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equations:navier_stokes [2018/01/22 16:49] jakobadmin [FAQ] |
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====== The Navier-Stokes Equations ====== | ====== The Navier-Stokes Equations ====== | ||
- | <tabbox Why is it interesting?> | ||
- | The Navier-Stokes equations describe one of the most ubiquitous features of our world: the flow of fluids. They are used to study ocean currents, the turbulence in the wave of an airplane or the flow of blood. | ||
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- | In addition, they are mathematically extremely interesting and there is a [[http://www.claymath.org/millennium-problems|Millennium Prize Problem]] with $1 million reward for the first person who can prove rigorously that solutions exist and answer the question if they are unique. | ||
- | <tabbox Layman> | + | <tabbox Intuitive> |
* [[https://www.quantamagazine.org/what-makes-the-hardest-equations-in-physics-so-difficult-20180116/|What Makes the Hardest Equations in Physics So Difficult?]] (Quanta Magazine) | * [[https://www.quantamagazine.org/what-makes-the-hardest-equations-in-physics-so-difficult-20180116/|What Makes the Hardest Equations in Physics So Difficult?]] (Quanta Magazine) | ||
* [[https://www.quantamagazine.org/mathematicians-find-wrinkle-in-famed-fluid-equations-20171221/|Mathematicians Find Wrinkle in Famed Fluid Equations]] (Quanta Magazine) | * [[https://www.quantamagazine.org/mathematicians-find-wrinkle-in-famed-fluid-equations-20171221/|Mathematicians Find Wrinkle in Famed Fluid Equations]] (Quanta Magazine) | ||
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- | <tabbox Student> | + | <tabbox Concrete> |
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- | <tabbox Researcher> | + | <tabbox Abstract> |
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</note> | </note> | ||
- | + | <tabbox Why is it interesting?> | |
- | <tabbox Examples> | + | |
- | --> Example1# | + | The Navier-Stokes equations describe one of the most ubiquitous features of our world: the flow of fluids. They are used to study ocean currents, the turbulence in the wave of an airplane or the flow of blood. |
- | + | In addition, they are mathematically extremely interesting and there is a [[http://www.claymath.org/millennium-problems|Millennium Prize Problem]] with $1 million reward for the first person who can prove rigorously that solutions exist and answer the question if they are unique. | |
- | <-- | + | |
- | --> Example2:# | + | <tabbox FAQ> |
- | + | -->What makes the Navier-Stokes equations so difficult?# | |
+ | |||
+ | See the discussion [[https://www.physicsforums.com/threads/what-makes-the-navier-stokes-equation-so-difficult.937175/|here]]. | ||
<-- | <-- | ||
- | <tabbox FAQ> | + | -->Why are Navier-Stokes equations needed?# |
- | --> What makes the Navier-Stokes equations so difficult?# | + | |
- | See the discussion [[https://www.physicsforums.com/threads/what-makes-the-navier-stokes-equation-so-difficult.937175/|here]]. | + | https://physics.stackexchange.com/questions/45839/why-are-navier-stokes-equations-needed |
+ | <-- | ||
- | <-- | ||
- | <tabbox History> | ||
</tabbox> | </tabbox> | ||