Rotating bunsen flames as solutions of the Kuramoto-Sivashinsky equation |
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Authors: | Daniel Michelson |
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Institution: | (1) Department of Applied Mathematics and Computer Science, The Weizmann Institute of Science, 76100 Rehovot, Israel |
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Abstract: | Steadily rotating solutions of the Kuramoto-Sivashinsky equationu
t
+
2
u++¦u¦
2
=c
2
are studied. These solutions bifurcate from the steady radial solution of the above equation. For large values ofc and angular velocities such thatN¦¦<2c<(N+1)¦¦, we show that there exists a 2N-1 family of bifurcating solutions. The proof is based on a certain generic transversality assumption. A computer-assisted proof of this assumption is given for 1N10. |
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Keywords: | Bunsen flames Kuramoto-Sivashinsky equation rotating solutions interval arithmetic computer-assisted proofs |
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