On the Cauchy problem for a nonlinearly dispersive wave equation
(2003) In Journal of Nonlinear Mathematical Physics 10(1). p.10-15- Abstract
- We establish the local well-posedness for a new nonlinearly dispersive wave equation and we show that the equation has solutions that exist for indefinite times as well as solutions which blowup in finite time. Furthermore, we derive an explosion criterion for the equation and we give a sharp estimate from below for the existence time of solutions with smooth initial data.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/318584
- author
- Yin, Zhaoyang LU
- organization
- publishing date
- 2003
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of Nonlinear Mathematical Physics
- volume
- 10
- issue
- 1
- pages
- 10 - 15
- publisher
- Taylor & Francis
- external identifiers
-
- wos:000180801200002
- scopus:0037281017
- ISSN
- 1402-9251
- DOI
- 10.2991/jnmp.2003.10.1.2
- language
- English
- LU publication?
- yes
- id
- ce97ee4b-6c5b-42c9-8662-2b728911983e (old id 318584)
- date added to LUP
- 2016-04-01 16:49:55
- date last changed
- 2022-04-15 07:21:29
@article{ce97ee4b-6c5b-42c9-8662-2b728911983e,
abstract = {{We establish the local well-posedness for a new nonlinearly dispersive wave equation and we show that the equation has solutions that exist for indefinite times as well as solutions which blowup in finite time. Furthermore, we derive an explosion criterion for the equation and we give a sharp estimate from below for the existence time of solutions with smooth initial data.}},
author = {{Yin, Zhaoyang}},
issn = {{1402-9251}},
language = {{eng}},
number = {{1}},
pages = {{10--15}},
publisher = {{Taylor & Francis}},
series = {{Journal of Nonlinear Mathematical Physics}},
title = {{On the Cauchy problem for a nonlinearly dispersive wave equation}},
url = {{http://dx.doi.org/10.2991/jnmp.2003.10.1.2}},
doi = {{10.2991/jnmp.2003.10.1.2}},
volume = {{10}},
year = {{2003}},
}