Now showing items 142-161 of 220

• #### On the Blow Up and Condensation of Supercritical Solutions of the Nordheim Equation for Bosons ﻿

(2014-12-31)
In this paper we prove that the solutions of the isotropic, spatially homogeneous Nordheim equation for bosons with bounded initial data blow up in finite time in the L‚àû norm if the values of the energy and particle ...
• #### On the control of Markov jump linear systems with no mode observation: Application to a DC Motor device ﻿

(2013-12-31)
This paper deals with the control problem of discrete-time Markov jump linear systems for the case in which the controller does not have access to the state of the Markov chain. A necessary optimal condition, which is ...
• #### On the convergence of quadratic variation for compound fractional poisson processes ﻿

(2012-12-31)
The relationship between quadratic variation for compound renewal processes and M-Wright functions is discussed. The convergence of quadratic variation is investigated both as a random variable (for given t) and as a ...
• #### On the exact controllability of hyperbolic magnetic Schrödinger equations ﻿

(2014-12-31)
In this paper, we address the exact controllability problem for the hyperbolic magnetic Schr√∂dinger equation, which plays an important role in the research of electromagnetics. Typical techniques, such as Hamiltonian ...
• #### On the existence and asymptotic stability of solutions for unsteady mixing-layer models ﻿

(2014-12-31)
We introduce in this paper some elements for the mathematical analysis of turbulence models for oceanic surface mixing layers. We consider Richardson-number based vertical eddy diffusion models. We prove the existence of ...
• #### On the non-stationarity of financial time series: Impact on optimal portfolio selection ﻿

(2012-12-31)
We investigate the possible drawbacks of employing the standard Pearson estimator to measure correlation coefficients between financial stocks in the presence of non-stationary behavior, and we provide empirical evidence ...
• #### On the numerical solution of the control problem of switched linear systems ﻿

(2013-12-31)
This paper presents a method to compute an epsilon-optimal solution of the control problem of switched linear systems. A difficulty that emerges in the evalution of the optimal solution is that the cardinality of the ...
• #### On the positivity of solutions of systems of stochastic PDEs ﻿

(2013-12-31)
We study the positivity of solutions of a class of semi-linear parabolic systems of stochastic partial differential equations by considering random approximations. For the family of random approximations we derive explicit ...
• #### On the quadratic finite element approximation of one-dimensional waves: Propagation, observation, and control ﻿

(2012-12-31)
We study the propagation, observation, and control properties of the quadratic P 2-classical finite element semidiscretization of the one-dimensional wave equation on a bounded interval. A careful Fourier analysis of the ...
• #### On the regularity of null-controls of the linear 1-d heat equation [Sur la regularité des contrôles pour l'équation de la chaleur linéaire] ﻿

(2011-12-31)
The 1-d heat equation in a bounded interval is null-controllable from the boundary. More precisely, for each initial data y0εL2(0,1) there corresponds a unique boundary control of minimal L2(0,T)-norm which drives the state ...
• #### On the response of autonomous sweeping processes to periodic perturbations ﻿

(2016-12-01)
If $x_0$ is an equilibrium of an autonomous differential equation $\dot x=f(x)$ and $\det \|f'(x_0)\|\not=0$, then $x_0$ persists under autonomous perturbations and $x_0$ transforms into a $T$-periodic solution under ...
• #### 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 ...