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Blow-up in several points for the Davey–Stewartson system in [formula omitted].
- Source :
-
Journal of Mathematical Analysis & Applications . Oct2018, Vol. 466 Issue 2, p1317-1326. 10p. - Publication Year :
- 2018
-
Abstract
- In this paper, we study the blow-up solutions for the Davey–Stewartson system in R 2 , which appears in the description of the evolution of surface water waves. For any given points x 1 , … , x p in R 2 , we construct a solution u ( t ) which blows up in finite time T exactly in these points. In addition, we investigate the precise behavior of the solution u ( t ) as t → T both at the blow-up points { x 1 , … , x p } and in R 2 ∖ { x 1 , … , x p } . Our result gives a rigorous analysis for the numerical result of Besse et al. in [2] . [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 466
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 130625881
- Full Text :
- https://doi.org/10.1016/j.jmaa.2018.06.060