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Now showing items 1-10 of 223

#### A splitting method for the augmented Burgers equation

(BIT Numerical Mathematics, 2017-07-01)

In this paper we consider a splitting method for the augmented Burgers equation and prove that it is of ﬁrst order. We also analyze the large-time behavior of the approximated solution by obtaining the ﬁrst term in the ...

#### A semi-discrete large-time behavior preserving scheme for the augmented Burgers equation

(ESAIM: Mathematical Modelling and Numerical Analysis, 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 ...

#### On the response of autonomous sweeping processes to periodic perturbations

(Set-Valued and Variational Analysis, 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 ...

#### A direct algorithm in some free boundary problems

(Journal of Numerical Mathematics, 2016-06-28)

In this paper we propose a new algorithm for the well known elliptic obstacle problem and for parabolic variational inequalities like one and two phase Stefan problem and of obstacle type. Our approach enters the category ...

#### Output feedback of Markov jump linear systems with no mode observation: An automotive throttle application

(International Journal of Robust and Nonlinear Control, 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 ...

#### Time asymptotics for a critical case in fragmentation and growth-fragmentation equations

(Kinetic and Related Models, 2016-01-01)

Fragmentation and growth-fragmentation equations is a family of problems with varied and wide applications. This paper is devoted to the description of the long-time asymptotics of two critical cases of these equations, ...

#### Hardy type inequalities for $\Delta_{\lambda}$-Laplacians

(Complex Variables and Elliptic Equations, 2016-01-01)

We derive Hardy-type inequalities for a large class of sub-elliptic operators that belong to the class of $\Delta_{\lambda}$-Laplacians and find explicit values for the constants involved. Our results generalize previous ...

#### Control of 2D scalar conservation laws in the presence of shocks

(Mathematics of Computation, 2016-01-01)

We analyze a model optimal control problem for a 2D scalar conservation law-the so-called inverse design problem-with the goal being to identify the initial datum leading to a given final time configuration. The presence ...

#### Optimal strategies for driving a mobile agent in a "guidance by repulsion" model

(Communications in Nonlinear Science and Numerical Simulation, 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 ...

#### Null controllability for a heat equation with a singular inverse-square potential involving the distance to the boundary function

(Journal of Differential Equations, 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 ...