Conservative solutions to a nonlinear variational wave equation

Alberto Bressan; Yuxi Zheng

doi:10.1007/s00220-006-0047-8

Conservative solutions to a nonlinear variational wave equation

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

Abstract

We establish the existence of a conservative weak solution to the Cauchy problem for the nonlinear variational wave equation u _tt - c(u)(c(u)u _x ) _x =0, for initial data of finite energy. Here c(•) is any smooth function with uniformly positive bounded values.

Original language	English (US)
Pages (from-to)	471-497
Number of pages	27
Journal	Communications In Mathematical Physics
Volume	266
Issue number	2
DOIs	https://doi.org/10.1007/s00220-006-0047-8
State	Published - Sep 2006

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1007/s00220-006-0047-8

Cite this

@article{c5ec051b7fce4e87802f52e2cb9e4c39,

title = "Conservative solutions to a nonlinear variational wave equation",

abstract = "We establish the existence of a conservative weak solution to the Cauchy problem for the nonlinear variational wave equation u tt - c(u)(c(u)u x ) x =0, for initial data of finite energy. Here c(•) is any smooth function with uniformly positive bounded values.",

author = "Alberto Bressan and Yuxi Zheng",

year = "2006",

month = sep,

doi = "10.1007/s00220-006-0047-8",

language = "English (US)",

volume = "266",

pages = "471--497",

journal = "Communications In Mathematical Physics",

issn = "0010-3616",

publisher = "Springer New York",

number = "2",

}

TY - JOUR

T1 - Conservative solutions to a nonlinear variational wave equation

AU - Bressan, Alberto

AU - Zheng, Yuxi

PY - 2006/9

Y1 - 2006/9

N2 - We establish the existence of a conservative weak solution to the Cauchy problem for the nonlinear variational wave equation u tt - c(u)(c(u)u x ) x =0, for initial data of finite energy. Here c(•) is any smooth function with uniformly positive bounded values.

AB - We establish the existence of a conservative weak solution to the Cauchy problem for the nonlinear variational wave equation u tt - c(u)(c(u)u x ) x =0, for initial data of finite energy. Here c(•) is any smooth function with uniformly positive bounded values.

UR - https://www.scopus.com/pages/publications/33746215045

UR - https://www.scopus.com/pages/publications/33746215045#tab=citedBy

U2 - 10.1007/s00220-006-0047-8

DO - 10.1007/s00220-006-0047-8

M3 - Article

AN - SCOPUS:33746215045

SN - 0010-3616

VL - 266

SP - 471

EP - 497

JO - Communications In Mathematical Physics

JF - Communications In Mathematical Physics

IS - 2

ER -

Conservative solutions to a nonlinear variational wave equation

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this