A counterexample to the smoothness of the solution to an equation arising in fluid mechanics

Abstract

We analyze the equation coming from the Eulerian-Lagrangian description of fluids. We discuss a couple of ways to extend this notion to viscous fluids.

We show that the description due to Constantin can only work for short times.

Keywords

• counterexample
• smoothness
• solution
• equation
• arising
• fluid
• mechanics