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On the Lagrangian description of steady surface gravity waves
, 2007
"... This paper concerns the mathematical formulation of twodimensional steady surface gravity waves in a Lagrangian description of motion. It is demonstrated first that classical secondorder Lagrangian Stokeslike approximations do not exactly represent a steady wave motion in the presence of net mass ..."
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This paper concerns the mathematical formulation of twodimensional steady surface gravity waves in a Lagrangian description of motion. It is demonstrated first that classical secondorder Lagrangian Stokeslike approximations do not exactly represent a steady wave motion in the presence of net
ON THE STABILITY OF STEADY SURFACETENSION DRIVEN FLOWS
"... Abstract. In this paper, we study the stability of similarity solutions for the problem f ′′ ′ + Q(Aff ′ ′ − (f ′ ) 2) = β, with Q> 0, A ≥ 1 and β ∈ R. The given problem was derived from the symmetric reduction of similarity transformations from the NavierStokes equation for the planar flows. ..."
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. By imposing additional eigenvalue problems, our numerical studies show that the resultant steady flows are unstable as Q becomes large for various A < 2. Furthermore, our analytical result gives that the steady flows are stable for small Q, when 1 ≤ A < 2, or for any Q> 0 when A ≥ 2. Moreover
A consistent model for the largescale steady surface atmospheric circulation in the tropics
 J. Climate
, 1999
"... The authors present a new model of the tropical surface circulation, forced by changes in sensible heat and evaporative flux anomalies that are associated with prescribed sea surface temperature anomalies. The model is similar to the Lindzen and Nigam (LN) boundary layer model, also driven by the ab ..."
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Cited by 9 (0 self)
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The authors present a new model of the tropical surface circulation, forced by changes in sensible heat and evaporative flux anomalies that are associated with prescribed sea surface temperature anomalies. The model is similar to the Lindzen and Nigam (LN) boundary layer model, also driven
A NUMERICAL STUDY OF THE WHITHAM EQUATION AS A MODEL FOR STEADY SURFACE WATER WAVES
"... Abstract. The object of this article is the comparison of numerical solutions of the socalled Whitham equation describing wave motion at the surface of a perfect fluid to numericalapproximationsofsolutionsofthefull Eulerfreesurfacewaterwaveproblem. The Whitham equation ηt + 3 c0 ηηx +Kh0∗ηx = 0 2 ..."
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Abstract. The object of this article is the comparison of numerical solutions of the socalled Whitham equation describing wave motion at the surface of a perfect fluid to numericalapproximationsofsolutionsofthefull Eulerfreesurfacewaterwaveproblem. The Whitham equation ηt + 3 c0 ηηx +Kh0∗ηx = 0
Level set methods: An overview and some recent results
 J. Comput. Phys
, 2001
"... The level set method was devised by Osher and Sethian in [64] as a simple and versatile method for computing and analyzing the motion of an interface Γ in two or three dimensions. Γ bounds a (possibly multiply connected) region Ω. The goal is to compute and analyze the subsequent motion of Γ under a ..."
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Cited by 226 (11 self)
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, negative outside Ω andiszeroonΓ(t). Topological merging and breaking are well defined and easily performed. In this review article we discuss recent variants and extensions, including the motion of curves in three dimensions, the Dynamic Surface Extension method, fast methods for steady state problems
Stability of steady frictional slipping
 J. Appl. Mech
, 1983
"... The shear resistance of slipping surfaces at fixed normal stress is given by r = r ( v,state). Here V = slip velocity, dependence on «state " is equivalent to functional dependence with fading memory on prior V(t), and ar ( v,state) /iJV>O. We establish linear stability conditions for steadY ..."
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Cited by 77 (8 self)
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The shear resistance of slipping surfaces at fixed normal stress is given by r = r ( v,state). Here V = slip velocity, dependence on «state " is equivalent to functional dependence with fading memory on prior V(t), and ar ( v,state) /iJV>O. We establish linear stability conditions for stead
Steady freesurface flow . . .
, 2006
"... New freesurface flows past a semiinfinite ‘step’ in the bottom of a channel are considered. Surface tension is neglected but gravity is included in the dynamic boundary condition. Fully nonlinear solutions are computed by boundary integral equation methods. Additional weakly nonlinear solutions ar ..."
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New freesurface flows past a semiinfinite ‘step’ in the bottom of a channel are considered. Surface tension is neglected but gravity is included in the dynamic boundary condition. Fully nonlinear solutions are computed by boundary integral equation methods. Additional weakly nonlinear solutions
Distinguished material surfaces and coherent structures in threedimensional fluid flows
 Phys. D
"... We prove analytic criteria for the existence of finitetime attracting and repelling material surfaces and lines in threedimensional unsteady flows. The longest lived such structures define coherent structures in a Lagrangian sense. Our existence criteria involve the invariants of the velocity gradi ..."
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Cited by 150 (13 self)
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We prove analytic criteria for the existence of finitetime attracting and repelling material surfaces and lines in threedimensional unsteady flows. The longest lived such structures define coherent structures in a Lagrangian sense. Our existence criteria involve the invariants of the velocity
Steady rimming flows with surface tension
 J. Fluid Mech
, 2008
"... We examine steady flows of a thin film of viscous fluid on the inside of a cylinder with horizontal axis, rotating about this axis. If the amount of fluid in the cylinder is sufficiently small, all of it is entrained by rotation and the film is distributed more or less evenly. For medium amounts, th ..."
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Cited by 9 (0 self)
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We examine steady flows of a thin film of viscous fluid on the inside of a cylinder with horizontal axis, rotating about this axis. If the amount of fluid in the cylinder is sufficiently small, all of it is entrained by rotation and the film is distributed more or less evenly. For medium amounts
Hydrodynamic model of steady movement of a solid/liquid/fluid contact line. J Colloid Interface Sci 35:85–101
, 1971
"... Movement of the contact line over a solid surface violates the adherence, or "no slip, " boundary condition which is otherwise obeyed by flowing liquids. A flat fluid interface moving steadily over a flat solid is modeled with the creeping flow approximation, which turns out to be selfco ..."
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Cited by 117 (0 self)
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Movement of the contact line over a solid surface violates the adherence, or "no slip, " boundary condition which is otherwise obeyed by flowing liquids. A flat fluid interface moving steadily over a flat solid is modeled with the creeping flow approximation, which turns out to be self
Results 1  10
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3,879