92-167 Collet P., Eckmann J.-P., Epstein H., Stubbe J.
Analyticity for the Kuramoto-Sivashinsky Equation (164K, Postscript) Oct 23, 92
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Abstract. We study the analyticity properties of solutions of the Kuramoto-Sivashinsky equation $$\partial_t U(x,t) \,=\, -(\partial_x^2+\partial_x^4)U(x,t) - U(x,t)\partial_x U(x,t)~,$$ for initial data which are periodic with period $L$. Numerical experiments are presented which show that the solutions of the \KS-equation are analytic in a strip around the real axis whose width is independent of $L$. A rigorous lower bound $O(L^{-16/25})$ is given for this width.

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