viscous Burgers equation using Fourier mode stability analysis for the stationary solutions , where  is constant and , in two cases is analyzed. Firstly when the wave amplitude  is constant and secondly when the wave amplitude  is variable. In the case of constant amplitude, the results found to be: The solution  is always stable while the solution  is conditionally stable. In the case of variable amplitude, it has been found that the solutions  and  are conditionally stable.  
https://doi.org/10.33899/csmj.2007.163993
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