On Depletion of the Vortex-Stretching Term in the 3D Navier-Stokes Equations

A. A. Ruzmaikina, Zoran Grujić

Type: Article

Publication Date: 2004-04-30

Citations: 27

DOI: https://doi.org/10.1007/s00220-004-1072-0

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Communications in Mathematical Physics - View

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+ PDF Chat	An Antisymmetric Solution of the 3D Incompressible Navier–Stokes Equations with “Tornado-Like” Behavior	2020	C. Boldrighini S. Frigio Pierluigi Maponi A. Pellegrinotti Ya. G. Sinaĭ
+ PDF Chat	On the vorticity direction and the regularity of 3D Navier–Stokes equations	2023	Luigi C. Berselli
+	Localization of Analytic Regularity Criteria on the Vorticity and Balance Between the Vorticity Magnitude and Coherence of the Vorticity Direction in the 3D NSE	2010	Zoran Grujić Rafaela Guberović
+	Direction of Vorticity and Smoothness of Viscous Fluid Flows Subjected to Boundary Constraints	2014	H. Beirão da Veiga
+	Open problems concerning the Holder continuity of the direction of vorticity for the Navier-Stokes equations	2016	H. Beirão da Veiga
+	An extension and simpler proof of Berselli–Córdoba’s geometric regularity condition for the Navier–Stokes system	2018	Zujin Zhang Weihua Wang Xian Yang
+ PDF Chat	On the Regularity Conditions for the Navier-Stokes and Related Equations	2007	Dongho Chae
+ PDF Chat	Euler and Navier-Stokes equations	2008	Peter Constantin
+	Real and complex Li-Sinai solutions of the 3D incompressible Navier-Stokes equations	2023	C. Boldrighini Sandro Frigio Pierluigi Maponi A. Pellegrinotti Yakov G. Sinai
+	A family of regularity classes for the 3D NSE approximating a critical class	2010	Zoran Grujić

Works Cited by This (12)

Action	Title	Year	Authors
+ PDF Chat	On the regularizing effect of the vorticity direction in incompressible viscous flows	2002	H. Beirão da Veiga Luigi C. Berselli
+	The geometric structure of the super-level sets and regularity for 3D Navier-Stokes equations	2001	Zoran Grujić
+ PDF Chat	Navier-Stokes equations and area of interfaces	1990	Peter Constantin
+	Un teorema di unicità per le equazioni di Navier-Stokes	1959	G. A. Prodi
+ PDF Chat	Remarks on the breakdown of smooth solutions for the 3-D Euler equations	1984	J. Thomas Beale T. Kato Andrew J. Majda
+	Bilinear estimates in BMO and the Navier-Stokes equations	2000	Hideo Kozono Yasushi Taniuchi
+	New a priori estimates for navier-stokes equations in dimension 3	1981	Ciprian Foiaş Colette Guillopé Roger Témam
+	Geometric Statistics in Turbulence	1994	Peter Constantin
+	Interpolation between algebraic and geometric conditions for smoothness of the vorticity in the 3D NSE	2004	Zoran Grujić A. A. Ruzmaikina
+	Removable singularities of weak solutions to the navier-stokes equations	1998	Hideo Kozono