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Navier Stokes equations
global existence and uniqueness
Contributed by: Ya. Sinai (Princeton Univ.),
October 5, 1998.
Abstract
Prove, or disprove, the global existence and uniqueness of
solutions for
3D Navier Stokes systems.
In the simplest case the system of equations has the form:
The unknown functions are u_{i}(x,t)
(i=1,2,3)
and p(x,t), and it is natural to consider the case of
periodic boundary conditions.
Question: Assume that the initial conditions,
u_{i}(x,0), are "smooth". Is it
true that there exists a unique smooth solution for all
t > 0 ?
