This paper concerns the reconstruction of a scalar diffusion coefficient σ(x) from redundant functionals of the form Hi(x) = σ (x)|∇ui|(x) where α ∈ R and ui is a solution of the elliptic problem ∇ · σ∇ui = 0 for 1 ≤ i ≤ I. The case α = 1 2 is used to model measurements obtained from modulating a domain of interest by ultrasound and finds applications in ultrasound modulated electrical impedanc...

We consider spectral optimization problems with internal inclusion constraints, of the form min { λk(Ω) : D ⊂ Ω ⊂ R, |Ω| = m } , where the set D is fixed, possibly unbounded, and λk is the k th eigenvalue of the Dirichlet Laplacian on Ω. We analyze the existence of a solution and its qualitative properties, and rise some open questions.

This paper reviews recent results on hybrid inverse problems, which are also called coupled-physics inverse problems of multiwave inverse problems. Inverse problems tend to be most useful in, e.g., medical and geophysical imaging, when they combine high contrast with high resolution. In some settings, a single modality displays either high contrast or high resolution but not both. In favorable ...

Most of the major problems of medicine that can be solved by the study of human material alone have been settled as far as available methods and materials permit. Most of our remaining problems apparently will have to be settled by work with animals, which furnish the essential possibility of control of observations and results, a feature difficult, often impossible, when human material must be...

The article is devoted to the study of structure Iranian political elite and contours a new intra-elite balance that may arise after departure Ali Khamenei from post supreme leader. author tries identify those problems challenges threatens socio-political system Islamic Republic in current turbulent period, when, on one hand, global economic crisis growing, other Yalta-Potsdam international rel...

Internal waves in the atmosphere and ocean are generated frequently from the interaction of mean flow with bottom obstacles such as mountains and submarine ridges. Analysis of these environmental phenomena involves theoretical models of non-homogeneous fluid affected by the gravity. In this paper, a semi-analytical model of stratified flow over the mountain range is considered under the assumpt...