Variational and Topological Methods: Theory, Applications,
Numerical Simulations, and Open Problems.
Electron. J. Diff. Eqns., Conference 21 (2014), pp. 223234.
Extinction of weak solutions of doubly nonlinear NavierStokes equations
Jochen Merker
Abstract:
In this article we discus the doubly nonlinear incompressible
NavierStokes equations
are discussed, where u models the velocity vector field
of a homogeneous incompressible nonNewtonian fluid
whose momentum
depends nonlinearly on u.
Particularly, under certain regularity assumptions it is shown
that u becomes extinct in finite time
for sufficiently small initial values u(0), if
and
with
I.
Published February 10, 2014.
Math Subject Classifications: 58F15, 58F17, 53C35.
Key Words: NavierStokes equations; doubly nonlinear evolution equations;
extinction.
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Jochen Merker
Universitäat Rostock  Institut für Mathematik
Ulmenstr. 69 (Haus 3)
18057 Rostock, Germany
email: jochen.merker@unirostock.de

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