Zobrazeno 1 - 10
of 16
pro vyhledávání: '"Anupam Pal Choudhury"'
Autor:
Anupam Pal Choudhury
Publikováno v:
Electronic Journal of Differential Equations, Vol 2014, Iss 04,, Pp 1-15 (2014)
This article concerns the resolution of the Riemann problem for a 2x2 system in nonconservative form exhibiting parabolic degeneracy. The system can be perceived as the limiting equation (depending on a parameter tending to 0) of a 2x2 strictly hy
Externí odkaz:
https://doaj.org/article/0dd0d0096ebd4e02b813f692787a1d78
Autor:
Anupam Pal Choudhury
Publikováno v:
Electronic Journal of Differential Equations, Vol 2013, Iss 58,, Pp 1-11 (2013)
In this article, 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 strictly hyperbolic, genuinely nonlinear systems. The second system has re
Externí odkaz:
https://doaj.org/article/b5e2d4980e404fed8c48ab7c9bc92a93
Publikováno v:
Multiscale Modeling & Simulation. 18:240-293
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 contrasts. We derive the equivalent fields when the cluster of bubbles is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cf7c6047723afb609347564d78e89d96
https://doi.org/10.1137/19m1237259
https://doi.org/10.1137/19m1237259
Autor:
Anupam Pal Choudhury, Horst Heck
In this article, we establish logarithmic stability estimates for the determination of the perturbation of the biharmonic operator from partial data measurements when the inaccessible part of the domain is flat and homogeneous boundary conditions are
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8a3977a4eaa5323af73f66472fb422ca
http://doc.rero.ch/record/331213/files/jiip-2016-0019.pdf
http://doc.rero.ch/record/331213/files/jiip-2016-0019.pdf
Publikováno v:
SIAM Journal on Mathematical Analysis
SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2021
SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, In press
SIAM Journal on Mathematical Analysis, 2022, 54 (1), pp.791-817. ⟨10.1137/20M1351783⟩
SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2021
SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, In press
SIAM Journal on Mathematical Analysis, 2022, 54 (1), pp.791-817. ⟨10.1137/20M1351783⟩
Strictly hyperbolic triangular systems with a decoupled nonlinear conservation law and a coupled ``linear'' transport equation with a discontinuous velocity are known to create measure solutions for the initial value problem. Adding a uniform strictl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::97d2776a5c531851c6552ee3ef929cb5
https://hal.archives-ouvertes.fr/hal-02895603v3/file/Triangular-BVs-HAL.pdf
https://hal.archives-ouvertes.fr/hal-02895603v3/file/Triangular-BVs-HAL.pdf
In this article, high frequency stability estimates for the determination of the potential in the Schr\"odinger equation are studied when the boundary measurements are made on slightly more than half the boundary. The estimates reflect the increasing
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::205d4e292b6ca1d79f4751f392b40c4b
Publikováno v:
SIAM Journal on Mathematical Analysis. 50:4282-4310
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 a smallness condition on the initial data) in critical spaces for ini
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a757f48b9ce85f1ff05c8529ad40af1d
https://doi.org/10.1137/17m1160975
https://doi.org/10.1137/17m1160975
Publikováno v:
Inverse Problems & Imaging. 12:573-605
We analyse mathematically the imaging modality using electromagnetic nanoparticles as contrast agent. This method uses the electromagnetic fields, collected before and after injecting electromagnetic nanoparticles, to reconstruct the electrical permi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5cd2b8ab82b75bf79e9832550c1ca5df
https://doi.org/10.3934/ipi.2018025
https://doi.org/10.3934/ipi.2018025
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 M small bubbles, distributed in a bounded domain Ω, with relative densities having
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::673c9c0ee8b0d51e16adee2ebcab3080
Publikováno v:
Zeitschrift für Angewandte Mathematik und Physik 68 (2017): art. 138. doi:10.1007/s00033-017-0883-8
info:cnr-pdr/source/autori:A.P. Choudhury, G. Crippa, and L.V. Spinolo/titolo:Initial-boundary value problems for nearly incompressible vector fields, and applications to the Keyfitz and Kranzer system/doi:10.1007%2Fs00033-017-0883-8/rivista:Zeitschrift für Angewandte Mathematik und Physik/anno:2017/pagina_da:art. 138/pagina_a:/intervallo_pagine:art. 138/volume:68
info:cnr-pdr/source/autori:A.P. Choudhury, G. Crippa, and L.V. Spinolo/titolo:Initial-boundary value problems for nearly incompressible vector fields, and applications to the Keyfitz and Kranzer system/doi:10.1007%2Fs00033-017-0883-8/rivista:Zeitschrift für Angewandte Mathematik und Physik/anno:2017/pagina_da:art. 138/pagina_a:/intervallo_pagine:art. 138/volume:68
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 the initial-boundary value problem for the Keyfitz and Kranzer system
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8d92b38da9954ade48fcfb02ace22e39
https://doi.org/10.1007/s00033-017-0883-8
https://doi.org/10.1007/s00033-017-0883-8