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Bounds on the volume fractions of two materials in a three dimensional body from boundary measurements by the translation method
inverse problems size estimation electrical impedance tomography
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2012/6/19
Using the translation method of Tartar, Murat, Lurie, and Cherkaev bounds are derived on the volume occupied by an inclusion in a three-dimensional conducting body. They assume electrical impedance to...
On the inviscid limit of the system "viscous incompressible fluid + rigid body" with the Navier conditions
inviscid limit of the system viscous incompressible fluid Navier conditions Analysis of PDEs
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2012/6/6
In this paper we consider the inviscid limit for the system "viscous incompressible fluid + rigid body" in $\R^{3}$ when some Navier slip conditions are prescribed on the body's boundary. We prove the...
On the motion of a rigid body in a two-dimensional irregular ideal flow
two-dimensional irregular ideal flow motion Analysis of PDEs rigid body
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2011/8/24
Abstract: We consider the motion of a rigid body immersed in an ideal flow occupying the plane, with bounded initial vorticity. In that case there exists a unique corresponding solution which is globa...
Geometric methods for nonlinear many-body quantum systems
Geometric methods nonlinear many-body quantum systems
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2010/12/6
Geometric techniques have played an important role in the seventies, for the study of the spectrum of many-body Schr¨odinger operators. In this paper we provide a formalism which also allows to study ...