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Numerical experiments suggest interesting properties in the several fields of fluid dynamics, plasma physics and population dynamics. Among such properties, we may observe the interesting phenomena; that is, the repeated appearance and disappearance phenomena of the region penetrated by the fluid in the flow through a porous media with absorption. The model equation in two dimensional space is written in the form of the initial-boundary value problem for a nonlinear diffusion equation with the effect...
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....
We consider space semi-discretizations of the 1-d wave equation in a bounded
interval with homogeneous Dirichlet boundary conditions. We analyze the problem
of boundary observability, i.e., the problem of whether the total energy of
solutions can be estimated uniformly in terms of the energy concentrated on the
boundary as the net-spacing h → 0. We prove that, due to the spurious modes
that the numerical scheme introduces at high frequencies, there is no such a
uniform bound. We prove however a...
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