Department of Mathematics
Indiana University
Bloomington, IN 47405, USA
email: cksuen@indiana.edu
Anthony Suen
Abstract:
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).
Submitted November 16, 2011. Published June 7, 2012.
Math Subject Classifications: 35A20.
Key Words: Viscoelastic flow; self-similar singularities.
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Anthony Suen Department of Mathematics Indiana University Bloomington, IN 47405, USA email: cksuen@indiana.edu |
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