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Displaying 1061 –
1080 of
1377
The Cahn-Hilliard variational inequality is a non-standard
parabolic variational inequality of fourth order for which
straightforward numerical
approaches cannot be applied. We propose a primal-dual active set
method which can be interpreted as a semi-smooth Newton method as
solution technique for the discretized Cahn-Hilliard variational
inequality. A (semi-)implicit Euler discretization is used in time
and a piecewise linear finite element discretization of splitting
type is used in space...
We formulate some existence theorems for systems of elliptic equations with nonlocal terms. The proofs are based on the invariant region method. The results are applied to a multitemperature model of laser sustained plasma.
This paper deals with the spectral study of the streaming operator with general boundary conditions defined by means of a boundary operator . We study the positivity and the irreducibility of the generated semigroup proved in [M. Boulanouar, L’opérateur d’Advection: existence d’un -semi-groupe (I), Transp. Theory Stat. Phys. 31, 2002, 153–167], in the case . We also give some spectral properties of the streaming operator and we characterize the type of the generated semigroup in terms of the...
We consider a broad class of stochastic lattice predator-prey models whose main features are overviewed. In particular, this article aims at drawing a picture of the influence of spatial fluctuations, which are not accounted for by the deterministic rate equations, on the properties of the stochastic models. Here, we outline the robust scenario obeyed by most of the lattice predator-prey models with an interaction à la Lotka-Volterra. We also show how a drastically different behavior can emerge...
This paper is concerned with the analysis and implementation of spectral Galerkin methods for a class of Fokker-Planck equations that arises from the kinetic theory of dilute polymers. A relevant feature of the class of equations under consideration from the viewpoint of mathematical analysis and numerical approximation is the presence of an unbounded drift coefficient, involving a smooth convex potential that is equal to along the boundary of the computational domain . Using a symmetrization...
This paper is concerned with the analysis and implementation of spectral Galerkin
methods for a class of Fokker-Planck equations that arises
from the kinetic theory of dilute polymers. A relevant feature of the class of equations
under consideration from the viewpoint of mathematical analysis and numerical approximation is
the presence of an unbounded drift coefficient, involving a smooth convex potential U that is equal to +∞ along
the boundary ∂D of the computational domain D.
Using a symmetrization...
We give an accurate asymptotic estimate for the gap of the generator
of a particular interacting particle system. The model we consider
may be informally described as follows. A certain number
of charged particles moves on the segment [1,L] according to
a Markovian law. One unitary charge, positive or negative,
jumps from a site k to another site k'=k+1 or k'=k-1 at a rate
which depends on the charge at site k and at site k'. The total
charge of the system is preserved by the dynamics, in...
Currently displaying 1061 –
1080 of
1377