24 citations · 97 across the 11 of their papers we have counts for
11 papers
Entropy solutions in for a class of triangular systems involving a transport equation
Christian Bourdarias, Anupam Pal Choudhury, Billel Guelmame +1
In this article, we consider a class of strictly hyperbolic triangular systems involving a transport equation. Such systems are known to create measure solutions for the initial va…
High frequency stability estimates for a partial data inverse problem
Anupam Pal Choudhury, Venkateswaran P. Krishnan
In this article, high frequency stability estimates for the determination of the potential in the Schrödinger equation are studied when the boundary measurements are made on slight…
The equivalent media generated by bubbles of high contrasts: Volumetric metamaterials and metasurfaces
Habib Ammari, Durga Prasad Challa, Anupam Pal Choudhury +1
We deal with the point-interaction approximations for the acoustic wave fields generated by a cluster of highly contrasted bubbles for a wide range of densities and bulk moduli con…
The point-interaction approximation for the fields generated by contrasted bubbles at arbitrary fixed frequencies
Habib Ammari, Durga Prasad Challa, Anupam Pal Choudhury +1
We deal with the linearized model of the acoustic wave propagation generated by small bubbles in the harmonic regime. We estimate the waves generated by a cluster of small bubb…
Nematic Liquid Crystals in Lipschitz domains
Anupam Pal Choudhury, Amru Hussein, Patrick Tolksdorf
We consider the simplified Ericksen-Leslie model in three dimensional bounded Lipschitz domains. Applying a semilinear approach, we prove local and global well-posedness (assuming…
Mathematical imaging using electric or magnetic nanoparticles as contrast agents
Durga Prasad Challa, Anupam Pal Choudhury, Mourad Sini
We analyse mathematically the imaging modality using electromagnetic nanoparticles as contrast agent. This method uses the electromagnetic fields, collected before and after inject…
Initial-boundary value problems for nearly incompressible vector fields, and applications to the Keyfitz and Kranzer system
Anupam Pal Choudhury, Gianluca Crippa, Laura V. Spinolo
We establish existence and uniqueness results for initial boundary value problems with nearly incompressible vector fields. We then apply our results to establish well-posedness of…
Stability estimates for the inverse boundary value problem for the biharmonic operator with bounded potentials
Anupam Pal Choudhury, Venkateswaran P. Krishnan
In this article, stability estimates are given for the determination of the zeroth-order bounded perturbations of the biharmonic operator when the boundary Neumann measurements are…
Riemann Problem for a limiting system in elastodynamics
Anupam Pal Choudhury
In this article, we discuss about the resolution of the Riemann problem for a 2x2 system in nonconservative form exhibiting parabolic degeneracy. The system can be perceived as the…
Spherically Symmetric Solutions of Multi-dimensional Zero-pressure Gas Dynamics System
Anupam Pal Choudhury, K. T. Joseph, Manas R. Sahoo
In this article we find explicit formulae for spherically symmetric solutions of the multidimensional zero-pressure gas dynamics system and its adhesion approximation. The asymptot…
Singular solutions for a 2X2 system in nonconservative form with incomplete set of eigenvectors
Anupam Pal Choudhury
In this paper, we study the initial-value problem for two first order systems in non-conservative form. The first system arises in elastodynamics and belongs to the class of strict…