Some application of the implicit function theorem to the stationary Navier-Stokes equations

Konstanty Holly

Displaying similar documents to “Some application of the implicit function theorem to the stationary Navier-Stokes equations”

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

Bui Ton, Grzegorz Łukaszewicz (1992)

Banach Center Publications

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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].

Some remarks to the compactness of steady compressible isentropic Navier-Stokes equations via the decomposition method

Antonín Novotný (1996)

Commentationes Mathematicae Universitatis Carolinae

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In [18]–[19], P.L. Lions studied (among others) the compactness and regularity of weak solutions to steady compressible Navier-Stokes equations in the isentropic regime with arbitrary large external data, in particular, in bounded domains. Here we investigate the same problem, combining his ideas with the method of decomposition proposed by Padula and myself in [29]. We find the compactness of the incompressible part $u$ of the velocity field $v$ and we give a new proof of the compactness...

Finite element approximation of the Navier-Stokes equation.

Boncuţ, Mioara (2004)

General Mathematics

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Solvability of inverse extremal problems for stationary heat and mass transfer equations.

Alekseev, G.V. (2001)

Sibirskij Matematicheskij Zhurnal

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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].

Qualitative behavior of a class of second order nonlinear differential equations on the halfline

Svatoslav Staněk (1993)

Annales Polonici Mathematici

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A differential equation of the form (q(t)k(u)u')' = F(t,u)u' is considered and solutions u with u(0) = 0 are studied on the halfline [0,∞). Theorems about the existence, uniqueness, boundedness and dependence of solutions on a parameter are given.