Global wellposedness to the generalized Oldroyd type models in R3
Global wellposedness to the generalized Oldroyd type models in R3
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DOI：
10.1016/j.jde.2015.03.026
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发表时间：
2015-09
影响因子：
2.4
通讯作者：
T. Elgindi;Jianli Liu
中科院分区：
文献类型：
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作者：
T. Elgindi;Jianli Liu
它仍然是未知的光滑的解决方案的3D Oldroyd模型是否存在全局的粘弹性流体。利用转移耗散技巧，在初值充分小的假设下，得到了三维广义Oldroyd模型的整体强解.它改进了Elgndi和Elgnset（2015）[4]在二维中获得的结果。
It remains unknown whether smooth solutions of the 3D Oldroyd models exist globally in viscoelastic fluids. Using the trick of transferring dissipation, we get the global strong solutions of the generalized Oldroyd models in three dimensions, under the assumption that initial data is sufficiently small. It improves the result in two dimensions obtained by Elgndi and Rousset (2015) [4].