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Steady state solutions to the conserved Kuramoto–Sivashinsky equation
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Hela Trojette
,
Ayman Eldoussouki
Published/Copyright:
January 19, 2012
Abstract.
We study stationary solutions to the conserved Kuramoto–Sivashinsky equation
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
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Articles in the same Issue
- Prelims
- Warfield invariants of normed unit groups in abelian group rings
- Opdam's hypergeometric functions: product formula and convolution structure in dimension 1
- On generalized Laplace equation and nonlinear operators
- Steady state solutions to the conserved Kuramoto–Sivashinsky equation
- Variational analysis for an indefinite quasilinear problem with variable exponent
- A probabilistic counterpart of the Askey scheme for continuous polynomials
- A characterisation of the Weyl transform
Keywords for this article
Conserved Kuramoto–Sivashinsky equation;
crystal growth;
stationary periodic solution
Articles in the same Issue
- Prelims
- Warfield invariants of normed unit groups in abelian group rings
- Opdam's hypergeometric functions: product formula and convolution structure in dimension 1
- On generalized Laplace equation and nonlinear operators
- Steady state solutions to the conserved Kuramoto–Sivashinsky equation
- Variational analysis for an indefinite quasilinear problem with variable exponent
- A probabilistic counterpart of the Askey scheme for continuous polynomials
- A characterisation of the Weyl transform
