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