Now showing items 153-172 of 220

• #### On the Structure of $\infty$-Harmonic Maps ﻿

(2014-12-31)
Let H ‚àà C 2(‚ÑùN√ón), H ‚â• 0. The PDE system (Formula presented.) arises as the Euler-Lagrange PDE of vectorial variational problems for the functional E ‚àû(u, Œ©) = {norm of matrix}H(Du){norm of matrix}L ‚àû(Œ©) defined ...
• #### On the well-posedness of mathematical models for multicomponent biofilms ﻿

(2015-12-31)
Bacterial biofilms are microbial depositions on immersed surfaces. Their mathematical description leads to degenerate diffusion-reaction equations with two non-Fickian effects: (i) a porous medium equation like degeneracy ...
• #### Optimal control and vanishing viscosity for the burgers equation ﻿

(2010-12-31)
[No abstract available]
• #### Optimal location of controllers for the one-dimensional wave equation ﻿

(2013-12-31)
In this paper, we consider the homogeneous one-dimensional wave equation defined on (0,π). For every subset ωâŠ[0,π] of positive measure, every T≥2π, and all initial data, there exists a unique control of minimal norm in ...
• #### Optimal Observation of the One-dimensional Wave Equation ﻿

(2013-12-31)
In this paper, we consider the homogeneous one-dimensional wave equation on [0,π] with Dirichlet boundary conditions, and observe its solutions on a subset ω of [0,π]. Let L∈(0,1). We investigate the problem of maximizing ...
• #### Optimal sensor location for wave and Schrödinger equations ﻿

(2014-12-31)
This paper summarizes the research we have carried out recently on the problem of the optimal location of sensors and actuators for wave equa- tions, which has been the object of the talk of the third author at the Hyp2012 ...
• #### Optimal Shape and Location of Sensors for Parabolic Equations with Random Initial Data ﻿

(2015-12-31)
In this article, we consider parabolic equations on a bounded open connected subset Rn. We model and investigate the problem of optimal shape and location of the observation domain having a prescribed measure. This problem ...
• #### Optimal shape and location of sensors or actuators in PDE models ﻿

(2014-12-31)
We investigate the problem of optimizing the shape and location of sensors and actuators for evolution systems driven by distributed parameter systems or partial differential equations (PDE). We consider wave, Schr√∂dinger ...
• #### Optimal strategies for driving a mobile agent in a "guidance by repulsion" model ﻿

(2016-01-01)
We present a guidance by repulsion model based on a driver-evader interaction where the driver, assumed to be faster than the evader, follows the evader but cannot be arbitrarily close to it, and the evader tries to move ...
• #### Optimizing a basket against the efficient market hypothesis ﻿

(2013-12-31)
[No abstract available]
• #### Output feedback of Markov jump linear systems with no mode observation: An automotive throttle application ﻿

(2016-01-01)
Summary The note presents an output feedback control strategy for Markov jump linear systems with no mode observation. Based on minimizing a finite-time quadratic cost, we derive an algorithm that generates output feedback ...
• #### Overlapping Domain Decomposition: Convergence Proofs ﻿

(2013-12-31)
[No abstract available]
• #### Overlapping optimized schwarz methods for parabolic equations in n dimensions ﻿

(2013-12-31)
We introduce in this paper a new tool to prove the convergence of the overlapping optimized Schwarz methods with multisubdomains. The technique is based on some estimates of the errors on the boundaries of the overlapping ...
• #### 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 ...