On the Davey-Stewartson system with competing nonlinearities

On the Davey-Stewartson system with competing nonlinearities

This paper is concerned with the blow-up solutions for the Davey-Stewartson system with competing nonlinearities, which results in the loss of scaling invariance. The best constant of a new gG-N type inequality is given to find the sharp threshold mass of blow-up and global existence. Moreover, unde...

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Veröffentlicht in:Journal of mathematical physics 2016-03, Vol.57 (3), p.1
1. Verfasser: Zhu, Shihui
Format: Artikel
Sprache:eng
Schlagworte:
Fluid dynamics
Mathematical analysis
Nonlinear systems
Physics
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Zusammenfassung:This paper is concerned with the blow-up solutions for the Davey-Stewartson system with competing nonlinearities, which results in the loss of scaling invariance. The best constant of a new gG-N type inequality is given to find the sharp threshold mass of blow-up and global existence. Moreover, under the sharp threshold mass, the dynamical behavior of blow-up solutions is investigated, including L 2-concentration, L 2 weak limits, and limiting profile.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.4942633