Existence and Uniqueness of Solutions for a Quasilinear KdV Equation with Degenerate Dispersion. Issue 11 (8th May 2019)
- Record Type:
- Journal Article
- Title:
- Existence and Uniqueness of Solutions for a Quasilinear KdV Equation with Degenerate Dispersion. Issue 11 (8th May 2019)
- Main Title:
- Existence and Uniqueness of Solutions for a Quasilinear KdV Equation with Degenerate Dispersion
- Authors:
- Germain, Pierre
Harrop‐Griffiths, Benjamin
Marzuola, Jeremy L. - Abstract:
- Abstract: We consider a quasilinear KdV equation that admits compactly supported traveling wave solutions (compactons). This model is one of the most straightforward instances of degenerate dispersion, a phenomenon that appears in a variety of physical settings as diverse as sedimentation, magma dynamics and shallow water waves. We prove the existence and uniqueness of solutions with sufficiently smooth, spatially localized initial data. © 2019 Wiley Periodicals, Inc.
- Is Part Of:
- Communications on pure and applied mathematics. Volume 72:Issue 11(2019:Nov.)
- Journal:
- Communications on pure and applied mathematics
- Issue:
- Volume 72:Issue 11(2019:Nov.)
- Issue Display:
- Volume 72, Issue 11 (2019)
- Year:
- 2019
- Volume:
- 72
- Issue:
- 11
- Issue Sort Value:
- 2019-0072-0011-0000
- Page Start:
- 2449
- Page End:
- 2484
- Publication Date:
- 2019-05-08
- Subjects:
- Mathematics -- Periodicals
Mechanics -- Periodicals
Mathématiques -- Périodiques
Mécanique -- Périodiques
510.5 - Journal URLs:
- http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0312 ↗
http://onlinelibrary.wiley.com/ ↗ - DOI:
- 10.1002/cpa.21828 ↗
- Languages:
- English
- ISSNs:
- 0010-3640
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 3363.000000
British Library DSC - BLDSS-3PM
British Library STI - ELD Digital store - Ingest File:
- 11693.xml