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math.AP2009★ 2 cited
Existence of Global Steady Subsonic Euler Flows through Infinitely Long Nozzles
Chunjing Xie, Zhouping Xin
In this paper, we study the global existence of steady subsonic Euler flows through infinitely long nozzles without the assumption of irrotationality. It is shown that when the var…
math.AP2009★ 3 cited
Global Subsonic and Subsonic-Sonic Flows through Infinitely Long Axially Symmetric Nozzles
Chunjing Xie, Zhouping Xin
In this paper, we establish existence of global subsonic and subsonic-sonic flows through infinitely long axially symmetric nozzles by combining variational method, various ellipti…
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…