NONEXISTENCE OF SELF-SIMILAR SINGULARITIES IN IDEAL VISCOELASTIC FLOWS

作者：Suen Anthony^*

来源：Electronic Journal of Differential Equations, 2012, 93.

• Viscoelastic flow
• self-similar singularities

We prove the nonexistence of finite time self-similar singularities in an ideal viscoelastic flow in R-3. We exclude the occurrence of Leray-type self-similar singularities under suitable integrability conditions on velocity and deformation tensor. We also prove the nonexistence of asymptotically self-similar singularities in our system. The present work extends the results obtained by Chae in the case of magnetohydrodynamics (MHD).

• 出版日期2012-6-7