In this paper, we address the problem of the joint classification of multiple images acquired on the same scene at different spatial resolutions. From an application viewpoint, this problem is of importance in several contexts, including, most remarkably, satellite and aerial imagery. From a methodolog-ical perspective, we use a probabilistic graph...
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In this paper, we develop reduced models to approximate the solution of the electromagnetic scattering problem in an unbounded domain which contains a small perfectly conducting sphere. Our approach is based on the method of matched asymptotic expansions. This method consists indefining an approximate solution using multi-scale expansions over oute...
In this paper, our main goal is to study the stability of the ther-moelastic Timoshenko beam with locally distributed temperature. Then, we consider the transmission problem of the Timoshenko system in thermoelas-ticity with two concentrated masses. We show the non-exponential stability by using a result introduced by J. E. Muñoz Rivera and R. Rack...
We use a localization procedure to weaken the growth assumptions of Royer [8], Miclo [4] and Zitt [9] concerning the continuous-time simulated annealing in R d. We show that a transition occurs for potentials growing like a log log |x| at infinity. We also study a class of potentials with possibly unbounded sets of local minima.
In this work, we address the local controllability of a one-dimensional free boundary problem for a fluid governed by the viscous Burgers equation. The free boundary manifests itself as one moving end of the interval, and its evolution is given by the value of the fluid velocity at this endpoint. We prove that, by means of a control actuating along...
We pursue the study of holomorphic Cartan geometry with singularities. We introduce the notion of logarithmic Cartan geometry on a complex manifold, with polar part supported on a normal crossing divisor. In particular, we show that the push-forward of a Cartan geometry constructed using a finite Galois ramified covering is a logarithmic Cartan geo...
We present the derivation and implementation of a mathematical model for the linear elastic structure of a violin bridge. In favour of getting highly accurate simulation results, special effort has been taken to reconstruct the computational geometry from a µ-CT scan. After laying out our approach for this in detail, we also present first vibroacou...
Let ϕ : D → D be a holomorphic map with a fixed point α ∈ D such that 0 ≤ |ϕ (α)|
We analyze the stability of a linearized hydrodynamical model describing the response of nanometric dispersive metallic materials illuminated by optical light waves that is the situation occurring in nanoplasmonics. This model corresponds to the coupling between the Maxwell system and a PDE describing the evolution of the polarization current of th...
