Global axisymmetric euler flows
WebJan 15, 2011 · Abstract. In this paper, we consider global subsonic compressible flows through an infinitely long axisymmetric nozzle. The flow is governed by the steady … WebSep 2, 2024 · Global Axisymmetric Euler Flows with Rotation. We construct a class of global, dynamical solutions to the 3d Euler equations near the stationary state given by uniform "rigid body" rotation. These solutions are axisymmetric, of Sobolev regularity, have non-vanishing swirl and scatter linearly, thanks to the dispersive effect induced by the ...
Global axisymmetric euler flows
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WebModels of vorticity growth in Euler Flows I. Axisymmetric flow without swirl Stephen Childress July 25, 2007 Abstract The question of vortex growth in Euler flows leads naturally to the emergence of paired vortex structure and the “geometric” stretching of vortex lines. In the present paper, the first of two papers devoted to this WebJan 1, 2024 · As for the global-in-time problem in dimension d=3, Elgindi [15] has recently proved a remarkable result on singularity formation of the 3D axisymmetric Euler equations without swirl for C 1,α ...
Web[AHK] H. Abidi, T. Hmidi, and S. Keraani, "On the global well-posedness for the axisymmetric Euler ... "On the finite-time blowup of a one-dimensional model for the three-dimensional axisymmetric Euler equations ... [JianHouYu] J. Deng, T. Y. Hou, and X. Yu, "Geometric properties and nonblowup of 3D incompressible Euler flow," Comm ... WebSep 2, 2024 · We construct a class of global, dynamical solutions to the 3d Euler equations near the stationary state given by uniform "rigid body" rotation. These solutions are …
WebSep 28, 2024 · In this paper, we study nonlinear desingularization of steady vortex rings of three-dimensional incompressible Euler flows. We construct a family of steady vortex rings (with and without swirl) which constitutes a desingularization of the classical circular vortex filament in $\\mathbb{R}^3$. The construction is based on a study of solutions to the … WebThis work establishes that in the presence of uniform rotation, suitably small, localized and axisymmetric initial data lead to global strong solutions to the rotating 3d Euler equations.
WebJul 1, 2024 · Hou and Yin [21], [22] established the global existence of classical solutions to the 2D axisymmetric Euler system for nonisentropic Chaplygin gases with swirl. It is well known that the classical solutions to the Cauchy problem for the compressible Euler system may blow up in finite time, no matter how smooth and small the initial data are ...
Web[39] Global axisymmetric Euler flows with rotation (with Y. Guo and K. Widmayer), Invent. Math, to appear, arXiv. Preprints: [40] Nonlinear Landau damping for the Vlasov-Poisson system in R^3: the Poisson equilibrium, (with A. Ionescu, X. Wang and K. Widmayer) preprint (2024), arXiv. top toothpaste 2018WebThe resulting flow is an axially symmetric flow, where the resulting velocity components are obtained by adding the velocities of a point sink and a uniform flow. The stream function … top toothpaste brands in usaWebSep 2, 2024 · Global regularity of axisymmetric incompressible Euler flows with non-trivial swirl in 3d is an outstanding open question. This work establishes that in the presence of … top tooth pediatric and teen dentistryWebFeb 10, 2024 · We show its stability with respect to small, axisymmetric perturbations. The resulting global, dynamical solutions have non-vanishing swirl and Sobolev regularity, … top toothbrushWebJul 25, 2024 · Introduction. For axisymmetric incompressible flows without swirl, the (originally three-dimensional) Navier–Stokes and Euler equations can be reduced to two-dimensional mathematical models which are obtained by assuming a cylindrical symmetry for both the physical space variables and the velocity components. top toothpaste manufacturersWebApr 13, 2016 · This paper is a sequel to the earlier work Du and Duan (J Diff Equ 250:813–847, 2011) on well-posedness of steady subsonic Euler flows through infinitely long three-dimensional axisymmetric nozzles.In Du and Duan (J Diff Equ 250:813–847, 2011), the authors showed the existence and uniqueness of the global subsonic Euler … top toothpaste for white teethWebFeb 12, 2016 · [17] Lei Z and Hou T Y 2009 On the stabilizing effect of convection in three-dimensional incompressible flows Commun. Pure Appl. Math. 62 501–64. Crossref; Google Scholar [18] Luo G and Hou T Y 2014 Potentially singular solutions of the 3D axisymmetric Euler equations Proc. Natl Acad. Sci. 111 12968–73. Crossref; Google Scholar top toothpaste for dogs