2 citations · 2 across the 6 of their papers we have counts for
7 papers
Bloch Wave Homogenization Relative to a Microstructure
Tuhin Ghosh, Muthusamy Vanninathan
In this work, we study the aspect of Bloch wave homogenization of the new notion of convergence of microstructures represented by matrices related to the classical -conver…
Bloch wave spectral analysis in the class of generalized Hashin-Shtrikman micro-structures
Loredana Bălilescu, Carlos Conca, Tuhin Ghosh +2
In this paper, we use spectral methods by introducing the Bloch waves to study the homogenization process in the non-periodic class of generalized Hashin-Shtrikman micro-structures…
Homogenization of Stokes System using Bloch Waves
Grégoire Allaire, Tuhin Ghosh, Muthusamy Vanninathan
In this work, we study the Bloch wave homogenization for the Stokes system with periodic viscosity coefficient. In particular, we obtain the spectral interpretation of the homogeni…
Convergence Relative to a Microstructure : Properties, Optimal Bounds and Application
Tuhin Ghosh, M. Vanninathan
In this work, we study a new notion involving convergence of microstructures represented by matrices related to the classical -convergence of . It incorporates the in…
Feedback stabilization of a simplified model of fluid-structure interaction on a tree
Kaïs Ammari, Farhat Shel, Muthusamy Vanninathan
In this paper we study the dynamic feedback stability for a simplified model of fluid-structure interaction on a tree. We prove that, under some conditions, the energy of the solut…
First Bloch eigenvalue in high contrast media
Marc Briane, Muthusamy Vanninathan
This paper deals with the asymptotic behavior of the first Bloch eigenvalue in a heterogeneous medium with a high contrast $\ep Y$-periodic conductivity. When the conductivity is b…
Homogenization of the Schrodinger equation with a time oscillating potential
Gregoire Allaire, M. Vanninathan
We study the homogenization of a Schrodinger equation in a periodic medium with a time dependent potential. This is a model for semiconductors excited by an external electromagneti…