Browsing Past Topics (PT) by Title
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Quasiconvex envelopes of energies for nematic elastomers in the small strain regime and applications
(20111231)We provide some explicit formulas for the quasiconvex envelope of energy densities for nematic elastomers in the small strain regime and plane strain conditions. We then demonstrate their use as a powerful tool for the ... 
Random numbers from the tails of probability distributions using the transformation method
(20131231)The speed of many oneline transformation methods for the production of, for example, Lévy alphastable random numbers, which generalize Gaussian ones, and MittagLeffler random numbers, which generalize exponential ones, ... 
Recovery of an initial temperature from discrete sampling
(20141231)The problem of recovering the initial temperature of a body from discrete temperature measurements made at later times is studied. While this problem has a general formulation, the results of this paper are only given in ... 
Regularity issues for the nullcontrollability of the linear 1d heat equation
(20111231)The fact that the heat equation is controllable to zero in any bounded domain of the Euclidean space, any time T>0 and from any open subset of the boundary is well known. On the other hand, numerical experiments show ... 
Regularity of solutions to a model for solidsolid phase transitions driven by configurational forces
(20121231)In a previous work, we prove the existence of weak solutions to an initialboundary value problem, with H 1(Ω) initial data, for a system of partial differential equations, which consists of the equations of linear elasticity ... 
Robust grid adaptation for efficient uncertainty quantification
(20121231)In the recent past, adjoint methods have been successfully applied in error estimation of integral outputs (functionals) of the numerical solution of partial differential equations. The adjoint solution can also be used ... 
Robust null controllability for heat equations with unknown switching control mode
(20141231)We analyze the null controllability for heat equations in the presence of switching controls. The switching pattern is a priori unknown so that the control has to be designed in a robust manner, based only on the past ... 
Robust ‚H2 static output feedback to control an automotive throttle valve
(20141231)The paper presents a control strategy for an automotive electronic throttle body, a device largely used into vehicles to increase the efficiency of the combustion engines. The synthesis of the proposed controller is based ... 
Schrödinger operators with boundary singularities: Hardy inequality, Pohozaev identity and controllability results
(20121231)The aim of this paper is two folded. Firstly, we study the validity of a Pohozaevtype identity for the Schrödinger operator A λ:=δλ/x 2, λ∈R, in the situation where the origin is located on the boundary of a smooth ... 
Second moment constraints and the control problem of Markov jump linear systems
(20131231)This paper addresses the optimal solution for the regulator control problem of Markov jump linear systems subject to second moment constraints. We can characterize and obtain the solution explicitly using linear matrix ... 
A semidiscrete largetime behavior preserving scheme for the augmented Burgers equation
(20170601)In this paper we analyze the largetime behavior of the augmented Burgers equation. We first study the wellposedness of the Cauchy problem and obtain $L^1L^p$ decay rates. The asymptotic behavior of the solution is ... 
Semimarkov graph dynamics
(20111231)In this paper, we outline a model of graph (or network) dynamics based on two ingredients. The first ingredient is a Markov chain on the space of possible graphs. The second ingredient is a semiMarkov counting process of ... 
Sensitivity analysis of 1d steady forced scalar conservation laws
(20131231)We analyze 1  d forced steady state scalar conservation laws. We first show the existence and uniqueness of entropy solutions as limits as t→ ∞ of the corresponding solutions of the scalar evolutionary hyperbolic conservation ... 
Shallowshell models by Γconvergence
(20121231)In this paper we derive, by means of Γconvergence, the shallowshell models starting from nonlinear threedimensional elasticity. We use the approach analogous to the one for shells and plates. We start from the minimization ... 
Sharp Observability Estimates for Heat Equations
(20111231)The goal of this article is to derive new estimates for the cost of observability of heat equations. We have developed a new method allowing one to show that when the corresponding wave equation is observable, the heat ... 
Solutions to a model with Neumann boundary conditions for phase transitions driven by configurational forces
(20111231)We study an initial boundary value problem of a model describing the evolution in time of diffusive phase interfaces in solid materials, in which martensitic phase transformations driven by configurational forces take ... 
Solvability via viscosity solutions for a model of phase transitions driven by configurational forces
(20111231)This article is concerned with an initialboundary value problem for an ellipticparabolic coupled system arising in martensitic phase transition theory of elastically deformable solid materials, e.g., steel. This model ... 
Some controllability results for the 2D Kolmogorov equation
(20091231)In this article, we prove the null controllability of the 2D Kolmogorov equation both in the whole space and in the square. The control is a source term in the righthand side of the equation, located on a subdomain, that ... 
Sparse initial data identification for parabolic PDE and its finite element approximations
(20151231)We address the problem of inverse source identication for parabolic equations from the optimal control viewpoint employing measures of minimal norm as initial data. We adopt the point of view of approximate controllability ... 
Spherically symmetric solutions to a model for phase transitions driven by configurational forces
(20111231)We prove the globalintime existence of spherically symmetric solutions to an initialboundary value problem for a system of partial differential equations, which consists of the equations of linear elasticity and a ...