89 citations · 315 across the 26 of their papers we have counts for
Showing 2009 · math.APShow all
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math.AP2009★ 4 cited
Axisymmetric Euler- Equations without Swirl: Existence, Uniqueness, and Radon Measure Valued Solutions
Quansen Jiu, Dongjuan Niu, Edriss S. Titi +1
The global existence of weak solutions for the three-dimensional axisymmetric Euler- (also known as Lagrangian-averaged Euler-) equations, without swirl, is established, when…
math.AP2009★ 2 cited
Loss of smoothness and energy conserving rough weak solutions for the 3d Euler equations
Claude Bardos, Edriss S. Titi
A basic example of shear flow was introduced by DiPerna and Majda to study the weak limit of oscillatory solutions of the Euler equations of incompressible ideal fluids. In particu…
math.AP2009★ 5 cited
Global regularity and convergence of a Birkhoff-Rott-alpha approximation of the dynamics of vortex sheets of the 2D Euler equations
Claude Bardos, Jasmine S. Linshiz, Edriss S. Titi
We present an alpha-regularization of the Birkhoff-Rott equation, induced by the two-dimensional Euler-alpha equations, for the vortex sheet dynamics. We show the convergence of th…