A simple one‐dimensional model for the three‐dimensional vorticity equation

Peter Constantin, Peter D. Lax, Andrew J. Majda

Type: Article

Publication Date: 1985-11-01

Citations: 291

DOI: https://doi.org/10.1002/cpa.3160380605

View Publication

Locations

Communications on Pure and Applied Mathematics - View

Similar Works

Action	Title	Year	Authors
+	On a one-dimensional model for the three-dimensional vorticity equation	1990	S. De Gregorio
+	A simplification of the vorticity equation and an extension of the vorticity persistence theorem to three dimensions	2006	T. S. Morton
+	Mathematical analysis of a structure-preserving approximation of the bidimensional vorticity equation	2002	Isabelle Gallagher
+	The 3D Euler equations with inflow, outflow and vorticity boundary conditions	2024	Gung‐Min Gie James P. Kelliher Anna L. Mazzucato
+	ANALYTICAL SOLUTIONS TO THE THREE-DIMENSIONAL INCOMPRESSIBLE FLOWS THROUGH THE VORTICITY EQUATIONS	2014	Gunawan Nugroho Ahmed Moge Ali Zainal Ambri Abdul Karim Wahyu D. H. Wijayanti Bandar Seri
+	Numerical solution of three-dimensional vorticity transport equations	1987	Yang-Moon Koh
+	A conservative node-centred formulation for the second order vorticity-velocity equations	1995	Pietro Giannattasio M. Napolitano
+	A New Formulation of the Three-dimensional Velocity-Vorticity System in Viscous Incompressible Flow	1999	Vitoriano Ruas
+	A New Formulation of the Three-dimensional Velocity-Vorticity System in Viscous Incompressible Flow	1999	V. Ruas
+ PDF Chat	Balance of the Vorticity Direction and the Vorticity Magnitude in 3D Fractional Navier–Stokes Equations	2020	Jiayi Wang
+	Vorticity Quantity Conservation Law in a Viscous Incompressible Fluid	2020	Preobrazhenskiy Andrey
+	Vorticity-velocity formulation for three-dimensional steady compressible flows	1992	A. Ern M.D. Smooke
+ PDF Chat	A minimal model for vorticity and gradient banding in complex fluids	2001	J. L. Goveas Peter D. Olmsted
+ PDF Chat	On 3D Lagrangian Navier–Stokes α Model with a Class of Vorticity-Slip Boundary Conditions	2012	Yuelong Xiao Zhouping Xin
+	Accurate simulation of vortical flows	2008	Kozo Fujii
+	Vorticity‐Stream Function Formulation of Navier–Stokes Equation	2020	Iman Farahbakhsh
+	Vorticial Model for Multiphase Flow	2007	Leonardo Traversoni
+	A Partial Differential Equation Arising in a 1D Model for the 3D Vorticity Equation	1996	S. De Gregorio
+	The Vortegy Concept in the Viscous Incompressible Fluid	2021	Preobrazhenskiy Andrey
+	Regularity and Convergence Results of the Velocity-Vorticity-Voigt Model of the 3D Boussinesq Equations	2021	Yuan Pei

Works That Cite This (263)

Action	Title	Year	Authors
+	三次元渦度方程式の一次元モデルDe Gregorio方程式の数値的研究(理論,科学技術計算と数値解析, 平成18年研究部会連合発表会)	2006	佐藤英樹坂上貴之
+	Global existence for some transport equations with nonlocal velocity	2014	Hantaek Bae Rafael Granero-Belinchón
+ PDF Chat	Geodesic completeness of the $$H^{3/2}$$ metric on $$\mathrm {Diff}(S^{1})$$	2020	Martin Bauer Boris Kolev Stephen C. Preston
+ PDF Chat	From the Peierls–Nabarro model to the equation of motion of the dislocation continuum	2020	Stefania Patrizi Tharathep Sangsawang
+ PDF Chat	Fractional Sobolev metrics on spaces of immersed curves	2018	Martin Bauer Martins Bruveris Boris Kolev
+ PDF Chat	Special Issue Editorial: Small Scales and Singularity Formation in Fluid Dynamics	2018	Alexander Kiselev
+ PDF Chat	On the dynamics of the roots of polynomials under differentiation	2022	Thomas Alazard Omar Lazar Quoc Hung Nguyen
+ PDF Chat	Asymptotically self-similar blowup of the Hou-Luo model for the 3D Euler equations	2022	Jiajie Chen Thomas Y. Hou De Huang
+	Incompressible Euler Equations: the blow-up problem and related results	2007	Dongho Chae
+ PDF Chat	On the evolution of nearly circular vortex patches	1988	Peter Constantin Edriss S. Titi

Works Cited by This (4)

Action	Title	Year	Authors
+	Singular Integral Equations	1977	N. I. Muskhelishvili
+ PDF Chat	Remarks on the breakdown of smooth solutions for the 3-D Euler equations	1984	J. Thomas Beale T. Kato Andrew J. Majda
+ PDF Chat	Note on loss of regularity for solutions of the 3?D incompressible euler and related equations	1986	Peter Constantin
+	Singular integral equations	1954	Howard H. Brown