Precise regularity results for the Euler equations. (Q1399384)

Using the methods of paradifferential calculus and regularity estimates in Besov (or Triebel-Lizorkin) spaces, the author proves the following condition for blow-up: if the maximal time \(T\) of existence of solution in smooth bounded domains is finite, then the \(L_\infty\) norm of velocity curl necessarily blows up on the time interval \([0;T]\).