应用数学
應用數學
응용수학
MATHEMATICA APPLICATA
2005年
2期
204-208
,共5页
长时间性态%弱解%非牛顿流体
長時間性態%弱解%非牛頓流體
장시간성태%약해%비우돈류체
Large time behavior,Weak solutions%Non-Newtonian fluids
本文讨论一类非牛顿系统弱解的长时间性态,证明解在L2范数下的衰减速率为(1+t)-n/4达到和线性热方程一致.
本文討論一類非牛頓繫統弱解的長時間性態,證明解在L2範數下的衰減速率為(1+t)-n/4達到和線性熱方程一緻.
본문토론일류비우돈계통약해적장시간성태,증명해재L2범수하적쇠감속솔위(1+t)-n/4체도화선성열방정일치.
In this paper,the large time behavior to the system of the incompressible non-Newtonian fluids is investigated and it is proved that the weak solutions decay in L2 norm at a rate (1 + t)-n/4which is the same as the solutions of the heat equations.