Description
The purpose of this code is to test global stability of scalar, 1D, quadratic PDEs, by testing for existence of a quadratic Lyapunov function. At this point, the code only includes a few examples, namely Burgers' Equation, Kortweg-De Vries Equation, and Kuramoto-Sivashinsky Equation, for which stability can be tested by uncommenting the appropriate line in "Test_Stability_Quadratic_PDE". For theoretical background regarding the codes, we refer to arXiv:2303.16448.
| Date made available | 2023 |
|---|---|
| Publisher | Code Ocean |