Now showing items 117-136 of 220

• #### Mathematical Models of Incompressible Fluids as Singular Limits of Complete Fluid Systems ﻿

(2010-12-31)
A rigorous justification of several well-known mathematical models of incompressible fluid flows can be given in terms of singular limits of the scaled Navier-Stokes-Fourier system, where some of the characteristic numbers ...
• #### Maximum Principles for vectorial approximate minimizers of nonconvex functionals ﻿

(2013-12-31)
We establish Maximum Principles which apply to vectorial approximate minimizers of the general integral functional of Calculus of Variations. Our main result is a version of the Convex Hull Property. The primary advance ...
• #### Minimization of length and curvature on planar curves ﻿

(2009-12-31)
In this paper we consider the problem of reconstructing a curve that is partially hidden or corrupted by minimizing the functional ∫ √1+K 2 ds, depending both on length and curvature K. We fix starting and ending points ...
• #### Mode-independent H2-control of a DC motor modeled as a Markov jump linear system ﻿

(2014-12-31)
This brief presents a control strategy for Markov jump linear systems (MJLS) with no access to the Markov state (or mode). The controller is assumed to be in the linear state-feedback format and the aim of the control ...
• #### Molien series and low-degree invariants for a natural action of $SO(3) \wr Z_2$ ﻿

(2015-12-31)
We investigate the invariants of the 25-dimensional real representation of the group SO(3) ? Z2 given by the left and right actions of SO(3) on 5 5 matrices together with matrix transposition; the action on column vectors ...
• #### Nematic elastomers: Gamma-limits for large bodies and small particles ﻿

(2011-12-31)
We compute the large-body and the small-particle Gamma-limit of a family of energies for nematic elastomers. We work under the assumption of small deformations (linearized kinematics) and consider both compressible and ...
• #### Non-reflecting boundary condition on ellipsoidal boundary ﻿

(2012-12-31)
The modeling of wave propagation problems using finite element methods usually requires the truncation of the computation domain around the scatterer of interest. Absorbing boundary conditions are classically considered ...
• #### Nonlinear weakly curved rod by Γ-Convergence ﻿

(2012-12-31)
We present a nonlinear model of weakly curved rod, namely the type of curved rod where the curvature is of the order of the diameter of the cross-section. We use an approach analogous to the one for rods and curved rods ...
• #### Null controllability for a heat equation with a singular inverse-square potential involving the distance to the boundary function ﻿

(2016-01-01)
This article is devoted to the analysis of control properties for a heat equation with a singular potential μ/δ2, defined on a bounded C2 domain Ω⊂RN, where δ is the distance to the boundary function. More precisely, we ...
• #### Null controllability for some systems of two backward stochastic heat equations with one control force ﻿

(2012-12-31)
The authors establish the null controllability for some systems coupled by two backward stochastic heat equations. The desired controllability result is obtained by means of proving a suitable observability estimate for ...
• #### Null controllability of a degenerated reaction-diffusion system in cardiac electro-physiology [Nulle contrôlabilité d'un système dégénéré de réaction-diffusion dans l'électique-physiologie du cœur] ﻿

(2012-12-31)
This Note is devoted to the analysis of the null controllability of a nonlinear reaction-diffusion system, approximating a parabolic-elliptic system, modeling electrical activity in the heart. The uniform, with respect to ...
• #### Null controllability of a system of viscoelasticity with a moving control ﻿

(2014-12-31)
In this paper, we consider the wave equation with both viscous Kelvin-Voigt and frictional damping as a model of viscoelasticity in which we incorporate an internal control with a moving support. We prove the null ...
• #### Null controllability of viscous Hamilton-Jacobi equations ﻿

(2012-12-31)
We study the problem of null controllability for viscous Hamilton-Jacobi equations in bounded domains of the Euclidean space in any space dimension and with controls localized in an arbitrary open nonempty subset of the ...
• #### Numerical approximation of a one-dimensional elliptic optimal design problem ﻿

(2011-12-31)
We address the numerical approximation by finite-element methods of an optimal design problem for a two phase material in one space dimension. This problem, in the continuous setting, due to high frequency oscillations, ...
• #### Numerical approximation of null controls for the heat equation : Ill-posedness and remedies ﻿

(2010-12-31)
The numerical approximation of exact or trajectory controls for the wave equation is known to be a delicate issue, since the pioneering work of Glowinski-Lions in the nineties, because of the anomalous behavior of the ...
• #### Numerical approximation schemes for multi-dimensional wave equations in asymmetric spaces ﻿

(2015-12-31)
We develop finite difference numerical schemes for a model arising in multi-body structures, previously analyzed by H. Koch and E. Zuazua, constituted by two n-dimensional wave equations coupled with a (n - 1)- dimensional ...
• #### Numerical aspects of large-time optimal control of Burgers equation ﻿

(2015-10-13)
In this paper, we discuss the efficiency of various numerical methods for the inverse design of the Burgers equation, both in the viscous and in the inviscid case, in long time-horizons. Roughly, the problem consists in, ...
• #### Numerical dispersive schemes for the nonlinear Schrödinger equation ﻿

(2009-12-31)
We consider semidiscrete approximation schemes for the linear Schrödinger equation and analyze whether the classical dispersive properties of the continuous model hold for these approximations. For the conservative finite ...
• #### Numerical meshes ensuring uniform observability of one-dimensional waves: Construction and analysis ﻿

(2016-01-01)
We build nonuniform numerical meshes for the finite difference and finite element approximations of the one-dimensional wave equation, ensuring that all numerical solutions reach the boundary, as continuous solutions do, ...
• #### Observability estimate for stochastic Schrödinger equations and its applications ﻿

(2013-12-31)
In this paper, we establish a boundary observability estimate for stochastic Schrödinger equations by means of the global Carleman estimate. Our Carleman estimate is based on a new fundamental identity for a stochastic ...