On the blow-up of solutions to the periodic Camassa-Holm equation

Erik Wahlén

doi:10.1007/s00030-006-4028-6

On the blow-up of solutions to the periodic Camassa-Holm equation

Research output: Contribution to journal › Article › peer-review

Abstract

We prove a blow-up result for a nonlinear shallow water equation by showing that certain initial profiles evolve into breaking waves.

Original language	English
Pages (from-to)	643-653
Journal	Nodea. Nonlinear Differential Equations and Applications
Volume	13
Issue number	5-6
DOIs	https://doi.org/10.1007/s00030-006-4028-6
Publication status	Published - 2007

Subject classification (UKÄ)

Mathematical Sciences

Free keywords

Wave breaking
Sobolev inequalities

Access to Document

10.1007/s00030-006-4028-6

Cite this

@article{a546bcf21b2448ee88193227128030bb,

title = "On the blow-up of solutions to the periodic Camassa-Holm equation",

abstract = "We prove a blow-up result for a nonlinear shallow water equation by showing that certain initial profiles evolve into breaking waves.",

keywords = "Wave breaking, Sobolev inequalities",

author = "Erik Wahl{\'e}n",

year = "2007",

doi = "10.1007/s00030-006-4028-6",

language = "English",

volume = "13",

pages = "643--653",

journal = "Nodea. Nonlinear Differential Equations and Applications",

issn = "1021-9722",

publisher = "Birkh{\"a}user",

number = "5-6",

}

TY - JOUR

T1 - On the blow-up of solutions to the periodic Camassa-Holm equation

AU - Wahlén, Erik

PY - 2007

Y1 - 2007

N2 - We prove a blow-up result for a nonlinear shallow water equation by showing that certain initial profiles evolve into breaking waves.

AB - We prove a blow-up result for a nonlinear shallow water equation by showing that certain initial profiles evolve into breaking waves.

KW - Wave breaking

KW - Sobolev inequalities

UR - https://www.scopus.com/pages/publications/34547235503

U2 - 10.1007/s00030-006-4028-6

DO - 10.1007/s00030-006-4028-6

M3 - Article

SN - 1021-9722

VL - 13

SP - 643

EP - 653

JO - Nodea. Nonlinear Differential Equations and Applications

JF - Nodea. Nonlinear Differential Equations and Applications

IS - 5-6

ER -

On the blow-up of solutions to the periodic Camassa-Holm equation

Abstract

Subject classification (UKÄ)

Free keywords

Access to Document

Other files and links

Fingerprint

Cite this