Now showing items 166-185 of 220

• #### Parabolic H-measures ﻿

(2013-12-31)
Classical H-measures introduced by Tartar (1990) and independently by Gérard (1991) are not well suited for the study of parabolic equations. Recently, several parabolic variants have been proposed, together with a number ...
• #### Parallel Schwarz wave form relaxation algorithm for an n-dimensional semilinear heat equation ﻿

(2014-12-31)
We present in this paper a proof of well-posedness and convergence for the parallel Schwarz Waveform Relaxation Algorithm adapted to an N-dimensional semilinear heat equation. Since the equation we study is an evolution ...
• #### Parallelizing the Kolmogorov-Fokker-Planck Equation ﻿

(2015-12-31)
We design two parallel schemes, based on Schwarz Waveform Relaxation (SWR) procedures, for the numerical solution of the Kolmogorov equation. The latter is a simplified version of the Fokker-Planck equation describing the ...
• #### Propagation of 1D Waves in Regular Discrete Heterogeneous Media: A Wigner Measure Approach ﻿

(2014-12-31)
In this article, we describe the propagation properties of the one-dimensional wave and transport equations with variable coefficients semi-discretized in space by finite difference schemes on non-uniform meshes obtained ...
• #### Propagation of chaos in a coagulation model ﻿

(2013-12-31)
The dynamics of a finite system of coalescing particles in a finite volume is considered. It is shown that, in the thermodynamic limit, a coagulation equation is recovered and propagation of chaos holds for all time.
• #### Pullback exponential attractors for evolution processes in Banach spaces: Properties and applications ﻿

(2014-12-31)
This article is a continuation of our previous work [5], where we formulated general existence theorems for pullback exponential attractors for asymptotically compact evolution processes in Banach spaces and discussed its ...
• #### Pullback exponential attractors for evolution processes in banach spaces: Theoretical results ﻿

(2013-12-31)
We construct exponential pullback attractors for time continuous asymptotically compact evolution processes in Banach spaces and derive estimates on the fractal dimension of the attractors. We also discuss the corresponding ...
• #### Quasiconvex envelopes of energies for nematic elastomers in the small strain regime and applications ﻿

(2011-12-31)
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 ﻿

(2013-12-31)
The speed of many one-line transformation methods for the production of, for example, Lévy alpha-stable random numbers, which generalize Gaussian ones, and Mittag-Leffler random numbers, which generalize exponential ones, ...
• #### Recovery of an initial temperature from discrete sampling ﻿

(2014-12-31)
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 null-controllability of the linear 1-d heat equation ﻿

(2011-12-31)
The fact that the heat equation is controllable to zero in any bounded domain of the Euclidean space, any time T&gt;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 solid-solid phase transitions driven by configurational forces ﻿

(2012-12-31)
In a previous work, we prove the existence of weak solutions to an initial-boundary 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 ﻿

(2012-12-31)
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 ﻿

(2014-12-31)
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 ‚H-2 static output feedback to control an automotive throttle valve ﻿

(2014-12-31)
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 ﻿

(2012-12-31)
The aim of this paper is two folded. Firstly, we study the validity of a Pohozaev-type identity for the Schrödinger operator A λ:=-δ-λ/|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 ﻿

(2013-12-31)
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 semi-discrete large-time behavior preserving scheme for the augmented Burgers equation ﻿

(2017-06-01)
In this paper we analyze the large-time behavior of the augmented Burgers equation. We first study the well-posedness of the Cauchy problem and obtain $L^1-L^p$ decay rates. The asymptotic behavior of the solution is ...
• #### Semi-markov graph dynamics ﻿

(2011-12-31)
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 semi-Markov counting process of ...
• #### Sensitivity analysis of 1-d steady forced scalar conservation laws ﻿

(2013-12-31)
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 ...