Startseite Steady state solutions to the conserved Kuramoto–Sivashinsky equation
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Steady state solutions to the conserved Kuramoto–Sivashinsky equation

  • Hela Trojette EMAIL logo , Ayman Eldoussouki , Mohamed Abaidi und Mohammed Guedda
Veröffentlicht/Copyright: 19. Januar 2012
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Advances in Pure and Applied Mathematics
Aus der Zeitschrift Band 3 Heft 1

Abstract.

We study stationary solutions to the conserved Kuramoto–Sivashinsky equation

th+y2f48(f+12)h+y2h+f12(yh)2=0.

This equation has recently been proposed to describe the step meandering instability on a vicinal surface. Attention is focussed on stationary periodic solutions which are the key for the coarsening process.

Received: 2011-04-10
Accepted: 2011-05-14
Published Online: 2012-01-19
Published in Print: 2012-January

© 2012 by Walter de Gruyter Berlin Boston

Heruntergeladen am 4.10.2025 von https://www.degruyterbrill.com/document/doi/10.1515/apam.2011.010/html
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