Debarjoyti Choudhuri

Assistant Professor Grade-I

Mathematics

 (+91) 661 246 2712 , 3712

 choudhurid[at]nitrkl.ac.in

 Biosketch

16

Publications       

2

Sponsored Projects

0

Consultancy Projects

4

Doctoral Students

0

Short-term Course

14

PG Dissertation

 Personal Information

Prof. Debarjoyti Choudhuri

Assistant Professor Grade-I

Mathematics

Joined in Mar 2014

 Room Number: MN-329

 Department of Mathematics, National Institute of Technology Rourkela, Sundargarh, Odisha, India - 769008

 Education Qualification

  1. P.hD. (University of Hyderabad)

 Experience

No Experience Found....

 Expertise Information

Research Group
Analysis, Algebra and Topology Group
Areas of Interest
Applied Functional analysis, elliptic PDEs - I mainly use variational techniques and methods in functional analysis to guarantee the existence of solutions.

 Projects

Problems on elliptic PDEs involving singularities of various types with a measure data.

 SERB

 Principal Investigator

 36 months

 Running

Sponsored

A detailed study of the convention-diffusion-reaction and the Stokes equations applied to the study of Protein dynamics inside a cell.

 CSIR

 Principal Investigator

 36 months

 Running

Sponsored

 Continuing Education

No Continuing Educations Found....

 Publications

3

Google Scholar h-index

1

Google Scholar i10-index

3

Scopus h-index

Total Publications: 16
S. Ghosh, A. Panda, and D. Choudhuri, "Multiplicity of solutions to an elliptic problem with singularity and measure data", Electronic Journal of Differential Equations, no.60, pp.1-21, Department of Mathematics, Texas State University, April 2019 Article
M. Gallagher, D. Choudhuri, and D. J. Smith, "Sharp quadrature er- ror bounds for the nearest-neighbour discretization of the regularized Stokeslet boundary integral equation", SIAM journal of Scientific Computing, vol.41, no.1, pp.b139--b152, SIAM, February 2019, 10.1137/18M1191816 Article
A. Panda, S. Ghosh, and D. Choudhuri, "Elliptic partial differential equation involving a singularity and a radon measure", Journal of the Indian Mathematical Society, vol.86, no.1-2, pp.95-117, Indian Mathematical Society 2019, 10.18311/jims/2019/20912 Article
S. Ghosh and D. Choudhuri, "Existence of infinitely many solutions for a nonlocal elliptic PDE involving singularity", Positivity, Springer 2019, 10.1007/s11117-019-00690-4 Article
A. Soni and D. Choudhuri, "Existence of multiple solutions to an elliptic problem with measure data", Journal of Elliptic and Parabolic Equations, vol.4, no.2, pp.369–388, Springer, December 2018, 10.1007/s41808-018-0024-3 Article

Show All Publications(+)

S. Ghosh, D. Choudhuri, and R. K. Giri, "Singular nonlocal problem involving measure data", Bulletin of Brazillian Mathematical Society, pp.1-23, Springer, July 2018, 10.1007/s00574-018-0100-1 Article
R. K. Giri, D. Choudhuri, and A. Soni, "A problem involving a nonlocal operator", Fractional Differential Calculus, vol.8, no.1, pp.177-190, Ele-math 2018, 10.7153/fdc-2018-08-11 Article
D. Choudhuri, "A novel application of the classical banach fixed point theorem", International Journal of Applied and Computational Mathematics, vol.3, no.3, pp.1799-1808, Springer, September 2017, 10.1007/s40819-016-0194-3 Article
R. K. Giri, D. Choudhuri, and S. Pradhan, "Existence and Concentration of solutions for a class of elliptic PDEs involving p-biharmonic operator", Mathematicki Vesnik, January 2017 Article
R. K. Giri and D. Choudhuri, "A problem involving the p-Laplacian operator", Differential Equations & Applications, vol.9, no.2, pp.171–181, Ele-math 2017, 10.7153/dea-09-14 Article
R. K. Giri and D. Choudhuri, "Composition operators in orlicz–sobolev spaces", Journal of Advanced Studies in Mathematics, vol.10, no.3, Fair Partners Society for the Promotion of Science, January 2016 Article
D. Choudhuri and A. Soni, "Existence of multiple solutions to a Partial differential equation involving the fractional p-Laplacian by Journal of Analysis", Journal of Analysis, vol.23, pp.33-46, January 2015 Article
D. Choudhuri and B. S. Padmavati, "A study of an arbitrary stokes flow in and around a liquid sphere", Applied Mathematics and computations, vol.243, pp.644-656, Elsevier, September 2014, 10.1016/j.amc.2014.05.069 Article
D. Choudhuri and G., "Thermocapillary drift on a spherical drop in a viscous fluid", Physics of Fluids, vol.25, no.4, American Institute of Physics, March 2013, 10.1063/1.4799121 Article
D. Choudhuri, R. Radha, and B. S. Padmavati, "Stokes flow past an arbitrary shaped body with slip-stick boundary conditions", Applied Mathematics and computations, vol.219, no.10, pp.5367-5375, Elsevier, January 2013 Article
D. Choudhuri and B. S. Padmavati, "A study of an arbitrary stokes flow past a coated sphere in a fluid of a different viscosity", Zeitschrift für angewandte Mathematik und Physik, vol.61, no.2, pp.317-328, Springer, April 2010, 10.1007/s00033-009-0056-5 Article

 Courses Taught

  • MA1001 : Mathematics - I {Theory}
  • MA1002 : Mathematics - II {Theory}
  • MA101 : Mathematics - I {Theory}
  • MA102 : Mathematics – II {Theory}
  • MA202 : Mathematics – IV {Theory}
  • MA3103 : Introduction to Real Analysis and Metric Spaces {Theory}
  • MA311 : Linear Algebra {Theory}
  • MA401 : Real Analysis {Theory}
  • MA402 : Measure Theory {Theory}
  • MA404 : Complex Analysis {Theory}
  • MA4101 : Real Analysis: Series of Functions and Calculus of Several Variables {Theory}
  • MA501 : Functional Analysis {Theory}
  • MA546 : Differentiable Manifolds {Theory}
  • MA611 : Analysis {Theory}
  • MA613 : Functional Analysis with Applications {Theory}
  • MA628 : Measure Theory {Theory}
  • MA631 : Advanced Fluid Dynamics {Theory}
  • MA632 : Advanced Numerical Analysis {Theory}
  • MA633 : Numerical solutions of ODE and PDE {Theory}
  • MA6611 : Analysis {Theory}
  • MA471 : Programming Practice Laboratory - I {Practical}
  • MA473 : Programming Practice Laboratory – II {Practical}
  • MA474 : Programming Practice Laboratory - III {Practical}

 Research Scholars

Ph.D. Students
Statistics, Applied Probability

 Sangita Das

 OnGoing

 Co-Supervisor

Elliptic Pde

 Akasmika Panda

 OnGoing

 Supervisor

Study Of Elliptic Pde

 Sekhar Ghosh

 OnGoing

 Supervisor

Existence And Multiplicity Of Solutions To Some Problems In Local And Nonlocal Elliptic Pdes

 Amita Soni

 Graduated

 Supervisor

 Dissertations

PG Dissertation
  • Asim Patra (413MA2066), "Existence of weak solutions of p-Laplacian problem" - M.Sc.    Supervisor     2014-15 Spring
  • Aliviya Bhowmick (414MA2036), "p-Laplacian Operator Dependent Problem" - M.Sc.    Supervisor     2015-16 Spring
  • Arindam Das (413MA2057), "GEOMETRY OF SOBOLEV SPACE" - M.Sc.    Supervisor     2015-16 Spring
  • Shubhankar Mandal (414MA2042), "Existence of the solution for p-Laplacian Elliptic Equation with weights" - M.Sc.    Supervisor     2015-16 Spring
  • Prem Dagar (415MA2074), "Baire Category Theorem and its applications , Radon Nikodym Theorem and its applications" - M.Sc.    Supervisor     2016-17 Spring
  • Rahul (415MA2071), "Convex functions on real Banach spaces" - M.Sc.    Supervisor     2016-17 Spring
  • Kamlesh Raghuwanshi (416MA2092), "An if and only if condition for the inclusion of $L^r(\mathbb{R})$ in $L^p(\mathbb{R})+L^q(\mathbb{R})." - M.Sc.    Supervisor     2017-18 Spring
  • Lokesh Kumar (416MA2087), "Weak L^p spaces" - M.Sc.    Supervisor     2017-18 Spring
  • Priya Chaudhary (416MA2080), "Linear second order elliptical partial differential equation with L^1 data." - M.Sc.    Supervisor     2017-18 Spring
  • Km Dimpi (417MA2079), "Weak Solutions of the Stokes Equations" - M.Sc.    Supervisor     2018-19 Spring
  • Rajesh Yadav (417MA2100), "BANACH SPACES AND DUAL SPACES" - M.Sc.    Supervisor     2018-19 Spring
  • Ritika Agrawal (417MA2086), "The Fractional Sobolev Spaces" - M.Sc.    Supervisor     2018-19 Spring
  • Prabal Acharya (418MA2081), "Application of Functional Analysis to PDEs involving a $p$-Laplacian Equation" - M.Sc.    Supervisor     2019-20 Spring
  • Sanjeev Kumar (418MA2090), "Analysis of weak solutions to p-harmonic equations" - M.Sc.    Supervisor     2019-20 Spring
UG Dissertation
  • Chinmoy Dey (410MA5048), "Derivative Free Methods of Optimization: Trust Region Method and Direct Search Method" - Integrated M.Sc.    Supervisor     2014-15 Spring
  • Himanshu Singh (410MA5076), "Study on Elliptic Partial Differential Equations" - Integrated M.Sc.    Supervisor     2014-15 Spring
  • Sajan Kumar (410MA5080), "Existence and Uniqueness Results for Nonlinear Boundary Value Problems of Elliptic P.D.Es" - Integrated M.Sc.    Supervisor     2014-15 Spring
  • Rayaprolu Satya Chandra Mouli (411MA5046), "Applications of Functional Analysis to a class of elliptic PDEs" - Integrated M.Sc.    Supervisor     2016 Summer
  • Sachchidanand Prasad (412MA5079), "Concept of Differentiation in Banach Spaces" - Integrated M.Sc.    Supervisor     2016-17 Spring
  • Abhishek Kumar (414MA5094), "A REVIEW OF THE ARTICLE - ‘Multiplicity of solutions to an elliptic problem with singularity and measure data’" - Integrated M.Sc.    Supervisor     2020 Summer

 Awards and Honours

No Awards/Honours Found....