Non relativistic and ultra relativistic limits in 2D stochastic nonlinear damped Klein–Gordon equation

Non relativistic and ultra relativistic limits in 2D stochastic nonlinear damped Klein–Gordon equation

We study the non relativistic and ultra relativistic limits in the two-dimensional nonlinear damped Klein–Gordon equation driven by a space-time white noise on the torus. In order to take the limits, it is crucial to clarify the parameter dependence in the estimates of solution. In this paper we pre...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Nonlinearity 2022-06, Vol.35 (6), p.2878-2919
Hauptverfasser: Fukuizumi, Reika, Hoshino, Masato, Inui, Takahisa
Format: Artikel
Sprache:eng
Schlagworte:
damped nonlinear Klein–Gordon equation
non relativistic limit
stochastic partial differential equations
ultra relativistic limit
white noise
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 2919
container_issue 6
container_start_page 2878
container_title Nonlinearity
container_volume 35
creator Fukuizumi, Reika
Hoshino, Masato
Inui, Takahisa
description We study the non relativistic and ultra relativistic limits in the two-dimensional nonlinear damped Klein–Gordon equation driven by a space-time white noise on the torus. In order to take the limits, it is crucial to clarify the parameter dependence in the estimates of solution. In this paper we present two methods to confirm this parameter dependence. One is the classical, simple energy method. Another is the method via Strichartz estimates.
doi_str_mv 10.1088/1361-6544/ac64e0
format Article
fullrecord <record><control><sourceid>iop_cross</sourceid><recordid>TN_cdi_crossref_primary_10_1088_1361_6544_ac64e0</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>nonac64e0</sourcerecordid><originalsourceid>FETCH-LOGICAL-c346t-576b29f4f9d56473d61e2d5a58ecff867613953410b4406582d87af71b9da2943</originalsourceid><addsrcrecordid>eNp1kM1KAzEUhYMoWKt7l3kAx-ZOfmcpVasoutF1SCcJTZkmNZkK7nwH39AncWpFcOHqwsc9h8OH0CmQcyBKTYAKqARnbGJawRzZQ6NftI9GpOFQSQn8EB2VsiQEQNV0hBYPKeLsOtOH11D60GITLd50fTZ_cRdWoS84RFxf4tKndmG-eUyxC9GZjK1ZrZ3Fd50L8fP9Y5ayHbrdy2YoSfEYHXjTFXfyc8fo-frqaXpT3T_ObqcX91VLmegrLsW8bjzzjeWCSWoFuNpyw5VrvVdCCqANpwzInDEiuKqtksZLmDfW1A2jY0R2vW1OpWTn9TqHlclvGojemtJbLXqrRe9MDZGzXSSktV6mTY7DwP_fvwCGqWwW</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Non relativistic and ultra relativistic limits in 2D stochastic nonlinear damped Klein–Gordon equation</title><source>IOP Publishing Journals</source><source>Institute of Physics (IOP) Journals - HEAL-Link</source><creator>Fukuizumi, Reika ; Hoshino, Masato ; Inui, Takahisa</creator><creatorcontrib>Fukuizumi, Reika ; Hoshino, Masato ; Inui, Takahisa</creatorcontrib><description>We study the non relativistic and ultra relativistic limits in the two-dimensional nonlinear damped Klein–Gordon equation driven by a space-time white noise on the torus. In order to take the limits, it is crucial to clarify the parameter dependence in the estimates of solution. In this paper we present two methods to confirm this parameter dependence. One is the classical, simple energy method. Another is the method via Strichartz estimates.</description><identifier>ISSN: 0951-7715</identifier><identifier>EISSN: 1361-6544</identifier><identifier>DOI: 10.1088/1361-6544/ac64e0</identifier><identifier>CODEN: NONLE5</identifier><language>eng</language><publisher>IOP Publishing</publisher><subject>damped nonlinear Klein–Gordon equation ; non relativistic limit ; stochastic partial differential equations ; ultra relativistic limit ; white noise</subject><ispartof>Nonlinearity, 2022-06, Vol.35 (6), p.2878-2919</ispartof><rights>2022 IOP Publishing Ltd &amp; London Mathematical Society</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c346t-576b29f4f9d56473d61e2d5a58ecff867613953410b4406582d87af71b9da2943</citedby><cites>FETCH-LOGICAL-c346t-576b29f4f9d56473d61e2d5a58ecff867613953410b4406582d87af71b9da2943</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://iopscience.iop.org/article/10.1088/1361-6544/ac64e0/pdf$$EPDF$$P50$$Giop$$H</linktopdf><link.rule.ids>314,776,780,27901,27902,53821,53868</link.rule.ids></links><search><creatorcontrib>Fukuizumi, Reika</creatorcontrib><creatorcontrib>Hoshino, Masato</creatorcontrib><creatorcontrib>Inui, Takahisa</creatorcontrib><title>Non relativistic and ultra relativistic limits in 2D stochastic nonlinear damped Klein–Gordon equation</title><title>Nonlinearity</title><addtitle>Non</addtitle><addtitle>Nonlinearity</addtitle><description>We study the non relativistic and ultra relativistic limits in the two-dimensional nonlinear damped Klein–Gordon equation driven by a space-time white noise on the torus. In order to take the limits, it is crucial to clarify the parameter dependence in the estimates of solution. In this paper we present two methods to confirm this parameter dependence. One is the classical, simple energy method. Another is the method via Strichartz estimates.</description><subject>damped nonlinear Klein–Gordon equation</subject><subject>non relativistic limit</subject><subject>stochastic partial differential equations</subject><subject>ultra relativistic limit</subject><subject>white noise</subject><issn>0951-7715</issn><issn>1361-6544</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp1kM1KAzEUhYMoWKt7l3kAx-ZOfmcpVasoutF1SCcJTZkmNZkK7nwH39AncWpFcOHqwsc9h8OH0CmQcyBKTYAKqARnbGJawRzZQ6NftI9GpOFQSQn8EB2VsiQEQNV0hBYPKeLsOtOH11D60GITLd50fTZ_cRdWoS84RFxf4tKndmG-eUyxC9GZjK1ZrZ3Fd50L8fP9Y5ayHbrdy2YoSfEYHXjTFXfyc8fo-frqaXpT3T_ObqcX91VLmegrLsW8bjzzjeWCSWoFuNpyw5VrvVdCCqANpwzInDEiuKqtksZLmDfW1A2jY0R2vW1OpWTn9TqHlclvGojemtJbLXqrRe9MDZGzXSSktV6mTY7DwP_fvwCGqWwW</recordid><startdate>20220606</startdate><enddate>20220606</enddate><creator>Fukuizumi, Reika</creator><creator>Hoshino, Masato</creator><creator>Inui, Takahisa</creator><general>IOP Publishing</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20220606</creationdate><title>Non relativistic and ultra relativistic limits in 2D stochastic nonlinear damped Klein–Gordon equation</title><author>Fukuizumi, Reika ; Hoshino, Masato ; Inui, Takahisa</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c346t-576b29f4f9d56473d61e2d5a58ecff867613953410b4406582d87af71b9da2943</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>damped nonlinear Klein–Gordon equation</topic><topic>non relativistic limit</topic><topic>stochastic partial differential equations</topic><topic>ultra relativistic limit</topic><topic>white noise</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Fukuizumi, Reika</creatorcontrib><creatorcontrib>Hoshino, Masato</creatorcontrib><creatorcontrib>Inui, Takahisa</creatorcontrib><collection>CrossRef</collection><jtitle>Nonlinearity</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Fukuizumi, Reika</au><au>Hoshino, Masato</au><au>Inui, Takahisa</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Non relativistic and ultra relativistic limits in 2D stochastic nonlinear damped Klein–Gordon equation</atitle><jtitle>Nonlinearity</jtitle><stitle>Non</stitle><addtitle>Nonlinearity</addtitle><date>2022-06-06</date><risdate>2022</risdate><volume>35</volume><issue>6</issue><spage>2878</spage><epage>2919</epage><pages>2878-2919</pages><issn>0951-7715</issn><eissn>1361-6544</eissn><coden>NONLE5</coden><abstract>We study the non relativistic and ultra relativistic limits in the two-dimensional nonlinear damped Klein–Gordon equation driven by a space-time white noise on the torus. In order to take the limits, it is crucial to clarify the parameter dependence in the estimates of solution. In this paper we present two methods to confirm this parameter dependence. One is the classical, simple energy method. Another is the method via Strichartz estimates.</abstract><pub>IOP Publishing</pub><doi>10.1088/1361-6544/ac64e0</doi><tpages>42</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0951-7715
ispartof Nonlinearity, 2022-06, Vol.35 (6), p.2878-2919
issn 0951-7715
1361-6544
language eng
recordid cdi_crossref_primary_10_1088_1361_6544_ac64e0
source IOP Publishing Journals; Institute of Physics (IOP) Journals - HEAL-Link
subjects damped nonlinear Klein–Gordon equation
non relativistic limit
stochastic partial differential equations
ultra relativistic limit
white noise
title Non relativistic and ultra relativistic limits in 2D stochastic nonlinear damped Klein–Gordon equation
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-13T05%3A45%3A28IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-iop_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Non%20relativistic%20and%20ultra%20relativistic%20limits%20in%202D%20stochastic%20nonlinear%20damped%20Klein%E2%80%93Gordon%20equation&rft.jtitle=Nonlinearity&rft.au=Fukuizumi,%20Reika&rft.date=2022-06-06&rft.volume=35&rft.issue=6&rft.spage=2878&rft.epage=2919&rft.pages=2878-2919&rft.issn=0951-7715&rft.eissn=1361-6544&rft.coden=NONLE5&rft_id=info:doi/10.1088/1361-6544/ac64e0&rft_dat=%3Ciop_cross%3Enonac64e0%3C/iop_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true