Forced vibrations for a nonlinear wave equation
✍ Scribed by H. Brézis; L. Nirenberg
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 909 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0010-3640
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract Under very general assumptions, the authors prove that smooth solutions of quasilinear wave equations with small‐amplitude periodic initial data always develop singularities in the second derivatives in finite time. One consequence of these results is the fact that all solutions of the
Exact traveling wave profiles are here obtained for a general reaction-diffusionconvection equation, a two-phase flow equation, a generalized Harry᎐Dym equa-Ž . tion, a generalized Korteweg᎐de Vries KdV equation, a modified mKdV equation, a branching network model equation, a Nagumo equation, and a
Vortex dynamics for the nonlinear wave equation is a typical model of the "particle and field" theories of classical physics. The formal derivation of the dynamical law was done by J. Neu. He also made an interesting connection between vortex dynamics and the Dirac theory of electrons. Here we give