On 2D Rayleigh-Taylor instabilities
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Displaying 1 – 20 of 153
On a certain lubrication slip model.
Hadi, Khalid Ait, El Bansami, My Hafid (2005)
International Journal of Mathematics and Mathematical Sciences
On a construction of weak solutions to non-stationary Stokes type equations by minimizing variational functionals and their regularity
Hiroshi Kawabi (2005)
Commentationes Mathematicae Universitatis Carolinae
In this paper, we prove that the regularity property, in the sense of Gehring-Giaquinta-Modica, holds for weak solutions to non-stationary Stokes type equations. For the construction of solutions, Rothe's scheme is adopted by way of introducing variational functionals and of making use of their minimizers. Local estimates are carried out for time-discrete approximate solutions to achieve the higher integrability. These estimates for gradients do not depend on approximation.
On a free boundary problem for the stationary Navier-Stokes equations
Josef Bemelmans (1987)
Annales de l'I.H.P. Analyse non linéaire
On a Mixed Finite Element Approximation of the Stokes Problem (I). Convergence of the Approximate Solutions.
O. Pironneau, R. Glowinski (1979)
Numerische Mathematik
On a mixed finite element method for the Stokes problem in
Juhani Pitkäranta (1982)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
On a motion of a ball in a viscous fluid. (Zur Bewegung einer Kugel in einer zähen Flüssigkeit.)
Hoffmann, Karl-Heinz, Starovoitov, Victor N. (2000)
Documenta Mathematica
On a new class of generalized solutions for the Stokes equations in exterior domains
Hideo Kozono, Hermann Sohr (1992)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
On a possibility of generalization of the Hopf lemma to the case of the Navier-Stokes system with nonzero flows.
Illarionov, A.A. (2009)
Sibirskij Matematicheskij Zhurnal
On a problem of shallow water type.
El Alaoui Talibi, Mohamed, Tber, Moulay Hicham (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
On a pulsatile flow of a two-phase viscous fluid in a tube of elliptic cross-section.
Ghosh, A.K., Khan, A.R., Debnath, L. (1990)
International Journal of Mathematics and Mathematical Sciences
On a shape control problem for the stationary Navier-Stokes equations
Max D. Gunzburger, Hongchul Kim, Sandro Manservisi (2000)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
On a shape control problem for the stationary Navier-Stokes equations
Max D. Gunzburger, Hongchul Kim, Sandro Manservisi (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
An optimal shape control problem for the stationary Navier-Stokes system is considered. An incompressible, viscous flow in a two-dimensional channel is studied to determine the shape of part of the boundary that minimizes the viscous drag. The adjoint method and the Lagrangian multiplier method are used to derive the optimality system for the shape gradient of the design functional.
On a similarity solution of MHD boundary layer flow over a moving vertical cylinder.
Amkadni, Maryem, Azzouzi, Adnane (2006)
Differential Equations & Nonlinear Mechanics
On a stabilized colocated Finite Volume scheme for the Stokes problem
Robert Eymard, Raphaèle Herbin, Jean Claude Latché (2006)
ESAIM: Mathematical Modelling and Numerical Analysis
We present and analyse in this paper a novel colocated Finite Volume scheme for the solution of the Stokes problem. It has been developed following two main ideas. On one hand, the discretization of the pressure gradient term is built as the discrete transposed of the velocity divergence term, the latter being evaluated using a natural finite volume approximation; this leads to a non-standard interpolation formula for the expression of the pressure on the edges of the control volumes. On the other...
On a steady flow in a three-dimensional infinite pipe
Paweł Konieczny (2006)
Colloquium Mathematicae
The paper examines the steady Navier-Stokes equations in a three-dimensional infinite pipe with mixed boundary conditions (Dirichlet and slip boundary conditions). The velocity of the fluid is assumed to be constant at infinity. The main results show the existence of weak solutions with no restriction on smallness of the flux vector and boundary conditions.
On a temperature-dependent Hele-Shaw flow in one dimension
Antonio Fasano, Laura Pezza (2001)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
A model is presented for a Hele-Shaw flow with variable temperature in one space dimension. The problem to be solved is a free boundary problem for a parabolic equation with a non-linear and non-local free boundary condition. Existence and uniqueness are proved.
On an evolutionary nonlinear fluid model in the limiting case
Stephan Luckhaus, Josef Málek (2001)
Mathematica Bohemica
We consider the two-dimesional spatially periodic problem for an evolutionary system describing unsteady motions of the fluid with shear-dependent viscosity under general assumptions on the form of nonlinear stress tensors that includes those with -structure. The global-in-time existence of a weak solution is established. Some models where the nonlinear operator corresponds to the case are covered by this analysis.
On an existence theorem for the Navier-Stokes equations with free slip boundary condition in exterior domain
Rieko Shimada, Norikazu Yamaguchi (2008)
Banach Center Publications
This paper deals with a nonstationary problem for the Navier-Stokes equations with a free slip boundary condition in an exterior domain. We obtain a global in time unique solvability theorem and temporal asymptotic behavior of the global strong solution when the initial velocity is sufficiently small in the sense of Lⁿ (n is dimension). The proof is based on the contraction mapping principle with the aid of estimates for the Stokes semigroup associated with a linearized problem, which is also...
On approximate controllability of the Stokes system
Andrei V. Fursikov, Oleg Yu Imanuvilov (1993)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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