The search session has expired. Please query the service again.
It is established convergence to a particular equilibrium for weak solutions of abstract linear
equations of the second order in time associated with monotone operators with nontrivial kernel. Concerning nonlinear
hyperbolic equations with monotone and conservative potentials, it is proved a general asymptotic convergence result
in terms of weak and strong topologies of appropriate Hilbert spaces. It is also considered the stabilization of a
particular equilibrium via the introduction of an asymptotically...
We consider some discrete and continuous dynamics in a Banach space
involving a non expansive operator J and a corresponding family of
strictly contracting operators Φ (λ, x): = λ
J(x) for λ ∈ ] 0,1] . Our motivation
comes from the study of two-player zero-sum repeated games, where
the value of the n-stage game (resp. the value of the
λ-discounted game) satisfies the relation
vn = Φ(, ) (resp. = Φ(λ, ))
where J is the Shapley
operator of the game. We study the evolution equation
u'(t) =...
Dorsey, Di Bartolo and Dolgert (Di Bartolo et al., 1996; 1997) have constructed asymptotic matched solutions at order two for the half-space Ginzburg-Landau model, in the weak- limit. These authors deduced a formal expansion for the superheating field in powers of up to order four, extending the formula by De Gennes (De Gennes, 1966) and the two terms in Parr’s formula (Parr, 1976). In this paper, we construct asymptotic matched solutions at all orders leading to a complete expansion in powers...
Dorsey, Di Bartolo and Dolgert (Di Bartolo et al., 1996; 1997) have constructed
asymptotic matched solutions at order two for the half-space Ginzburg-Landau model,
in the weak-κ limit.
These authors deduced
a formal expansion for the superheating field in powers of up to
order four, extending the formula by De Gennes (De Gennes, 1966) and the two terms in
Parr's formula (Parr, 1976). In this paper, we construct asymptotic matched solutions
at all orders
leading to a complete expansion...
The problem of distributing two conducting materials with a prescribed volume ratio in a ball so as to minimize the first eigenvalue of an elliptic operator with Dirichlet conditions is considered in two and three dimensions. The gap ε between the two conductivities is assumed to be small (low contrast regime). The main result of the paper is to show, using asymptotic expansions with respect to ε and to small geometric perturbations of the optimal shape, that the global minimum of the first eigenvalue...
Propagation of polymerization fronts with liquid monomer and liquid polymer is considered
and the influence of vibrations on critical conditions of convective instability is
studied. The model includes the heat equation, the equation for the concentration and the
Navier-Stokes equations considered under the Boussinesq approximation. Linear stability
analysis of the problem is fulfilled, and the convective instability boundary is found
depending on...
We give an explicit upper bound for the number of isolated intersections between an integral curve of a polynomial vector field in Rn and an affine hyperplane.The problem turns out to be closely related to finding an explicit upper bound for the length of ascending chains of polynomial ideals spanned by consecutive derivatives.This exposition constitutes an extended abstract of a forthcoming paper: only the basic steps are outlined here, with all technical details being either completely omitted...
This paper is concerned with square integrable quasi-derivatives for any solution of a general quasi-differential equation of th order with complex coefficients , provided that all th quasi-derivatives of solutions of and all solutions of its normal adjoint are in and under suitable conditions on the function .
The limit behaviour of solutions of a singularly perturbed system is examined in the case where the fast flow need not converge to a stationary point. The topological convergence as well as information about the distribution of the values of the solutions can be determined in the case that the support of the limit invariant measure of the fast flow is an asymptotically stable attractor.
Currently displaying 21 –
40 of
59