Existence, uniqueness, and quasilinearization results for nonlinear differential equations arising in viscoelastic fluid flow.
Akyildiz, F.Talay, Vajravelu, K. (2006)
Differential Equations & Nonlinear Mechanics
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Displaying similar documents to “Global existence of 2D slightly compressible viscous magneto-fluid motion.”
Existence, uniqueness, and quasilinearization results for nonlinear differential equations arising in viscoelastic fluid flow.
On quasi-stationary models of mixtures of compressible fluids
Jens Frehse, Wladimir Weigant (2008)
Applications of Mathematics
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We consider mixtures of compressible viscous fluids consisting of two miscible species. In contrast to the theory of non-homogeneous incompressible fluids where one has only one velocity field, here we have two densities and two velocity fields assigned to each species of the fluid. We obtain global classical solutions for quasi-stationary Stokes-like system with interaction term.
The global existence of weak solutions of the mollified system of equations of motion of viscous compressible fluid
Neustupa, Jiří
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On nonstationary motion of a fixed mass of a general viscous compressible heat conducting capillary fluid bounded by a free boundary
Ewa Zadrzyńska (1999)
Applicationes Mathematicae
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The motion of a fixed mass of a viscous compressible heat conducting capillary fluid is examined. Assuming that the initial data are sufficiently close to a constant state and the external force vanishes we prove the existence of a global-in-time solution which is close to the constant state for any moment of time. Moreover, we present an analogous result for the case of a barotropic viscous compressible fluid.
Peristaltic motion of a Johnson-Segalman fluid in a planar channel.
Hayat, T., Wang, Y., Siddiqui, A.M., Hutter, K. (2003)
Mathematical Problems in Engineering
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Wellposedness for the system modelling the motion of a rigid body of arbitrary form in an incompressible viscous fluid
Patricio Cumsille, Takéo Takahashi (2008)
Czechoslovak Mathematical Journal
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In this paper, we consider the interaction between a rigid body and an incompressible, homogeneous, viscous fluid. This fluid-solid system is assumed to fill the whole space , or . The equations for the fluid are the classical Navier-Stokes equations whereas the motion of the rigid body is governed by the standard conservation laws of linear and angular momentum. The time variation of the fluid domain (due to the motion of the rigid body) is not known , so we deal with a free boundary...
On pressure boundary conditions for steady flows of incompressible fluids with pressure and shear rate dependent viscosities
Martin Lanzendörfer, Jan Stebel (2011)
Applications of Mathematics
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We consider a class of incompressible fluids whose viscosities depend on the pressure and the shear rate. Suitable boundary conditions on the traction at the inflow/outflow part of boundary are given. As an advantage of this, the mean value of the pressure over the domain is no more a free parameter which would have to be prescribed otherwise. We prove the existence and uniqueness of weak solutions (the latter for small data) and discuss particular applications of the results. ...