Electron. J. Diff. Equ.,
Vol. 2010(2010), No. 93, pp. 114.
Solutions to threedimensional NavierStokes equations
for incompressible fluids
Jorma Jormakka
Abstract:
This article gives explicit solutions to the spaceperiodic
NavierStokes problem with nonperiodic pressure.
These type of solutions are not unique and by using such solutions
one can construct a periodic, smooth, divergencefree initial
vector field allowing a spaceperiodic and timebounded external
force such that there exists a smooth solution to the
3dimensional NavierStokes equations for incompressible fluid
with those initial conditions, but the solution cannot be continued
to the whole space.
Submitted August 31, 2009. Published July 7, 2010.
Math Subject Classifications: 35Q30.
Key Words: Partial differential equations; NavierStokes equation;
fluid dynamics.
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Jorma Jormakka
National Defence University
P.O. Box 07 00861 Helsinki, Finland
email: jorma.jormakka@mil.fi

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