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Displaying 41 –
60 of
519
We present a domain decomposition theory on an interface problem
for the linear transport equation between a diffusive and a non-diffusive region.
To leading order, i.e. up to an error of the order of the mean free path in the
diffusive region, the solution in the non-diffusive region is independent of the
density in the diffusive region. However, the diffusive and the non-diffusive regions
are coupled at the interface at the next order of approximation. In particular, our
algorithm avoids iterating...
We propose a mixed formulation for non-isothermal Oldroyd–Stokes problem where the both
extra stress and the heat flux’s vector are considered. Based on such a formulation, a
dual mixed finite element is constructed and analyzed. This finite element method enables
us to obtain precise approximations of the dual variable which are, for the non-isothermal
fluid flow problems, the viscous and polymeric components of the extra-stress tensor, as
well...
This paper deals with the mathematical and numerical analysis of a
simplified two-dimensional model for the interaction between the wind
and a sail. The wind is modeled as a steady irrotational plane flow past
the sail, satisfying the Kutta-Joukowski condition. This condition
guarantees that the flow is not singular at the trailing edge of the
sail. Although for the present analysis the position of the sail is
taken as data, the final aim of this research is to develop tools to
compute the sail...
This paper deals with the mathematical and numerical analysis of a
simplified two-dimensional model for the interaction between the wind
and a sail. The wind is modeled as a steady irrotational plane flow past
the sail, satisfying the Kutta-Joukowski condition. This condition
guarantees that the flow is not singular at the trailing edge of the
sail. Although for the present analysis the position of the sail is
taken as data, the final aim of this research is to develop tools to
compute the sail...
We consider a variational formulation of the three-dimensional Navier–Stokes equations with mixed boundary conditions and prove that the variational problem admits a solution provided that the domain satisfies a suitable regularity assumption. Next, we propose a finite element discretization relying on the Galerkin method and establish a priori and a posteriori error estimates.
We investigate the evolution of an almost flat membrane
driven by competition of the homogeneous, Frank, and
bending energies as well
as the coupling of the local order of the constituent molecules
of the membrane to its curvature.
We propose an alternative to
the model in [J.B. Fournier and P. Galatoa, J. Phys. II7 (1997) 1509–1520; N. Uchida, Phys. Rev. E66 (2002) 040902] which replaces
a Ginzburg-Landau penalization for the length of the
order parameter by a rigid constraint.
We introduce...
We investigate the behaviour of the meniscus of a drop of liquid aluminium in the neighbourhood of a state of equilibrium under the influence of weak electromagnetic forces. The mathematical model comprises both Maxwell and Navier-Stokes equations in 2D. The meniscus is governed by the Young-Laplace equation, the data being the jump of the normal stress. To show the existence and uniqueness of the solution we use the classical implicit function theorem. Moreover, the differentiability of the operator...
We study a two-grid scheme fully discrete in time and
space for solving the Navier-Stokes system. In the first step, the
fully non-linear problem is discretized in space on a coarse grid
with mesh-size H and time step k. In the second step, the
problem is discretized in space on a fine grid with mesh-size h
and the same time step, and linearized around the velocity uH
computed in the first step. The two-grid strategy is motivated by
the fact that under suitable assumptions, the contribution of
uH...
We generalize a classical result of T. Kato on the existence of global solutions to the Navier-Stokes system in C([0,∞);L3(R3)). More precisely, we show that if the initial data are sufficiently oscillating, in a suitable Besov space, then Kato's solution exists globally. As a corollary to this result, we obtain a theory of existence of self-similar solutions for the Navier-Stokes equations.
Currently displaying 41 –
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519