Properties of steady Navier–Stokes solutions for certain unbounded channels and pipes

C. J. Amick

Type: Article

Publication Date: 1978-11-01

Citations: 66

DOI: https://doi.org/10.1016/0362-546x(78)90014-7

View Publication

Locations

Nonlinear Analysis - View

Similar Works

Action	Title	Year	Authors
+	Solvability in a finite pipe of steady-state Navier–Stokes equations with boundary conditions involving Bernoulli pressure	2020	Mikhail V. Korobkov Konstantin Pileckas Remigio Russo
+	Existence and Asymptotic Behavior of Large Axisymmetric Solutions for Steady Navier–Stokes System in a Pipe	2022	Yun Wang Chunjing Xie
+ PDF Chat	Steady solutions of the Navier-Stokes equations representing plane flow in channels of various types	1980	C. J. Amick L. E. Fraenkel
+ PDF Chat	Steady solutions of the Navier-Stokes equations representing plane flow in channels of various types	1980	C. J. Amick
+	Solutions of the Navier–Stokes equations with various types of boundary conditions	2012	Michal Beneš Petr Kučera
+	Steady-State Solutions to the Navier–Stokes Equation	2024	А. В. Баев
+	Chapter 3 Global Existence, Uniqueness and Exponential Stability of Solutions for the One-Dimensional Navier–Stokes Equations with Capillarity	2023
+	Chapter 3 Global Existence, Uniqueness and Exponential Stability of Solutions for the One-Dimensional Navier–Stokes Equations with Capillarity	2023	Yuming Qin Jianlin ZHANG
+	Analysis of Navier–Stokes Models for Flows in Bidisperse Porous Media	2023	Mirela Kohr Radu Precup
+	Basic properties of solution of the non-steady Navier–Stokes equations with mixed boundary conditions in a bounded domain	2009	Petr Kučera
+	Steady Navier-Stokes Flow in Domains with Unbounded Boundaries	1994	Giovanni P. Galdi
+ PDF Chat	Solutions of the Navier- Stokes equation in a bounded domain	2018	Guy Cirier
+	ANALYSIS OF THE NAVIER-STOKES EQUATIONS FOR SOME TWO-LAYER FLOWS IN UNBOUNDED DOMAINS	1998	Konstantin Pileckas J. Socolowsky
+	Some properties of solutions of the Navier-Stokes equations	1973	Ramsay Dyer
+	Laminar Flows in Channels and Pipes	2011	L. P. Yarin
+	Solutions to the Incompressible Navier–Stokes Equations	2021	V. Babu
+	Global existence, uniqueness and exponential stability of solutions for the one-dimensional Navier–Stokes equations with capillarity	2020	Yuming Qin Jian Lin Zhang Yang Wang Xing Su
+	Solvability of Navier-Stokes Equations with Leak Boundary Conditions	2009	Rong Rong An Yuan Li Kaitai
+	Steady-state Navier–Stokes flow in an obstructed pipe under mixed boundary conditions and with a prescribed transversal flux rate	2023	Gianmarco Sperone
+	Steady Navier–Stokes equations in a domain with piecewise smooth boundary	2007	Shigeharu Itoh Naoto Tanaka Atusi Tani

Works That Cite This (49)

Action	Title	Year	Authors
+ PDF Chat	Uniqueness and uniform structural stability of Poiseuille flows in an infinitely long pipe with Navier boundary conditions	2023	Yun Wang Chunjing Xie
+ PDF Chat	Constrained large solutions to Leray's problem in a distorted strip with the Navier-slip boundary condition	2023	Zijin Li Xinghong Pan Jiaqi Yang
+ PDF Chat	Steady solutions of the Navier-Stokes equations representing plane flow in channels of various types	1980	C. J. Amick L. E. Fraenkel
+	On the Dirichlet problem for infinite cylinders and equations with transversely varying coefficients	1978	C. J. Amick
+	Steady-state Navier–Stokes flow in an obstructed pipe under mixed boundary conditions and with a prescribed transversal flux rate	2023	Gianmarco Sperone
+	Weighted L q -Theory and Pointwise Estimates for Steady Stokes and Navier-Stokes Equations in Domains with Exit to Infinity	1995	Konstantin Pileckas
+	Saint Venant’s estimates in anisotropic magnetohydrodynamics	2001	Alessandra Borrelli Maria Cristina Patria
+ PDF Chat	On the existence and asymptotical behaviour of a steady flow of a viscous barotropic gas in a pipe	1997	M. Padula Konstantin Pileckas
+ PDF Chat	On the Stationary Navier–Stokes Equations in the Half-Plane	2016	Julien Guillod Peter Wittwer
+ PDF Chat	On Leray’s problem in an infinitely long pipe with the Navier-slip boundary condition	2024	Zijin Li Xinghong Pan Jiaqi Yang

Works Cited by This (10)

Action	Title	Year	Authors
+	The L P Approach to the Dirichlet Problem	2011	Shmuel Agmon
+	Partial Differential Equations	2022	Avner Friedman
+	On the Dirichlet problem for infinite cylinders and equations with transversely varying coefficients	1978	C. J. Amick
+	Decomposition Theorems for Solenoidal Vector Fields	1977	C. J. Amick
+	On a theory of laminar flow in channels of a certain class	1973	L. E. Fraenkel P. M. Eagles
+	Ordinary Differential Equations.	1952	William M. Whyburn Michael Golomb Merrill Shanks H. B. Phillips Jan E Powell C. P. Wells
+ PDF Chat	On the Regularity of the Solutions of Non-Linear Elliptic and Parabolic Systems of Partial Differential Equations	1958	Avner Friedman
+ PDF Chat	Stability of Poiseuille flow in pipes, annuli, and channels	1969	D. D. Joseph S. Carmi
+	Ordinary Differential Equations	1945	A. T. Lonseth E. L. Ince
+	Partial Differential Equations	2023	Merle C. Potter Brian F. Feeny