# American Institute of Mathematical Sciences

January  2015, 2(1): 95-142. doi: 10.3934/jcd.2015.2.95

## Steady state bifurcations for the Kuramoto-Sivashinsky equation: A computer assisted proof

 1 Institute of Computer Science, Jagiellonian University, Lojasiewicza 6, 30-348 Kraków, Poland

Received  May 2012 Revised  January 2015 Published  August 2015

We apply the method of self-consistent bounds to prove the existence of multiple steady state bifurcations for Kuramoto-Sivashinski PDE on the line with odd and periodic boundary conditions.
Citation: Piotr Zgliczyński. Steady state bifurcations for the Kuramoto-Sivashinsky equation: A computer assisted proof. Journal of Computational Dynamics, 2015, 2 (1) : 95-142. doi: 10.3934/jcd.2015.2.95
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