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We consider an equilibrium problem with equilibrium constraints (EPEC) arising from the
modeling of competition in an electricity spot market (under ISO regulation). For a
characterization of equilibrium solutions, so-called M-stationarity conditions are
derived. This first requires a structural analysis of the problem, e.g.,
verifying constraint qualifications. Second, the calmness property of a certain
multifunction has to be verified in order...
In the 1950’s and 1960’s surface physicists/metallurgists such as Herring and Mullins applied ingenious thermodynamic arguments to explain a number of experimentally observed surface phenomena in crystals. These insights permitted the successful engineering of a large number of alloys, where the major mathematical novelty was that the surface response to external stress was anisotropic. By examining step/terrace (vicinal) surface defects it was discovered through lengthy and tedious experiments...
In the 1950's and 1960's surface physicists/metallurgists such as
Herring and Mullins applied ingenious thermodynamic arguments to explain a
number of experimentally observed surface phenomena in crystals. These insights permitted
the successful engineering of a large number of alloys, where the
major mathematical novelty was that the surface response to external stress was anisotropic.
By examining step/terrace (vicinal) surface defects it was discovered through
lengthy and tedious experiments...
In this paper we deal with the anti-periodic boundary value problems with nonlinearity of the form , where Extending to be multivalued we obtain the existence of solutions to hemivariational inequality and variational-hemivariational inequality.
We consider applications, illustration and concrete numerical treatments of some homogenization results on Stokes flow in porous media. In particular, we compute the global permeability tensor corresponding to an unidirectional array of circular fibers for several volume-fractions. A 3-dimensional problem is also considered.
In this paper we are concerned with the solution of degenerate variational inequalities. To solve this problem numerically, we propose a numerical scheme which is based on the relaxation scheme using non-standard time discretization. The approximate solution on each time level is obtained in the iterative way by solving the corresponding elliptic variational inequalities. The convergence of the method is proved.
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