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Some properties of solutions to the periodic two-component hyperelastic-rod wave equation.
- Source :
-
Journal of Mathematical Analysis & Applications . Oct2013, Vol. 406 Issue 1, p49-65. 17p. - Publication Year :
- 2013
-
Abstract
- Abstract: In this paper, we study the Cauchy problem of the periodic two-component hyperelastic-rod wave equation. We first establish the local well-posedness and precise blow-up scenario. Then we obtain several blow-up results and the blowup rate of strong solutions. Moreover, we present two global existence results for strong solutions. Finally, we consider analyticity of solutions and the initial–boundary value problem. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 406
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 88986865
- Full Text :
- https://doi.org/10.1016/j.jmaa.2013.04.034