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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 ...