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Displaying 541 –
560 of
3483
We are interested in a barotropic motion of the non-Newtonian bipolar
fluids .
We consider a special
case where the stress tensor is expressed in the form of
potentials depending on eii and .
We prove the
asymptotic stability of the rest state under the assumption
of the regularity of the potential forces.
The paper describes the special situation of barotropic nonnewtonian fluid, where stress tensor can be written in the form of potentials which depend on and . For this case, we prove the existence and uniqueness of weak solution.
We present the fiber-spring elastic model of the arterial wall with atherosclerotic
plaque composed of a lipid pool and a fibrous cap. This model allows us to reproduce
pressure to cross-sectional area relationship along the diseased vessel which is used in
the network model of global blood circulation. Atherosclerosis attacks a region of
systemic arterial network. Our approach allows us to examine the impact of the diseased
region onto global haemodynamics....
Non reflecting boundary conditions on artificial frontiers
of the domain are proposed for both
incompressible and compressible Navier-Stokes equations.
For incompressible flows, the boundary conditions lead to a well-posed
problem, convey properly the vortices without any reflections on the
artificial limits and allow to compute turbulent flows at high Reynolds
numbers.
For compressible flows, the boundary conditions convey properly the
vortices without any reflections on the artificial limits...
We review the optimal design of an arterial bypass graft following either a (i) boundary optimal control approach, or a (ii) shape optimization formulation. The main focus is quantifying and treating the uncertainty in the residual flow when the hosting artery is not completely occluded, for which the worst-case in terms of recirculation effects is inferred to correspond to a strong orifice flow through near-complete occlusion.A worst-case optimal control approach is applied to the steady Navier-Stokes...
This article is concerned with the nonlinear singular perturbation problem due to small diffusivity in nonlinear evolution equations of Chaffee-Infante type. The boundary layer appearing at the boundary of the domain is fully described by a corrector which is “explicitly" constructed. This corrector allows us to obtain convergence in Sobolev spaces up to the boundary.
Currently displaying 541 –
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3483