GLOBAL EXISTENCE AND UNIQUENESS OF WEAK SOLUTIONS OF THREE-DIMENSIONAL EULER EQUATIONS WITH HELICAL SYMMETRY IN THE ABSENCE OF VORTICITY STRETCHING uri icon

abstract

  • We prove uniqueness and existence of the weak solutions of Euler equations with helical symmetry, with initial vorticity in L under "no vortic ity stretching" geometric constraint. Our article follows the argument of the seminal work of Yudovich. We adjust the argument to resolve the difficulties which are specific to the helical symmetry. 2009 Society for Industrial and Applied Mathematics.

published proceedings

  • SIAM JOURNAL ON MATHEMATICAL ANALYSIS

author list (cited authors)

  • Ettinger, B., & Titi, E. S.

citation count

  • 23

complete list of authors

  • Ettinger, Boris||Titi, Edriss S

publication date

  • January 2009