Stability Study of Stationary Solutions of the Viscous Burgers Equation

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.