A direct boundary integral method for a mobility problem.
Kohr, Mirela (2000)
Georgian Mathematical Journal
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Kohr, Mirela (2000)
Georgian Mathematical Journal
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David Gérard-Varet (2003)
Journées équations aux dérivées partielles
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We consider a rotating fluid in a domain with rough horizontal boundaries. The Rossby number, kinematic viscosity and roughness are supposed of characteristic size . We prove a convergence theorem on solutions of Navier-Stokes Coriolis equations, as goes to zero, in the well prepared case. We show in particular that the limit system is a two-dimensional Euler equation with a nonlinear damping term due to boundary layers. We thus generalize the results obtained on flat boundaries with...
Gireesha, B.J., Bagewadi, C.S., Venkatesh, P., Kumara, B.C.Prasanna (2008)
Acta Universitatis Apulensis. Mathematics - Informatics
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A. Golbabai (1995)
Applicationes Mathematicae
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This paper considers the effect of a perturbed wall in regard to the classical Benard convection problem in which the lower rigid surface is of the form , s=ε r, in axisymmetric cylindrical polar coordinates (r,ϕ,z). The boundary conditions at s=0 for the linear amplitude equation are found and it is shown that these conditions are different from those which apply to the nonlinear problem investigated by Brown and Stewartson [1], representing the distribution of convection cells near...
Branko R. Obrović, Slobodan R. Savić (2002)
Kragujevac Journal of Mathematics
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Paolo Secchi (1992)
Banach Center Publications
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Brighi, B., Hoernel, J.D. (2008)
Acta Mathematica Universitatis Comenianae. New Series
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Grecu, Luminiţa (2006)
Acta Universitatis Apulensis. Mathematics - Informatics
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Boughanim, Fouad, Boukrouche, Mahdi, Smaoui, Hassan (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Werner Varnhorn (1994)
Banach Center Publications
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We consider an implicit fractional step procedure for the time discretization of the non-stationary Stokes equations in smoothly bounded domains of ℝ³. We prove optimal convergence properties uniformly in time in a scale of Sobolev spaces, under a certain regularity of the solution. We develop a representation for the solution of the discretized equations in the form of potentials and the uniquely determined solution of some system of boundary integral equations. For the numerical computation...
Buchukuri, T., Chichinadze, R. (1994)
Georgian Mathematical Journal
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Angel Castro, Diego Córdoba, Francisco Gancedo (2010)
Journées Équations aux dérivées partielles
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We consider the dynamics of an interface given by two incompressible fluids with different characteristics evolving by Darcy’s law. This scenario is known as the Muskat problem, being in 2D mathematically analogous to the two-phase Hele-Shaw cell. The purpose of this paper is to outline recent results on local existence, weak solutions, maximum principles and global existence.