Stability study of stationary solutions of the viscous burgers equation

الملخص EN

Stability study of stationary solutions of the viscous Burgers equation using Fourier mode stability analysis for the stationary solutions u = D 1, where D is constant and 0 1 1 1 u = u x £ x £, in two cases is analyzed.

Firstly when the wave amplitude A is constant and secondly when the wave amplitude A is variable.

In the case of constant amplitude, the results found to be : the solution u = D 1 is always stable while the solution u (x) 1 1 = is conditionally stable.

In the case of variable amplitude, it has been found that the solutions u = D 1 and 0 1 1 1 u = u x £ x £ are conditionally stable.