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Now showing items 1-10 of 30

#### 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 ...

#### 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 ...

#### 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 ...

#### Approximating travelling waves by equilibria of non-local equations

(2012-12-31)

We consider an evolution equation of parabolic type in R having a travelling wave solution. We study the effects on the dynamics of an appropriate change of variables which transforms the equation into a non-local evolution ...

#### Nonlinear weakly curved rod by Γ-Convergence

(2012-12-31)

We present a nonlinear model of weakly curved rod, namely the type of curved rod where the curvature is of the order of the diameter of the cross-section. We use an approach analogous to the one for rods and curved rods ...

#### Regularity of solutions to a model for solid-solid phase transitions driven by configurational forces

(2012-12-31)

In a previous work, we prove the existence of weak solutions to an initial-boundary value problem, with H 1(Ω) initial data, for a system of partial differential equations, which consists of the equations of linear elasticity ...

#### Carleman estimate for stochastic parabolic equations and inverse stochastic parabolic problems

(2012-12-31)

In this paper, we establish a global Carleman estimate for stochastic parabolic equations. Based on this estimate, we study two inverse problems for stochastic parabolic equations. One is concerned with a determination ...

#### A result concerning the global approximate controllability of the Navier-Stokes system in dimension 3

(2012-12-31)

In this paper we deal with the three-dimensional Navier-Stokes system, posed in a cube. In this context, we prove a result concerning its global approximate controllability by means of boundary controls which act in some ...

#### Null controllability of viscous Hamilton-Jacobi equations

(2012-12-31)

We study the problem of null controllability for viscous Hamilton-Jacobi equations in bounded domains of the Euclidean space in any space dimension and with controls localized in an arbitrary open nonempty subset of the ...