THE WELL-POSEDNESS OF THE KURAMOTO-SIVASHINSKY EQUATION
| dc.contributor.author | Tadmor, Eitan | |
| dc.date.accessioned | 2008-09-29T16:55:17Z | |
| dc.date.available | 2008-09-29T16:55:17Z | |
| dc.date.issued | 1986-07 | |
| dc.description.abstract | The Kuramoto-Sivashinsky equation arises in a variety of applications, among which are modeling reaction-diffusion systems, flame-propagation and viscous flow problems. It is considered here, as a prototype to the larger class of generalized Burgers equations: those consist of quadratic nonlinearity and arbitrary linear parabolic part. We show that such equations are well-posed, thus admitting a unique smooth solution, continuously dependent on its initial data. As an attractive alternative to standard energy methods, existence and stability are derived in this case, by "patching" in the large short time solutions without "loss of derivatives". | en |
| dc.format.extent | 950791 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.citation | E. Tadmor (1986). The well-posedness of the Kuramoto-Sivashinsky equation. SIAM Journal on Mathematical Analysis 17 (1986), 884-893. | en |
| dc.identifier.uri | http://hdl.handle.net/1903/8432 | |
| dc.language.iso | en_US | en |
| dc.publisher | copyright: Society for Industrial and Applied Mathematics | en |
| dc.relation.isAvailableAt | College of Computer, Mathematical & Physical Sciences | en_us |
| dc.relation.isAvailableAt | Mathematics | en_us |
| dc.relation.isAvailableAt | Digital Repository at the University of Maryland | en_us |
| dc.relation.isAvailableAt | University of Maryland (College Park, MD) | en_us |
| dc.subject | Kuramoto-Sivashinsky equation | en |
| dc.subject | fixed point iterations | en |
| dc.subject | existence | en |
| dc.subject | uniqueness | en |
| dc.subject | stability | en |
| dc.title | THE WELL-POSEDNESS OF THE KURAMOTO-SIVASHINSKY EQUATION | en |
| dc.type | Article | en |