Navier-Stokes Equations
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PHYSICS
Fluid Dynamics
Navier-Stokes Equations
Equations that govern everything from ocean currents to airplane flight remain unsolved in full
5 days ago
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Why are the Navier-Stokes equations considered difficult to solve in three dimensions?
Because they only apply to ideal, non-viscous fluids which are rare in nature
Because they are nonlinear and coupled partial differential equations leading to complex fluid behaviors like turbulence
Because they ignore the effects of pressure and external forces on fluid motion
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PHYSICS
Fluid Mechanics
Navier-Stokes Equations
Navier-Stokes equations unlock the complex dance of viscous fluids in motion
24 Jan 2026
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Why are the Navier-Stokes equations considered challenging to solve in three-dimensional turbulent flows?
Because the equations do not account for viscosity in three dimensions.
Because the equations are only valid for incompressible fluids and fail for gases.
Because turbulence introduces complex, chaotic behavior that makes finding smooth and stable solutions difficult.
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