3 ms·
Can someone explain what the author meant with the following passage? "... Navier-Stokes equations, which govern the flow of fluids, including air currents. In
by new2628 7y ago
Can someone explain what the author meant with the following passage?
"... 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."
- kkylin 7y agoOne 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-for-an-averaged-three-dimensional-navier-stokes-equation/ https://terrytao.wordpress.com/2014/02/04/finite-time-blowup...
- jshevek 7y agoI 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.
- deleted 7y ago[deleted]