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Contents
Subsections
Introduction
Theoretical study of the Karamoto-Sivashinsky equation
Diminution of the number of parameter
Stability of the solution
Theory
0 is stable
0 is instable
Program used for simulating the Karamoto-Sivashinsky equation
Numerical observations
Concerning the equation
Concerning the boundary conditions and the initialization
The program
Bifurcation of KSE
Domain of stability
First bifurcation
Linear stability theory
Unlinear stability
Second bifurcation
Thrid bifurcation
Other interesting phenomenon
Prolongation of oscillating travelling wave
Instability of the second order modes
Conclusion
Julien Delbove
2000-11-23
