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#### 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 ...

#### Local Exact Controllability for the One-Dimensional Compressible Navier-Stokes Equation

(2012-12-31)

In this paper we deal with the isentropic (compressible) Navier-Stokes equation in one space dimension and we adress the problem of the boundary controllability for this system. We prove that we can drive initial conditions ...

#### L ∞ variational problems for maps and the Aronsson PDE system

(2012-12-31)

By employing Aronsson's absolute minimizers of L ∞ functionals, we prove that absolutely minimizing maps u:Rn→RN solve a "tangential" Aronsson PDE system. By following Sheffield and Smart (2012) [24], we derive δ ∞ with ...

#### Continuous adjoint approach for the spalart-allmaras model in aerodynamic optimization

(2012-12-31)

In this paper, the continuous adjoint method to compute shape sensitivities in aerodynamic design with turbulence modeling is described and developed. The focus is on compressible flows described by the Reynolds-averaged ...

#### Inverse problem for the heat equation and the Schrödinger equation on a tree

(2012-12-31)

In this paper, we establish global Carleman estimates for the heat and Schrödinger equations on a network. The heat equation is considered on a general tree and the Schrödinger equation on a star-shaped tree. The Carleman ...

#### Shallow-shell models by Γ-convergence

(2012-12-31)

In this paper we derive, by means of Γ-convergence, the shallow-shell models starting from non-linear three-dimensional elasticity. We use the approach analogous to the one for shells and plates. We start from the minimization ...

#### The near-extreme density of intraday log-returns

(2012-12-31)

The extreme event statistics plays a very important role in the theory and practice of time series analysis. The reassembly of classical theoretical results is often undermined by non-stationarity and dependence between ...

#### Non-reflecting boundary condition on ellipsoidal boundary

(2012-12-31)

The modeling of wave propagation problems using finite element methods usually requires the truncation of the computation domain around the scatterer of interest. Absorbing boundary conditions are classically considered ...

#### Existence of a global weak solution to Compressible Primitive Equations

(2012-12-31)

In this Note, we show a global weak existence result for a two dimensional Compressible Primitive Equations for atmosphere dynamics modeling.

#### The wave equation: Control and numerics

(2012-12-31)

In these Notes we make a self-contained presentation of the theory that has been developed recently for the numerical analysis of the controllability properties of wave propagation phenomena and, in particular, for the ...