 92167 Collet P., Eckmann J.P., Epstein H., Stubbe J.
 Analyticity for the KuramotoSivashinsky Equation
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Oct 23, 92

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Abstract. We study the analyticity properties of solutions of the
KuramotoSivashinsky 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
\KSequation 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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