Geodesic
Nonexistence of self-similar singularities in ideal viscoelastic flows
Electronic journal of differential equations, Tome 2012 (2012)
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).
Classification : 35A20
Keywords: viscoelastic flow, self-similar singularities 
@article{EJDE_2012__2012__a70,
     author = {Suen,  Anthony},
     title = {Nonexistence of self-similar singularities in ideal viscoelastic flows},
     journal = {Electronic journal of differential equations},
     year = {2012},
     volume = {2012},
     zbl = {1255.35013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a70/}
}
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%0 Journal Article
%A Suen,  Anthony
%T Nonexistence of self-similar singularities in ideal viscoelastic flows
%J Electronic journal of differential equations
%D 2012
%V 2012
%U http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a70/
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%F EJDE_2012__2012__a70
Suen,  Anthony. Nonexistence of self-similar singularities in ideal viscoelastic flows. Electronic journal of differential equations, Tome 2012 (2012). http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a70/