# Would a fluid with zero viscosity reach an equilibrium

My hunch is yes, but I can't think how to prove it. An argument against this is you have a box with a divider in the middle, one side is filled up higher than the other. The divider is removed, you will get waves in the fluid, when the viscosity is lower the waves will continue for longer, so when the viscosity is zero nothing will stop the waves so they will never stop, ignoring friction with the sides of the box. Is this right?

• No viscosity $\Rightarrow$ energy conservation. So it wouldn't reach equilibrium. Check the "Euler equations" at wikipedia. – nabla Dec 10 '15 at 0:18
• If there was irregularity in the container, wouldn't turbulence be generated? And wouldn't that turbulence (due to entropy) become more and more subdivided and distributed over time, right? What would the end point be? – Daniel Griscom Dec 10 '15 at 1:27