The search session has expired. Please query the service again.
Displaying 1 –
20 of
2377
-convergence techniques and relaxation results of constrained energy functionals are used to identify the limiting energy as the thickness approaches zero of a ferromagnetic thin structure , , whose energy is given bysubject toand to the constraintwhere is any continuous function satisfying -growth assumptions with . Partial results are also obtained in the case , under an additional assumption on .
Γ-convergence techniques and relaxation results of
constrained energy functionals are used to identify the limiting energy as the
thickness ε approaches zero of a ferromagnetic thin
structure , , whose
energy is given by
subject to
and to the constraint
where W is any continuous function satisfying p-growth assumptions
with p> 1.
Partial results are also obtained in the case p=1, under
an additional assumption on W.
The present paper concerns the problem of the flow through a semipermeable membrane of infinite thickness. The semipermeability boundary conditions are first considered to be monotone; these relations are therefore derived by convex superpotentials being in general nondifferentiable and nonfinite, and lead via a suitable application of the saddlepoint technique to the formulation of a multivalued boundary integral equation. The latter is equivalent to a boundary minimization problem with a small...
We consider the question whether the assumption of convexity
of the set involved in Clarke-Ledyaev inequality can be relaxed. In the case
when the point is outside the convex hull of the set we show that Clarke-Ledyaev
type inequality holds if and only if there is certain geometrical relation between the point and the set.
This work is concerned with the reformulation of evolutionary problems in a weak form enabling consideration of solutions that may exhibit evolving microstructures. This reformulation is accomplished by expressing the evolutionary problem in variational form, i.e., by identifying a functional whose minimizers represent entire trajectories of the system. The particular class of functionals under consideration is derived by first defining a sequence of time-discretized minimum problems and subsequently...
This work is concerned with the reformulation of evolutionary problems in a
weak form enabling consideration of solutions that may exhibit
evolving microstructures. This reformulation is accomplished by
expressing the evolutionary problem in variational form, i.e., by
identifying a functional whose minimizers represent entire
trajectories of the system. The particular class of functionals under
consideration is derived by first defining a sequence of time-discretized
minimum problems and...
We analyze a nonlinear discrete scheme depending on second-order finite differences. This is the two-dimensional analog of a scheme which in one dimension approximates a free-discontinuity energy proposed by Blake and Zisserman as a higher-order correction of the Mumford and Shah functional. In two dimension we give a compactness result showing that the continuous problem approximating this difference scheme is still defined on special functions with bounded hessian, and we give an upper and a lower...
Currently displaying 1 –
20 of
2377