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Mostrando ítems 1-7 de 7
Artículo
Quasilinear non-uniformly parabolic-elliptic system modelling chemotaxis with volume filling effect. Existence and uniqueness of global-in-time solutions
(Juliusz Schauder Center for Nonlinear Studies, 2007)
A system of quasilinear non-uniformly parabolic-elliptic equations modelling chemotaxis and taking into account the volume filling effect is studied under no-flux boundary conditions. The proof of existence and uniqueness ...
Artículo
Mortar finite element discretization of a model coupling Darcy and Stokes equations
(EDP Sciences, 2008)
As a first draft of a model for a river flowing on a homogeneous porous ground, we consider a system where the Darcy and Stokes equations are coupled via appropriate matching conditions on the interface. We propose a ...
Artículo
An analysis technique for stabilized finite element solution of incompressible flows
(EDP Sciences, 2001)
This paper presents an extension to stabilized methods of the standard technique for the numerical analysis of mixed methods. We prove that the stability of stabilized methods follows from an underlying discrete inf-sup ...
Artículo
Local existence and uniqueness of regular solutions in a model of tissue invasion by solid tumours
(Elsevier, 2008-03)
In this paper we consider a nonlinear system of differential equations arising in tumour invasion which has been proposed in [1] M.A.J. Chaplain and A.R.A. Anderson, Mathematical modelling of tissue invasion, in Cancer ...
Artículo
Métodos de elementos finitos estabilizados para flujos de fluidos incompresibles
(Sociedad Española de Matemática Aplicada, 1996)
Artículo
Mathematical modelling of cancer invasion of tissue the role and effect of nonlocal interactions
(World Scientific, 2009-02)
In this paper we consider a mathematical model of cancer cell invasion of tissue (extracellular matrix). Two crucial components of tissue invasion are (i) cancer cell proliferation, and (ii) over-expression and secretion ...
Artículo
Automatic insertion of a turbulence model in the finite element discretization of the Navier-Stokes equations
(World Scientific Publishing, 2009-07)
We consider the finite element discretization of the Navier–Stokes equations locally coupled with the equation for the turbulent kinetic energy through an eddy viscosity. We prove a posteriori error estimates which allow ...