Global well-posedness and scattering for the Zakharov system at the critical space in three spatial dimensions with small and radial initial data
type: Item
instance of: scholarly article
title: Global well-posedness and scattering for the Zakharov system at the critical space in three spatial dimensions with small and radial initial data
zbMATH Open document ID: 1500.35260
author: Isao Kato
author: Shinya Kinoshita
published in: Journal of Mathematical Analysis and Applications
publication date: 2022-10-13T00:00:00Z
review text: The authors study small, radial solutions of the Zakharov system modeling the Langmuir turbulence in plasmas in the three-dimensional case. The main result is the global well-posedness of the Cauchy problem obtained for small and radial initial data in the critical Sobolev spaces. Moreover, scattering is shown for such solutions. The use of radial Strichartz estimates is an essential ingredient of the proofs.
reviewed by: Piotr Biler
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35Q40
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35B33
Mathematics Subject Classification ID: 76X05
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A02
zbMATH DE Number: 7601343
zbMATH Keywords: three-dimensional Zakharov system
zbMATH Keywords: Cauchy problem
zbMATH Keywords: radial solutions
zbMATH Keywords: scattering
zbMATH Keywords: Strichartz estimates
MaRDI profile type: Publication
full work available at URL: j.jmaa.2022.126667
OpenAlex ID: W4295940560
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DOI: 10.1016/J.JMAA.2022.126667
description: scientific article; zbMATH DE number 7601343