Dr. DEBAJYOTI CHOUDHURI Associate Professor
School of Basic Sciences

Research Interests

I primarily delve into functional analytic and algebraic topological techniques to understand the existence and multiplicity of solutions to linear/nonlinear elliptic PDEs.
 
 
 

Contact Details

  • School of Basic Sciences, OFFICE: 311
  • dchoudhuri@iitbbs.ac.in

Other Profile Link(s)

Education

 Degree Discipline Year School
  PhD Mathematics 2012 University of Hyderabad
 

Biosketch

 

Teaching

In IIT BBS:
 
Partial Differential Equations
Differential Equations
Math-1
 
In NIT Rourkela:
 
Real Analysis
Functional Analysis
Measure Theory
Complex Analysis
Partial Differential Equations
 
Math-I
Math-II
Math-III
 

Projects

Ongoing (As PI):
 
(1) NBHM Project - Understanding the 'giant' named supercaloric function to nonlinear evolution equation of parabolic type. Amount: 15,60,000 INR
 
 
Ongoing (As Co-PI):
 
(1) Underwater Acoustic composite metamaterial (RACCOM), cefipra Indo-French, project in NIT Rourkela. Amount: 70,72,734 INR
 
 
Completed (As PI):
 
(1) SERB MATRICS - Problems on elliptic PDEs involving singularities of various types with a measure data
 
(2) CSIR - A detailed study of the convection-diffusion-reaction and the Stokes equation applied to the study of protein dynamics inside a cell. Amount
 
 
(3) Design and develpement of vibration isolatos using negative stiffness mechanism, ISRO, Amount: 16,50,000 INR
 
 
 

Recent Publications (International Journals)

1On subelliptic equations on stratified Lie groups driven by singular nonlinearity and weak L1 data, S Sahu, D Choudhuri, DD Repovš, Asymptotic Analysis, 1-19, 2024
2Analysis of solution to an elliptic free boundary value problem equipped with a ‘bad’ data, Choudhuri, D., Zeng, S., Applied Mathematics Letters, 2024, 156, 109136
3A parabolic problem involving p(x)-Laplacian, a power and a singular nonlinearity Panda, A., Choudhuri, D., Saoudi, K., Journal of Elliptic and Parabolic Equations, 2024, 10(2), pp. 1153–1186
4A multiphase eigenvalue problem on a stratified Lie group, Choudhuri, D., Tavares, L.S., Repovš, D.D., Rendiconti del Circolo Matematico di Palermo, 2024, 73(7), pp. 2533–2546
5Existence of Multiple Solution for a Singular p(x)-Laplacian Problem, Ghanmi, A., Mbarki, L., Choudhuri, D., Complex Analysis and Operator Theory, 2024, 18(2), 26
6Existence of solution for a nonlocal elliptic problem with a Robin-type data, Choudhuri, D., Alkhal, R., Saoudi, K., Complex Variables and Elliptic Equations, 2024
7A study of a critical hypoelliptic problem in a stratified Lie group, Choudhuri, D., Tavares, L.S., López, J.A.Á., Complex Variables and Elliptic Equations, 2024
8An elliptic problem of the Prandtl–Batchelor type with a singularity, Choudhuri, D., Repovš, D.D., Boundary Value Problems, 2023, 2023(1), 63
9Higher order approximations for fractional order integro-parabolic partial differential equations on an adaptive mesh with error analysis, Santra, S., Mohapatra, J., Das, P., Choudhuri, D., Computers and Mathematics with Applications, 2023, 150, pp. 87–101
10A Double Phase Problem with a Nonlinear Boundary Condition, Choudhuri, D., Repovš, D.D., Saoudi, K., Bulletin of the Malaysian Mathematical Sciences Society, 2023, 46(4), 121
11On elliptic problems with Choquard term and singular nonlinearity, Choudhuri, D., Repovš, D.D., Saoudi, K., Asymptotic Analysis, 2023, 133(1-2), pp. 255–266
12Algebraic topological techniques for elliptic problems involving fractional Laplacian, Panda, A., Choudhuri, D., Bahrouni, A., Manuscripta Mathematica, 2023, 170(3-4), pp. 563–579
13A MULTIPLICITY RESULTS TO A p − q LAPLACIAN SYSTEM WITH A CONCAVE AND SINGULAR NONLINEARITIES Choudhuri, D., Kratou, M., Saoudi, K., Fixed Point Theory, 2023, 24(1), pp. 127–154
14A critical elliptic problem involving exponential and singular nonlinearities, Choudhuri, D., Saoudi, K., Fractional Calculus and Applied Analysis, 2023, 26(1), pp. 399–413
15On semilinear equations with free boundary conditions on stratified Lie groups, Choudhuri, D., Repovš, D.D., Journal of Mathematical Analysis and Applications, 2023, 518(1), 126677
16ELLIPTIC PROBLEM IN AN EXTERIOR DOMAIN DRIVEN BY A SINGULARITY WITH A NONLOCAL NEUMANN CONDITION , Choudhuri, D., Saoudi, K., Methods of Functional Analysis and Topology, 2023, 29(1-2), pp. 16–29
17A weighted fractional problem involving a singular nonlinearity and an L^1 datum, Panda, A., Choudhuri, D., Tavares, L.S. Complex Variables and Elliptic Equations, 2023, 68(12), pp. 2093–2117
18Mixed order elliptic problems driven by a singularity, a Choquard type term and a discontinuous power nonlinearity with critical variable exponents, Zuo, J., Choudhuri, D., Repovš, D.D., Fractional Calculus and Applied Analysis, 2022, 25(6), pp. 2532–2553
19On critical variable-order Kirchhoff type problems with variable singular exponent, Zuo, J., Choudhuri, D., Repovš, D.D. Journal of Mathematical Analysis and Applications, 2022, 514(1), 126264
20Fractional p(·)-Kirchhoff Type Problems Involving Variable Exponent Logarithmic Nonlinearity, Zuo, J., Soni, A., Choudhuri, D., Fractal and Fractional, 2022, 6(2), 106
21Critical Kirchhoff p(·) & q(·) -fractional variable-order systems with variable exponent growth, Choudhuri, D., Zuo, J., Analysis and Mathematical Physics, 2022, 12(1), 30
22Existence of multiple solutions to Schrödinger–Poisson system in a nonlocal set up in R^3, Choudhuri, D., Saoudi, K., Zeitschrift fur Angewandte Mathematik und Physik, 2022, 73(1), 33
23Multiplicity of Solutions to a p-q Fractional Laplacian System with Concave Singular Nonlinearities, Saoudi, K., Choudhuri, D., Kratou, M., Journal of Mathematical Physics, Analysis, Geometry, 2022, 18(4), pp. 514–545
24Infinitely many solutions for a doubly nonlocal fractional problem involving two critical nonlinearities, Panda, A., Choudhuri, D., Complex Variables and Elliptic Equations, 2022, 67(12), pp. 2835–2865
25Existence of solution for a system involving a singular-nonlocal operator, a singularity and a Radon measure, Soni, A., Datta, S., Saoudi, K., Choudhuri, D., Complex Variables and Elliptic Equations, 2022, 67(4), pp. 872–886
26Elliptic problem driven by different types of nonlinearities, Choudhuri, D., Repovš, D.D., Boundary Value Problems, 2021, 2021(1), 85
27Self-duality of one-dimensional quasicrystals with spin-orbit interaction, Sahu, D.K., Acharya, A.P., Choudhuri, D., Datta, S. Physical Review B, 2021, 104(5), 054202
28A singular elliptic problem involving fractional p -Laplacian and a discontinuous critical nonlinearity, Saoudi, K., Panda, A., Choudhuri, D., Journal of Mathematical Physics, 2021, 62(7), 071505
29Existence of positive solutions for a singular elliptic problem with critical exponent and measure data, Panda, A., Choudhuri, D., Giri, R.K., Rocky Mountain Journal of Mathematics, 2021, 51(3), pp. 973–988
30ORDERING RESULTS on EXTREMES of EXPONENTIATED LOCATION-SCALE MODELS, Das, S., Kayal, S., Choudhuri, D., Probability in the Engineering and Informational Sciences, 2021, 35(2), pp. 331–354
31A critical fractional choquard problem involving a singular nonlinearity and a radon measure, Panda, A., Choudhuri, D., Saoudi, K., Journal of Pseudo-Differential Operators and Applications, 2021, 12(1), 22
32Existence and Hölder regularity of infinitely many solutions to a p-Kirchhoff-type problem involving a singular nonlinearity without the Ambrosetti–Rabinowitz (AR) condition, Choudhuri, D., Zeitschrift fur Angewandte Mathematik und Physik, 2021, 72(1), 36
33Reduced limit approach to semilinear partial differential equations (PDEs) involving the fractional Laplacian with measure data Giri, R.K., Choudhuri, D., Turkish Journal of Mathematics, 2021, 45(5), pp. 2108–2125
34Existence Results of Two Mixed Boundary Value Elliptic PDEs in R^N, Panda, A., Choudhuri, D., Bulletin of the Brazilian Mathematical Society, 2020, 51(2), pp. 543–568
35Existence of infinitely many solutions for a nonlocal elliptic PDE involving singularity, Ghosh, S., Choudhuri, D., Positivity, 2020, 24(2), pp. 463–479
36Infinitely many small solutions to an elliptic PDE of variable exponent with a singular nonlinearity, Ghosh, S., Choudhuri, D., Giri, R.K., Complex Variables and Elliptic Equations, 2020, pp. 1–21
37Least energy sign-changing solution to a fractional p-Laplacian problem involving singularities, Ghosh, S., Saoudi, K., Kratou, M., Choudhuri, D., Dynamics of Partial Differential Equations, 2020, 17(2), pp. 97–115
38Multiplicity and Hölder regularity of solutions for a nonlocal elliptic PDE involving singularity, Saoudi, K., Ghosh, S., Choudhuri, D., Journal of Mathematical Physics, 2019, 60(10), 101509
39Singular Nonlocal Problem Involving Measure Data, Ghosh, S., Choudhuri, D., Giri, R.K., Bulletin of the Brazilian Mathematical Society, 2019, 50(1), pp. 187–209
40A study of second order semilinear elliptic pde involving measures, Giri, R.K., Choudhuri, D., Filomat, 2019, 33(8), pp. 2489–2506
41Multiplicity of solutions to an elliptic problem with singularity and measure data, Ghosh, S., Panda, A., Choudhuri, D., Electronic Journal of Differential Equations, 2019, 2019, 60
42Elliptic partial differential equation involving a singularity and a radon measure, Panda, A., Ghosh, S., Choudhuri, D., Journal of the Indian Mathematical Society, 2019, 86(1-2), pp. 95–117
43Sharp quadrature error bounds for the nearest-neighbor discretization of the regularized stokeslet boundary integral equation Gallagher, M.T., Choudhuri, D., Smith, D.J., SIAM Journal on Scientific Computing, 2019, 41(1), pp. B139–B152
44Existence of multiple solutions to an elliptic problem with measure data, Soni, A., Choudhuri, D., Journal of Elliptic and Parabolic Equations, 2018, 4(2), pp. 369–388
45A study on elliptic pde involving the p-harmonic and the p-biharmonic operators with steep potential well, Giri, R.K., Choudhuri, D., Pradhan, S., Matematicki Vesnik, 2018, 70(2), pp. 147–154
46A Novel Application of the Classical Banach Fixed Point Theorem, Choudhuri, D., International Journal of Applied and Computational Mathematics, 2017, 3(3), pp. 1799–1808
47A study of an arbitrary unsteady Stokes flow in and around a liquid sphere, Choudhuri, D., Sri Padmavati, B., Applied Mathematics and Computation, 2014, 243, pp. 644–656
48Thermocapillary drift on a spherical drop in a viscous fluid, Choudhuri, D., Raja Sekhar, G.P., Physics of Fluids, 2013, 25(4), 043104
49Stokes flow past an arbitrary shaped body with slip-stick boundary conditions, Choudhuri, D., Radha, R., Sri Padmavati, B., Applied Mathematics and Computation, 2013, 219(10), pp. 5367–5375
50A study of an arbitrary Stokes flow past a fluid coated sphere in a fluid of a different viscosity, Choudhuri, D., Padmavati, B.S., Zeitschrift fur Angewandte Mathematik und Physik, 2010, 61(2), pp. 317–328
 

Academic Honors & Awards

  • Slovenian Research and Innovation Agency grant Visiting professor; worked with Prof. Duˇsan D. Repovˇs, Institute of Mathematics, Physics and Mechanics in Ljubljana, Slovenia, 2024
  • Xunta de Galicia, FEDER Visiting professor; worked with Prof. Jésus Antonio Álvarez López, University of Santiago, Spain, 2023
  • AScI fellowship Research member; worked with Prof. Juha Kinnunen, Aalto University, Espoo, Finland, 2019
  • EPSRC visiting grant Research member; worked with Prof. David Smith, School of Mathematics, Edgbaston, Birmingham, B15 2TT, United Kingdom, 2018
  • Aveiro grant Research member; worked with Prof. Eugenio Rocha and Prof. A. Caetano, Department of Mathematics, University of Aveiro Portugal, 2016
  • EPSRC visiting grant Research member; worked with Prof. David Smith, School of Mathematics, Edgbaston, Birmingham, B15 2TT, United Kingdom, 2014
  • CNPq Post doctoral Fellowship, Brazil, 2013
  • Fellowship from the Clay Mathematics Institute based on my academic record to attend the month-long workshop on Evolution equations at ETH Zürich, Switzerland, 2008
  • Qualified & Offered the GATE scholarship, Government of India, 2006
  • Qualified CSIR (JRF) 2005
  • Received the silver medal in the Regional mathematics Olympiad during BSc conducted by the AP Teacher’s Association, 2002
 

Research Scholar

Graduated:
 
Dr. Amita Soni
Dr. Sekhar Ghosh
Dr. Akasmika Panda
Dr. Sangita Das (I was a Co-PI)
 
Ongoing:
Ms. Subhashree Sahu
 

Professional Experience

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