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.
|Original language||English (US)|
|Number of pages||36|
|Journal||Communications on Pure and Applied Mathematics|
|State||Published - Nov 1 2019|
ASJC Scopus subject areas
- Applied Mathematics