Mass Concentration for the Davey-Stewartson System

2009/09/02 by Geordie Richards, Richards, Geordie
Mathematics · #35Q55 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations #math.AP #msc:35Q55

paper · pdf · doi:10.48550/arxiv.0909.0492

18 pages

arxiv created 2009/09/02 · openalex publication_date 2009/09/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper is concerned with the analysis of blow-up solutions to the elliptic-elliptic Davey-Stewartson system, which appears in the description of the evolution of surface water waves. We prove a mass concentration property for H¹-solutions, analogous to the one known for the L²-critical nonlinear Schrödinger equation. We also prove a mass concentration result for L²-solutions.

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