Conservative Solutions to a Nonlinear Variational Wave Equation
By Alberto Bressan, Yuxi Zheng. 2005
93 citations recorded by the source corpus.
We establish the existence of a conservative weak solution to the Cauchy problem for the nonlinear variational wave equation utt − c(u)(c(u)ux)x=0, for initial data of finite energy. Here c(·) is any smooth function with uniformly positive bounded values.
Subfields: Mathematical Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/8a080782efbdbba796873eceaafb197cf84a4a86
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In Mathematical Physics
- Alberto Bressan
- Adrian Constantin
- Yue Liu
- Zhaoyang Yin
- Jonatan Lenells
- Yong Zhou
- Luigi Ambrosio
- David Henry
In Statistical and Nonlinear Physics
- Alberto Bressan
- Adrian Constantin
- Yue Liu
- Zhaoyang Yin
- Helge Holden
- Xavier Raynaud
- Yong Zhou
- David Henry
Citations in the corpus
- GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION (2007, methodology): “introduction of suitable Lagrangian variables, was pursued in [BZZ] and in [ BZ ], in connection with flrst and second order nonlinear wave equations respectively.”