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Displaying 61 – 80 of 341

Small time-periodic solutions of equations of magnetohydrodynamics as a singularly perturbed problem

Milan Štědrý, Otto Vejvoda (1983)

Aplikace matematiky

This paper deals with a system of equations describing the motion of viscous electrically conducting incompressible fluid in a bounded three dimensional domain whose boundary is perfectly conducting. The displacement current appearing in Maxwell’s equations, $ϵ E_{t}$ is not neglected. It is proved that for a small periodic force and small positive there exists a locally unique periodic solution of the investigated system. For $ϵ \to 0$ , these solutions are shown to convergeto a solution of the simplified (and...

Small-stencil 3D schemes for diffusive flows in porous media

Robert Eymard, Cindy Guichard, Raphaèle Herbin (2012)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

In this paper, we study some discretization schemes for diffusive flows in heterogeneous anisotropic porous media. We first introduce the notion of gradient scheme, and show that several existing schemes fall into this framework. Then, we construct two new gradient schemes which have the advantage of a small stencil. Numerical results obtained for real reservoir meshes show the efficiency of the new schemes, compared to existing ones.

Small-stencil 3D schemes for diffusive flows in porous media

Robert Eymard, Cindy Guichard, Raphaèle Herbin (2011)

ESAIM: Mathematical Modelling and Numerical Analysis

Smoothness of the motion of a rigid body immersed in an incompressible perfect fluid

Olivier Glass, Franck Sueur, Takéo Takahashi (2012)

Annales scientifiques de l'École Normale Supérieure

We consider the motion of a rigid body immersed in an incompressible perfect fluid which occupies a three-dimensional bounded domain. For such a system the Cauchy problem is well-posed locally in time if the initial velocity of the fluid is in the Hölder space $C^{1, r}$ . In this paper we prove that the smoothness of the motion of the rigid body may be only limited by the smoothness of the boundaries (of the body and of the domain). In particular for analytic boundaries the motion of the rigid body is analytic...

Smoothness properties of solutions to the nonlinear Stokes problem with nonautonomous potentials

Dominic Breit (2013)

Commentationes Mathematicae Universitatis Carolinae

We discuss regularity results concerning local minimizers $u : ℝ^{n} \supset Ω \to ℝ^{n}$ of variational integrals like $\begin{matrix} \int_{Ω} {F (\cdot, ε (w)) - f \cdot w} d x \end{matrix}$ defined on energy classes of solenoidal fields. For the potential $F$ we assume a $(p, q)$ -elliptic growth condition. In the situation without $x$ -dependence it is known that minimizers are of class $C^{1, α}$ on an open subset $Ω_{0}$ of $Ω$ with full measure if $q < p \frac{n + 2}{n}$ (for $n = 2$ we have $Ω_{0} = Ω$ ). In this article we extend this to the case of nonautonomous integrands. Of course our result extends to weak solutions of the corresponding nonlinear...

Sobre flujos subsónicos alrededor de un obstáculo simétrico.

J. Ildefonso Díaz, Albert Dou (1982)

Collectanea Mathematica

Sobre la aproximación numérica de un problema de control geométrico.

Enrique Fernandez Cara (1982)

Collectanea Mathematica

Solitary Structures Sustained by Marangoni Flow

L.M. Pismen (2010)

Mathematical Modelling of Natural Phenomena

We construct interfacial solitary structures (spots) generated by a bistable chemical reaction or a non-equilibrium phase transition in a surfactant film. The structures are stabilized by Marangoni flow that prevents the spread of a state with a higher surface tension when it is dynamically favorable. In a system without surfactant mass conservation, a unique radius of a solitary spot exists within a certain range of values of the Marangoni number...

Soliton dynamics for the Korteweg-de Vries equation with multiplicative homogeneous noise.

De Bouard, Anne, Debussche, Arnaud (2009)

Electronic Journal of Probability [electronic only]

Solute transport in porous media with equilibrium and non-equilibrium multiple-site adsorpition: Travelling weaves.

C.J. van Duijn, P. Knabner (1991)

Journal für die reine und angewandte Mathematik

Solution forte pour des équations intégro-différentielles non linéaires paraboliques

Guy Vallet (1997)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Solution globale de l'équation d'un gaz visqueux isotherme dans l'espace entier avec une grande force extérieure dérivant d'un potentiel

Rachid Benabidallah (1995)

Rendiconti del Seminario Matematico della Università di Padova

Solution globale de l'équation d'un gaz visqueux isotherme dans un domaine extérieur assujetti à une grande force dérivant d'un potentiel

Rachid Benabidallah (1998)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Solution numérique de l'équation des ondes d'Alfven avec un terme de dissipation par résistance

M. Bordenave, A. Rigal (1969)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Solution of a linear model of a single-piston pump by means of methods for differential equations in Hilbert spaces

Ivan Straškraba (1986)

Aplikace matematiky

A mathematical model of a fluid flow in a single-piston pump is formulated and solved. Variation of pressure and rate of flow in suction and delivery piping respectively is described by linearized Euler equations for barotropic fluid. A new phenomenon is introduced by a boundary condition with discontinuous coefficient describing function of a valve. The system of Euler equations is converted to a second order equation in the space $L^{2} (0, l)$ where $l$ is length of the pipe. The existence, unicity and stability...

Solution of a mathematical model of a single piston pump with a more detailed description of the valve function

Ivan Straškraba (1988)

Aplikace matematiky

In this paper a mathematical model of a fluid flow in a tube with a valve and a pump is solved. The function of the valve is described in more detail than in [3], thus making the model more complete.

Solution of a nonstationary boundary value problem for internal magnetohydrodynamics waves on the interface of layers of a conducting fluid.

Sozanov, V.G., Muzaev, I.D., Shumakov, N.S. (2001)

Vladikavkazskiĭ Matematicheskiĭ Zhurnal

Solution of contaminant transport with adsorption in porous media by the method of characteristics

Jozef Kacur, Roger Van Keer (2001)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

A new approximation scheme is presented for the mathematical model of convection-diffusion and adsorption. The method is based on the relaxation method and the method of characteristics. We prove the convergence of the method and present some numerical experiments in 1D. The results can be applied to the model of contaminant transport in porous media with multi-site, equilibrium and non-equilibrium type of adsorption.

Solution of contaminant transport with adsorption in porous media by the method of characteristics

Jozef Kacur, Roger Van Keer (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

Solution of elliptic problem with not fully specified Dirichlet boundary value conditions and its application in hydrodynamics

Miloslav Feistauer (1979)

Aplikace matematiky

The author solves a mixed boundary value problem for linear partial differential equations of the elliptic type in a multiply connected domain. Dirichlet conditions are given on the components of the boundary of the domain up to some additive constants which are not known a priori. These constants are to be determined, together with the solution of the boundary value problem, to fulfil some additional conditions. The results are immediately applicable in hydrodynamics to the solution of problems...

Currently displaying 61 – 80 of 341

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