Convergence analysis of the vortex blob method for the b-equation


Journal Article

In this paper, we prove the convergence of the vortex blob method for a family of nonlinear evolutionary partial differential equations (PDEs), the so-called b-equation. This kind of PDEs, including the Camassa-Holm equation and the Degasperis-Procesi equation, has many applications in diverse scientific fields. Our convergence analysis also provides a proof for the existence of the global weak solution to the b-equation when the initial data is a nonnegative Radon measure with compact support.

Full Text

Duke Authors

Cited Authors

  • Duan, Y; Liu, JG

Published Date

  • May 1, 2014

Published In

Volume / Issue

  • 34 / 5

Start / End Page

  • 1995 - 2011

Electronic International Standard Serial Number (EISSN)

  • 1553-5231

International Standard Serial Number (ISSN)

  • 1078-0947

Digital Object Identifier (DOI)

  • 10.3934/dcds.2014.34.1995

Citation Source

  • Scopus