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Considering the one-phase Stefan problem, we present an account of some recent mathematical results within the framework of variational inequalities. We discuss several situations corresponding to different boundary conditions and different geometries, like the exterior problem, the continuous...
The main objective of this paper is to point out several difficulties related to formulating and solving numerically the problem of optimal design of structural systems subjected to ‘worst admissible’ controls (that is ‘worst’ external loads). First some known facts and available results are...
This paper describes the topologically possible global defect behavior of ordinary nematics in 3-space. It is written for physicists interested in defects of ordered media as well as for topologists, but instead of using an ‘intermediate’ way of presentation, which might appeal to no one, we...
In this paper we present a review of results on the integrability of dynamical systems and its detection. Three different approaches are examined. The first introduces the Kowalevski exponents as related to the singularity structure of some weighted homogeneous differential systems. It is proved...
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