publication . Article . Preprint . 2013

three dimensional steady subsonic euler flows in bounded nozzles

Chao Chen; Chunjing Xie;
Open Access
  • Published: 09 May 2013 Journal: Journal of Differential Equations, volume 256, pages 3,684-3,708 (issn: 0022-0396, Copyright policy)
  • Publisher: Elsevier BV
Abstract
Abstract The existence and uniqueness of three dimensional steady subsonic Euler flows in rectangular nozzles were obtained when prescribing normal component of momentum at both the entrance and exit. If, in addition, the normal component of the voriticity and the variation of Bernoulli's function at the entrance are both zero, then there exists a unique subsonic potential flow when the magnitude of the normal component of the momentum is less than a critical number. As the magnitude of the normal component of the momentum approaches the critical number, the associated flows converge to a subsonic–sonic flow. Furthermore, when the normal component of vorticity a...
Subjects
arXiv: Physics::Fluid Dynamics
free text keywords: Analysis, Euler system, Nonlinear system, Euler's formula, symbols.namesake, symbols, Bernoulli's principle, Potential flow, Momentum, A priori estimate, Mathematical optimization, Vorticity, Mathematical analysis, Mathematics, Mathematics - Analysis of PDEs
Related Organizations
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