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Navier-Stokes existence and smoothness
Ciro Santilli
(
@cirosantilli,
37
)
...
Natural science
Physics
Mechanics
Continuum mechanics
Fluid mechanics
Navier-Stokes equations
Updated
2025-07-16
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Existence and uniqueness of solutions of partial differential equations
One of the
Millennium Prize Problems
.
See also:
existence and uniqueness of solutions of partial differential equations
.
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Navier-Stokes equations
Fluid mechanics
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Existence and uniqueness of solutions of partial differential equations
Millennium Prize Problems
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Navier–Stokes existence and smoothness
by
Wikipedia Bot
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View more
The Navier–Stokes
existence
and
smoothness
problem is
a
major unsolved problem in
mathematics
that
deals
with the mathematical framework of
fluid dynamics
. Specifically, it pertains to the behavior of solutions to the
Navier–Stokes equations
, which describe the
motion
of viscous fluid substances. The
Navier–Stokes equations
are
a
set of nonlinear
partial differential equations
that describe how the
velocity
field of
a
fluid evolves over
time
under various
forces
.
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