One of Terry Tao's recent results shows that an equation that he calls the "averaged Navier-Stokes equation" can have solutions that "blow up" in finite time, starting from a perfectly nice initial condition [0]. Presumably the writer is referring to this, as such solutions would not be very nice to have if they are actually physically realizable, for example by an airfoil.
[0] https://terrytao.wordpress.com/2014/02/04/finite-time-blowup...
I believe the author might be trying to say, for example, "let's hope water won't blow up." To make this implication, I believe the author meant to refer to "Tao's most fanciful work" rather than the equations themselves.
"... Navier-Stokes equations, which govern the flow of fluids, including air currents. In this case, let us hope that it does not have a real-world application."