NOTE ON THE BLOWUP CRITERION OF SMOOTH SOLUTION TO THE INCOMPRESSIBLE VISCOELASTIC FLOW

作者：Yuan, Baoquan^*

来源：Discrete and Continuous Dynamical Systems, 2013, 33(5): 2211-2219.

DOI：10.3934/dcds.2013.33.2211

• Incompressible viscoelastic fluids
• Oldroyd model
• blowup criterion of smooth solution

We study the blowup criterion of smooth solution to the Oldroyd models. Let (u(t, x), F(t, x) be a smooth solution in [0, T), it is shown that the solution (u(t, x), F(t, x) does not appear breakdown until t = T provided del u(t, x) is an element of L-1([0, T];L-infinity(R-n)), n = 2, 3.

• 出版日期2013-5
• 单位河南理工大学