Finite differences and boundary element methods for non-stationary viscous incompressible flow

Werner Varnhorn

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Displaying similar documents to “Finite differences and boundary element methods for non-stationary viscous incompressible flow”

Existence of local solutions for free boundary problems for viscous compressible barotropic fluids

W. M. Zajączkowski (1995)

Annales Polonici Mathematici

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We prove the local existence of solutions for equations of motion of a viscous compressible barotropic fluid in a domain bounded by a free surface. The solutions are shown to exist in exactly those function spaces where global solutions were found in our previous papers [14, 15].

Convergence of the rotating fluids system in a domain with rough boundaries

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 $ϵ$ . We prove a convergence theorem on solutions of Navier-Stokes Coriolis equations, as $ϵ$ 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...

On a non-stationary free boundary transmission problem with continuous extraction and convection, arising in industrial processes

Bui Ton, Grzegorz Łukaszewicz (1992)

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The existence of a weak solution of a non-stationary free boundary transmission problem arising in the production of industrial materials is established. The process is governed by a coupled system involving the Navier--Stokes equations and a non-linear heat equation. The stationary case was studied in [7].

Solution to a transmission problem for quasilinear pseudoparabolic equations by the Rothe method.

Bouziani, A., Merazga, N. (2007)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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The method of characteristics for hyperbolic boundary value problems on the plane.

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On the periodic boundary-value problem for systems of second-order nonlinear ordinary differential equations.

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On the correctness of nonlinear boundary value problems for systems of generalized ordinary differential equations.

Ashordia, M. (1996)

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Finite element approximation of the Navier-Stokes equation.

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Boundary variational inequality approach in the anisotropic elasticity for the Signorini problem.

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Solvability of some singular and nonsingular nonlinear third order boundary value problems

D. O'Regan (1991)

Annales Polonici Mathematici

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Existence of positive solution to certain classes of singular and nonsingular third order nonlinear two point boundary value problems is examined using the idea of Topological Transversality.