In this thesis, spectral analysis techniques are generalized to process polari-metric multibaseline interferometric SAR data. These polarimetric arraysignal processing algorithms are described in a rigorous mathematical wayand applied to urban areas. They permit the estimation of the reflectorheight, the scattering mechanism, and the polarimetric reflectivity. Fromsingle...

Many service providers on the Internet use multiple mirror servers to cope with request congestion. Here, the problem is how to select the best server out of them. We propose a DNS-based mechanism for server selection with preferred policies. DNS (Domain Name System) is used in almost all services and implementations. Therefore, our approach is generally applicable. The mechanism consists of tw...

We present an asymptotic analysis of a mesoscale energy for bilayer membranes that has been introduced and analyzed in two space dimensions by the second and third author (Arch. Ration. Mech. Anal. 193, 2009). The energy is both non-local and nonconvex. It combines a surface area and a Monge–Kantorovich-distance term, leading to a competition between preferences for maximally concentrated and m...

We compute the limit shapes of the Young diagrams of the minimal difference p partitions and provide a simple physical interpretation for the limit shapes. We also calculate the asymptotic distribution of the largest part of the Young diagram and show that the scaled distribution has a Gumbel form for all p. This Gumbel statistics for the largest part remains unchanged even for general partitio...

An inference based method for modeling complex non linear systems is presented that integrates current approaches to mod eling of microwave devices within a gen eralized non linear framework Familiar techniques for characterizing and emulat ing linear and non linear systems are em bedded in an automated weighting mech anism so that globally complex behavior is approximated by a number of simple...

This paper proposes an explicit, (at least) second-order, maximum principle satisfying, Lagrange finite element method for solving nonlinear scalar conservation equations. The technique is based on a new viscous bilinear form introduced in Guermond and Nazarov [Comput. Methods Appl. Mech. Engrg., 272 (2014), pp. 198–213], a high-order entropy viscosity method, and the Boris–Book–Zalesak flux co...

We consider a variational scheme developed by S. Demoulini, D. M. A. Stuart and A. E. Tzavaras [Arch. Rat. Mech. Anal. 157 (2001)] that approximates the equations of three dimensional elastodynamics with polyconvex stored energy. We establish the convergence of the time-continuous interpolates constructed in the scheme to a solution of polyconvex elastodynamics before shock formation. The proof...

8 The formulas for the t4, the Aij and the following quantity Go(M, a) are given in the paper "On Curved Shock Waves," J. Math. Physics, 26, 62-68 (1947). A more ex plicit formula for Go is to be found in the article "Calculation of the Curvatures of Attached Shock Waves," Ibid., 27, 279-297 (1949). 4 This relation is derived in §7 of the forthcoming article "The Determination of Pressure on Cu...

Recent results by Richardson et al. (Mech. Dev., 52 (1995) 165-177) suggest that the Xenopus Rel gene XrelA may be involved in the formation of the head and tail of the early embryo. We present evidence to suggest that wild-type XrelA also has a role in dorsoventral development. XrelA overexpression in the dorsal side of embryos reduces dorsal development and attenuates in vitro dorsal morphoge...

The evolution equation derived by Xiang (SIAM J. Appl. Math. 63:241–258, 2002) to describe vicinal surfaces in heteroepitaxial growth is ht = − [ H(hx) + ( h−1 x + hx ) hxx ] xx , (1) where h denotes the surface height of the film, and H is the Hilbert transform. Existence of solutions was obtained by Dal Maso, Fonseca and Leoni (Arch. Rational Mech. Anal. 212: 1037–1064, 2014). The regularity ...