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RTI, namely, the occurrence of interfacial instabilities, has been first considered in 1883 by Lord Rayleigh in the idealized setting of two incompressible immiscible fluids in a constant gravitational field.
Then the following constraints should be obeyed: (1) incompressible condition: [nabla] x u = 0; (2) pressure constraint: [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].
In some problems of incompressible two-phase flow, petroleum reservoir engineering, for example, the porosity varies small with respect to the pressure.
Then there exists a [T.sub.*] > 0 and a unique solution [u.sup.0] [member of] [L.sup.[infinity]]([0, T]; [H.sup.s]([T.sup.3])) to the incompressible Euler equations (1.4) with the initial data [u.sup.0.sub.0](x) satisfying for any T [member of] (0, [T.sub.*])
In this section we consider the Taylor-Hood discretisation from Section 3.1, with different values of k [greater than or equal to] 2 for nearly incompressible elasticity and Stokes equations.
We can conclude that incompressible noise z denotes overall air of the image.
Large deformation isotropic elasticity on the correlation of theory and experiment for the incompressible rubber-like solids.
Li, "Incompressible limit of the compressible magnetohydrodynamic equations with periodic boundary conditions," Communications in Mathematical Physics, vol.
The incompressible fluid will also be moved with the piston, and the fluid motion will push the other piston backward under the volume conservation principle.
Note that in contrast to the two-dimensional incompressible Euler equations case, there is not a production term on the right-hand side of (1).
Lid-driven cavity problem often serves as a standard benchmark problem for incompressible Navier-Stokes equations because the benchmark data is available for comparison.
We consider the 3D incompressible magnetohydrodynamics (MHD) equations.
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