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Did I just solve the Navier-Stokes Millennium Problem?
I think I may have just solved a Millennium Problem. I found an exact 3D solution to Navier-Stokes equations that has a finite time singularity. The velocity, pressure, and force are all spatially ...
0
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86 views
Complex parametrization of Airplane wing?
I read once about complex parametrization with fluid-dynamics objects such as airplane wings, something related Rieman Zeta function. What are the mathematical models this kind of things such as ...
1
vote
1answer
124 views
Continuity equation on manifolds
Mass conservation is usually written as
$$\frac{\partial \rho}{\partial t} + \operatorname{div}(\rho \boldsymbol v) = 0$$
$\rho$ is the density and $\boldsymbol v$ is the fluid velocity. My attempt ...
0
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1answer
179 views
How to integrate twice of this viscous term?
I am reading a paper, and I do not understand why the author said the following term when integrated twice will become,
$\int\limits_\Omega {{\rm{d}}\Omega {{\bf{\psi }}^{\bf{u}}}\cdot\nabla ...
