吉林大学学报(理学版)
吉林大學學報(理學版)
길림대학학보(이학판)
JOURNAL OF JILIN UNIVERSITY(SCIENCE EDITION)
2014年
5期
969-970
,共2页
李华鹏%朱秀丽%李鹏松%袁洪君
李華鵬%硃秀麗%李鵬鬆%袁洪君
리화붕%주수려%리붕송%원홍군
爆破准则%可压缩非牛顿流体%真空%强解
爆破準則%可壓縮非牛頓流體%真空%彊解
폭파준칙%가압축비우돈류체%진공%강해
blow-up criterion%compressible non-Newtonian fluids%vacuum%strong solutions
利用反证法研究一类真空可压缩非牛顿流体,给出了其强解的爆破准则。即当时间t趋于临界时间T*时,若速度的导数是有界的,则该局部强解关于时间可以延拓成整体解。特别地,允许初始密度含有真空的情形。
利用反證法研究一類真空可壓縮非牛頓流體,給齣瞭其彊解的爆破準則。即噹時間t趨于臨界時間T*時,若速度的導數是有界的,則該跼部彊解關于時間可以延拓成整體解。特彆地,允許初始密度含有真空的情形。
이용반증법연구일류진공가압축비우돈류체,급출료기강해적폭파준칙。즉당시간t추우림계시간T*시,약속도적도수시유계적,칙해국부강해관우시간가이연탁성정체해。특별지,윤허초시밀도함유진공적정형。
We obtained a blow-up criterion for strong solutions to a class of compressible non-Newtonian fluids j ust in terms of the derivative of the velocity using the proof of contradiction.In other words,if the derivative of the velocity remains bounded as time t approaches to the critical time, a local strong solution can be continued globally in time.In addition,the initial vacuum states are allowed in our cases.