ଜାତୀୟ ବିଜ୍ଞାନ ଶିକ୍ଷା ଏବଂ ଗବେଷଣା ପ୍ରତିଷ୍ଠାନ
ପରମାଣୁ ଶକ୍ତି ବିଭାଗ, ଭାରତ ସରକାରଙ୍କ ଏକ ସ୍ବୟଂଶାସିତ ପ୍ରତିଷ୍ଠାନ

राष्ट्रीय विज्ञान शिक्षा एवं अनुसंधान संस्थान
परमाणु ऊर्जा विभाग, भारत सरकार का एक स्वयंशासित संस्थान

National Institute of Science Education and Research
AN AUTONOMOUS INSTITUTE UNDER DAE, GOVT. OF INDIA

 

Anupam Pal Choudhury

Reader - F
 
 

anupampcmathniser.ac.in
+91-674-2494218

Differential Equations

  • Singular solutions for 2x2 systems in nonconservative form with incomplete set of eigenvectors, Electron. J. Diff. Equ., Vol. 2013 (2013), No. 58, pp. 1-11.
  • Riemann Problem for a limiting system in elastodynamics, Electron. J. Diff. Equ., Vol. 2014 (2014), No. 04, pp. 1-15.
  • Spherically Symmetric Solutions of Multi-dimensional Zero-pressure Gas Dynamics System, Journal of Hyperbolic Differential Equations, Volume 11, Issue 02, June 2014 (Joint work with : K.T.Joseph, Manas R. Sahoo).
  • The mathematical theory of self-similar boundary layers for nonlinear hyperbolic systems with viscosity and capillarity, Bulletin of the Institute of Mathematics Academia Sinica New Series, Volume 10 (2015), Issue 4, 639-693 (Joint work with K.T.Joseph and P.G.Lefloch).
  • Stability estimates for the inverse boundary value problem for the biharmonic operator with bounded potentials, Journal of Mathematical Analysis and Applications, 431 (2015), no. 1, 300-316 (Joint work with Venkateswaran P. Krishnan).
  • Initial-boundary value problems for nearly incompressible vector fields, and applications to the Keyfitz and Kranzer system, Z. Angew. Math. Phys. 68 (2017), no. 6, 68:138. (Joint work with Gianluca Crippa and Laura V. Spinolo).
  • Stability of the inverse boundary value problem for the biharmonic operator: Logarithmic estimates, Journal of Inverse and Ill-posed problems, 25 (2) 2017, 251-263 (Joint work with Horst Heck).
  • Nematic liquid crystals in Lipschitz domains, SIAM J. Math. Anal., 50(4), 4282-4310. (Joint work with Amru Hussein and Patrick Tolksdorf).
  • Increasing stability for the inverse problem for the Schrodinger equation (Joint work with Horst Heck), Mathematical Methods in the Applied Sciences 41, no. 2, 606-614 (2018).
  • Mathematical imaging using electric or magnetic nanoparticles as contrast agents (Joint work with Durga Prasad Challa and Mourad Sini), Inverse problems and Imaging, 2018, 12(3): 573-605.
  • The point-interaction approximation for the fields generated by contrasted bubbles at arbitrary fixed frequencies (Joint work with Habib Ammari, Durga Prasad Challa and Mourad Sini), J. Differential Equations 267 (2019), no. 4, 2104-2191. 
  • The equivalent media generated by bubbles of high contrasts: Volumetric metamaterials and metasurfaces (Joint work with Habib Ammari, Durga Prasad Challa and Mourad Sini), Multiscale Model. Simul. 18 (2020), no. 1, 240-293.
  • High frequency stability estimates for a partial data inverse problem (Joint work with Venkateswaran P. Krishnan), Mathematical Methods in the Applied Sciences 45, no. 3, 1573-1586 (2022).
  • Entropy solutions in BV^{s} for a class of triangular systems involving a transport equation, SIAM J. Math. Anal., 54(1), 791-817. (Joint work with C. Bourdarias, B. Guelmame and S. Junca)

Review articles and articles in proceedings: peer-reviewed

  • Product of distributions and the zero-pressure gas dynamics system, Sao Paulo Journal of Mathematical Sciences, 7 (2013), no. 2, 253-277 (Joint work with K.T.Joseph)                 

Partial differential equations of evolution type, Inverse problems

  • M311 (Numerical Analysis): Even semester, 2019-2020
  • M303 (Differential Equations): Odd semester, 2020-2021