About Lifespan of Regular Solutions of Equations Related to Viscoelastic Fluids
About Lifespan of Regular Solutions of Equations Related to Viscoelastic Fluids
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DOI：
10.1137/s0036141099359317
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发表时间：
2001
期刊：
影响因子：
--
通讯作者：
J. Chemin;N. Masmoudi
中科院分区：
文献类型：
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作者：
J. Chemin;N. Masmoudi
我们证明了关于Oldroyd型不可压缩粘弹性流体的方程组的局部和整体解的存在性和唯一性。我们还显示了一个新的先验估计的二维Navier-Stokes系统和输运方程的损失估计，使我们能够给一个充分条件的非击穿。
We prove existence and uniqueness of local and global solutions for a system of equations concerning an incompressible viscoelastic fluid of the Oldroyd type. We also show a new a priori estimate for the two-dimensional Navier-Stokes system and a losing estimate for the transport equations that allow us to give a sufficient condition of non-breakdown.