Conservative solutions to a nonlinear variational wave equation

Research output: Contribution to journalArticle

40 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)471-497
Number of pages27
JournalCommunications In Mathematical Physics
Volume266
Issue number2
DOIs
StatePublished - Sep 1 2006

Fingerprint

Variational Equation
Cauchy problem
Smooth function
wave equations
Weak Solution
Wave equation
Cauchy Problem
Energy
energy

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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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",
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Conservative solutions to a nonlinear variational wave equation. / Bressan, Alberto; Zheng, Yuxi.

In: Communications In Mathematical Physics, Vol. 266, No. 2, 01.09.2006, p. 471-497.

Research output: Contribution to journalArticle

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