信阳师范学院学报(自然科学版)
信暘師範學院學報(自然科學版)
신양사범학원학보(자연과학판)
JOURNAL OF XINYANG NORMAL UNIVERSITY(NATURAL SCIENCE EDITION)
2015年
1期
33-35
,共3页
朱旭生%艾利娜%汤传扬
硃旭生%艾利娜%湯傳颺
주욱생%애리나%탕전양
三维等熵欧拉方程组%泛函%爆破
三維等熵歐拉方程組%汎函%爆破
삼유등적구랍방정조%범함%폭파
isentropic Euler equations in three dimensions%functions%blow up
研究了带阻尼项的三维等熵欧拉方程组初值问题经典解的爆破。在M(0)<0条件下,若初始动量的某些泛函足够大时,得到了其经典解在有限时间内必定发生爆破的结论。
研究瞭帶阻尼項的三維等熵歐拉方程組初值問題經典解的爆破。在M(0)<0條件下,若初始動量的某些汎函足夠大時,得到瞭其經典解在有限時間內必定髮生爆破的結論。
연구료대조니항적삼유등적구랍방정조초치문제경전해적폭파。재M(0)<0조건하,약초시동량적모사범함족구대시,득도료기경전해재유한시간내필정발생폭파적결론。
The blow up of the initial value problems of classical solutions of the isentropic Euler equations with damping term in three dimensions was investigated .Under the condition of M(0) <0 , if the initial momentum of cer-tain functions is large enough , then it follows that the classical solution must blow up in a limited time .