Photo from archive.org
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… Click to show full abstract
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] .
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!