## Search

Now showing items 1-10 of 47

#### Internal control for non-local Schrodinger and wave equations involving the fractional Laplace operator

(, 2014-12-31)

We analyse the interior controllability problem for a non-local Schr\"odinger equation involving the fractional Laplace operator $(-\Delta)^s$, $s\in(0,1)$, on a bounded $C^{1,1}$ domain $\Omega\subset\mathbb{R}^n$. The ...

#### Global exact controllability in infinite time of Schrodinger equation: multidimensional case

(2014-12-31)

In this paper, we study the problem of controllability of Schrödinger equation. We prove that the system is exactly controllable in infinite time to any po- sition. The proof is based on an inverse mapping theorem for ...

#### Derivation of a homogenized von-Kármán shell theory from 3D elasticity

(2014-12-31)

We derive homogenized von Kármán shell theories starting from three dimensional nonlinear elasticity. The original three dimensional model contains two small parameters: the period of oscillation $\epsilon$ of the material ...

#### Derivation of a homogenized nonlinear plate theory from 3d elasticity

(2014-12-31)

We derive, via simultaneous homogenization and dimension reduction, the (Formula presented.)-limit for thin elastic plates whose energy density oscillates on a scale that is either comparable to, or much smaller than, the ...

#### 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 ...

#### Almost periodic parameters for the second moment stability of linear stochastic systems

(2014-12-31)

The technical note presents conditions to assure the uniform second moment stability for a class of linear time-varying stochastic systems. The system parameters are assumed to be almost periodic, a concept that is weaker ...

#### 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 ...

#### 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 ...

#### Controllability of fast diffusion coupled parabolic systems

(2014-12-31)

In this work we are concerned with the null controllability of coupled parabolic systems depending on a parameter and converging to a parabolic-elliptic system. We show the uniform null controllability of the family of ...

#### Symmetric discontinuous Galerkin approximations of waves: high frequency propagation and control

(2014-12-31)

This work describes the propagation properties of the so-called symmetric interior penalty discontinuous Galerkin (SIPG) approximations of the 1-d wave equation. This is done by means of linear approximations on uniform ...