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The first part of this paper reviews the single time scale/multiple length scale low Mach number asymptotic analysis by Klein (1995, 2004). This theory explicitly reveals the interaction of small scale, quasi-incompressible variable density flows with long wave linear acoustic modes through baroclinic vorticity generation and asymptotic accumulation of large scale energy fluxes. The theory is motivated by examples from thermoacoustics and combustion. In an almost obvious way specializations of this...
The first part of this paper reviews the single time scale/multiple
length scale low Mach number asymptotic analysis by Klein (1995, 2004).
This theory explicitly reveals the interaction of small scale,
quasi-incompressible variable density flows with long wave linear
acoustic modes through baroclinic vorticity generation and asymptotic
accumulation of large scale energy fluxes. The theory is motivated by
examples from thermoacoustics and combustion. In an almost obvious way specializations of...
Different effective boundary conditions or wall laws for unsteady incompressible Navier-Stokes equations over rough domains are derived in the laminar setting. First and second order unsteady wall laws are proposed using two scale asymptotic expansion techniques. The roughness elements are supposed to be periodic and the influence of the rough boundary is incorporated through constitutive constants. These constants are obtained by solving steady Stokes problems and so they are calculated only once....
Different effective boundary conditions or wall laws for unsteady incompressible Navier-Stokes equations over rough
domains are derived in the laminar setting. First and second order unsteady wall laws are proposed using two scale asymptotic
expansion techniques. The roughness elements are supposed to be periodic and the influence of the
rough boundary is incorporated through constitutive constants. These constants are obtained by solving steady
Stokes problems and so they are calculated only...
In this paper we introduce a coupled systems of kinetic equations for
the linearized Carleman model. We then study the existence
theory and
the asymptotic behaviour of the resulting coupled problem. In order to
solve the coupled problem we propose to use the time marching algorithm.
We then develop a convergence theory for the resulting algorithm. Numerical
results confirming the theory are then presented.
In this note we give a result of convergence when time goes to infinity for a
quasi static linear elastic model, the elastic tensor of which vanishes at
infinity. This method is applied to segmentation of medical images, and improves
the 'elastic deformable template' model introduced previously.
L’objet de cette note est le problème de Cauchy pour l’équation de Prandtl, dans des espaces de régularité Sobolev. Nous discutons de façon synthétique des résultats récents [4], établissant le caractère fortement linéairement mal posé de ce problème.
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