Ewa Zadrzyńska (2005)
Banach Center Publications
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In this survey we report on existence results for some free boundary problems for equations describing motions of both incompressible and compressible viscous fluids. We also present ways of controlling free boundaries in two cases: a) when the free boundary is governed by surface tension, b) when surface tension does not occur.
Josef Bemelmans (1987)
Annales de l'I.H.P. Analyse non linéaire
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Atusi Tani (1985)
Commentationes Mathematicae Universitatis Carolinae
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Ewa Zadrzyńska
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The results concerning free boundary problems for both incompressible and compressible Navier-Stokes equations are reviewed in this paper.
Tian Ma, Shouhong Wang (2002)
RACSAM
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This article presents a survey of a new dynamical systems theory for 2D incompressible flows and its applications to geophysical fluid dynamics.
Ersoy, Mehmet
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We present the full derivation of a one-dimensional free surface pipe or open channel flow model including friction with non constant geometry. The free surface model is obtained from the three-dimensional incompressible Navier-Stokes equations under shallow water assumptions with prescribed "well-suited" boundary conditions.
K. A. Cliffe, T. J. Garratt, Alastair Spence (1993)
Applications of Mathematics
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This paper is concerned with the problem of computing a small number of eigenvalues of large sparse generalized eigenvalue problems. The matrices arise from mixed finite element discretizations of time dependent equations modelling viscous incompressible flow. The eigenvalues of importance are those with smallest real part and are used to determine the linearized stability of steady states, and could be used in a scheme to detect Hopf bifurcations. We introduce a modified Cayley transform...