Approximation to the global solution of generalized Zakharov equations in [Formula: see text]

We consider the initial value problem for the two-dimensional generalized Zakharov equations which model the propagation of Langmuir waves in plasmas. It is obtained that the solutions of the two-dimensional generalized Zakharov equations converge as [Formula: see text] to a solution of the Zakharov...

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Autor principal: You, Shujun
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6105182/
https://www.ncbi.nlm.nih.gov/pubmed/30839574
http://dx.doi.org/10.1186/s13660-018-1813-9
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author You, Shujun
author_facet You, Shujun
author_sort You, Shujun
collection PubMed
description We consider the initial value problem for the two-dimensional generalized Zakharov equations which model the propagation of Langmuir waves in plasmas. It is obtained that the solutions of the two-dimensional generalized Zakharov equations converge as [Formula: see text] to a solution of the Zakharov equations. Both weak and strong solutions are considered.
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spelling pubmed-61051822018-08-30 Approximation to the global solution of generalized Zakharov equations in [Formula: see text] You, Shujun J Inequal Appl Research We consider the initial value problem for the two-dimensional generalized Zakharov equations which model the propagation of Langmuir waves in plasmas. It is obtained that the solutions of the two-dimensional generalized Zakharov equations converge as [Formula: see text] to a solution of the Zakharov equations. Both weak and strong solutions are considered. Springer International Publishing 2018-08-22 2018 /pmc/articles/PMC6105182/ /pubmed/30839574 http://dx.doi.org/10.1186/s13660-018-1813-9 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
You, Shujun
Approximation to the global solution of generalized Zakharov equations in [Formula: see text]
title Approximation to the global solution of generalized Zakharov equations in [Formula: see text]
title_full Approximation to the global solution of generalized Zakharov equations in [Formula: see text]
title_fullStr Approximation to the global solution of generalized Zakharov equations in [Formula: see text]
title_full_unstemmed Approximation to the global solution of generalized Zakharov equations in [Formula: see text]
title_short Approximation to the global solution of generalized Zakharov equations in [Formula: see text]
title_sort approximation to the global solution of generalized zakharov equations in [formula: see text]
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6105182/
https://www.ncbi.nlm.nih.gov/pubmed/30839574
http://dx.doi.org/10.1186/s13660-018-1813-9
work_keys_str_mv AT youshujun approximationtotheglobalsolutionofgeneralizedzakharovequationsinformulaseetext

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