On some laws of iterated logarithm for Burgers turbulence with Brownian initial data based on the concave majorant
We study the shock structure and the asymptotic behaviour of some flux across the origin in one-dimensional Burgers turbulence, the entropy solution to the inviscid Burgers equation, with random initial velocity for the uniformly distributed particles on the positive half line. We assume, in contras...
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| Veröffentlicht in: | Osaka journal of mathematics 2006-06, Vol.43 (no. 2), p.239-261 |
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| container_title | Osaka journal of mathematics |
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| creator | Isozaki, Yasuki |
| description | We study the shock structure and the asymptotic behaviour
of some flux across the origin in one-dimensional Burgers
turbulence, the entropy solution to the inviscid Burgers equation,
with random initial velocity for the uniformly distributed
particles on the positive half line. We assume, in contrast
to other works on Burgers turbulence, initially a vacuum state
on the negative half line. We also obtain some asymptotic
estimates for the concave majorant of Brownian motion. |
| format | Article |
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of some flux across the origin in one-dimensional Burgers
turbulence, the entropy solution to the inviscid Burgers equation,
with random initial velocity for the uniformly distributed
particles on the positive half line. We assume, in contrast
to other works on Burgers turbulence, initially a vacuum state
on the negative half line. We also obtain some asymptotic
estimates for the concave majorant of Brownian motion.</description><language>eng</language><publisher>Osaka University and Osaka City University, Departments of Mathematics</publisher><subject>60J25 ; 60J65 ; 60J75</subject><ispartof>Osaka journal of mathematics, 2006-06, Vol.43 (no. 2), p.239-261</ispartof><rights>Copyright 2006 Osaka University and Osaka City University, Departments of Mathematics</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>230,314,780,784,882,885,926</link.rule.ids></links><search><creatorcontrib>Isozaki, Yasuki</creatorcontrib><title>On some laws of iterated logarithm for Burgers turbulence with Brownian initial data based on the concave majorant</title><title>Osaka journal of mathematics</title><description>We study the shock structure and the asymptotic behaviour
of some flux across the origin in one-dimensional Burgers
turbulence, the entropy solution to the inviscid Burgers equation,
with random initial velocity for the uniformly distributed
particles on the positive half line. We assume, in contrast
to other works on Burgers turbulence, initially a vacuum state
on the negative half line. We also obtain some asymptotic
estimates for the concave majorant of Brownian motion.</description><subject>60J25</subject><subject>60J65</subject><subject>60J75</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2006</creationdate><recordtype>article</recordtype><sourceid/><recordid>eNotjM1qhDAUhd0U2k77DvcFhBh_ort2pH8gzKazlmtyMxPRZEhipW9foXIWH3zncO6TxxBGxopKCPaQ-JOF4GaCCdcAToOJ5DGSgsld0Jt4nUE7D8fFX8gHiIsflomsJFi3Eo7erdagBWNNNDiBwogwYNgenIV4JZDOSvwhmHF0Hm18Su40ToGedx6S8_vbd_uZdqePr_a1Sy0vq5gSMl6hqJoyGzjPGi0HlhdINVeyYbVoNslYVWimxDakeosqqpKXTCiNQ35IXv5_b96NJCMtcjKqv3kzo__tHZq-PXe73eHGuc-yknOWN1v-AFheYBI</recordid><startdate>20060601</startdate><enddate>20060601</enddate><creator>Isozaki, Yasuki</creator><general>Osaka University and Osaka City University, Departments of Mathematics</general><scope/></search><sort><creationdate>20060601</creationdate><title>On some laws of iterated logarithm for Burgers turbulence with Brownian initial data based on the concave majorant</title><author>Isozaki, Yasuki</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-n256t-ea026a76951b2219fcb034ae82dc908792210064f0d726ae8e8ed4652507dfab3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2006</creationdate><topic>60J25</topic><topic>60J65</topic><topic>60J75</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Isozaki, Yasuki</creatorcontrib><jtitle>Osaka journal of mathematics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Isozaki, Yasuki</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On some laws of iterated logarithm for Burgers turbulence with Brownian initial data based on the concave majorant</atitle><jtitle>Osaka journal of mathematics</jtitle><date>2006-06-01</date><risdate>2006</risdate><volume>43</volume><issue>no. 2</issue><spage>239</spage><epage>261</epage><pages>239-261</pages><abstract>We study the shock structure and the asymptotic behaviour
of some flux across the origin in one-dimensional Burgers
turbulence, the entropy solution to the inviscid Burgers equation,
with random initial velocity for the uniformly distributed
particles on the positive half line. We assume, in contrast
to other works on Burgers turbulence, initially a vacuum state
on the negative half line. We also obtain some asymptotic
estimates for the concave majorant of Brownian motion.</abstract><pub>Osaka University and Osaka City University, Departments of Mathematics</pub><tpages>23</tpages><oa>free_for_read</oa></addata></record> |
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| language | eng |
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| source | Project Euclid Open Access; Freely Accessible Japanese Titles; EZB-FREE-00999 freely available EZB journals; Project Euclid Complete |
| subjects | 60J25 60J65 60J75 |
| title | On some laws of iterated logarithm for Burgers turbulence with Brownian initial data based on the concave majorant |
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