Dr. Tuhina Mukherjee

Assistant Professor

Department of Mathematics

National Institute of Technology, Warangal - 506004, Telangana, INDIA

: tuhina@nitw.ac.in

: 8750633293

Interests: Analysis of Partial Differential Equations

 

EDUCATION

  • Doctor of Philosophy (Ph.D.)  (2018)
    • Specialization: Analysis of Partial Differential Equations
    • Thesis Title: Nonlocal elliptic and parabolic problems with singular and critical nonlinearties
    • Supervisor: Prof. K. Sreenadh
    • Institute: Indian Institute of Technology Delhi
  • Master of Science (M.Sc.) (2014)
    • Specialization: Mathematics and Computing
    • Institute: Indian Institute of Technology Guwahati
  • Bachelor of Science (B.Sc.) (2012)
    • Major Subjects: Mathematics (Honours)
    • University: Lady Brabourne College, University of Calcutta

 

WORK EXPERIENCE

  • Post-Doctoral Fellow at Tata Institute of Fundamental Research (TIFR-CAM) Bengaluru, Karnataka (24 July-2018 to 30 Nov -2019)

Course Taught Previously

 

Current Semester (Odd-Semester AY 2020-2021)

  • MA 5103: Ordinary Differential Equations (M.Sc. First year)
  • MA 101: Mathematics-I (B.Tech. First Year) 
  • MA 5107: CPDS Lab

 

Courses taught in the Even-Semester (AY 2019-2020)

  • MA 151: Mathematics-II (B.Tech. First Year)
  • MA 5154: Partial Differential Equations (M.Sc. First Year)
  • MA 5156: Computational Laboratory

Publications

  •  P. Garain and T. Mukherjee, Quasilinear nonlocal elliptic problems with variable singular exponent, Communications in Pure and Applied Analysis, (2020), DOI:10.3934/cpaa.2020226 (I.F. 1.105)
  •           R. Arora, J. Giacomoni, T. Mukherjee and K. Sreenadh, Adams-Moser-Trudinger inequality in the cartesian product of Sobolev spaces and its applications, RACSAM114, 111 (2020), https://doi.org/10.1007/s13398-020-00852-0 (I.F. 1.028)
  •           K. Sreenadh and T. Mukherjee, Critical Growth Elliptic Problems with Choquard Type Nonlinearity: A Survey, In: Manchanda P., Lozi R., Siddiqi A. (eds) Mathematical Modelling, Optimization, Analytic and Numerical Solutions. Industrial and Applied Mathematics, Springer, Singapore, (2020),DOI: 10.1007/978−981−15−0928−510.
  •           T. Mukherjee, Concentration Phenomenon in the critical exponent problems on Hyperbolic space, Applicable Analysis, (2020), DOI: 10.1080/00036811.2020.1712367.(I.F. 1.076)
  •           R. Arora, J. Giacomoni, T. Mukherjee and K. Sreenadh, Polyharmonic Kirchhoff type Choquard equations involving exponential nonlinearity with singular weights, Nonlinear Analysis, 196 (2020), 111779. (I.F. 1.45)
  •           C.O. Alves and T. Mukherjee, Existence and Multiplicity of solutions for a class of Hamiltonian systems, Monatshefte fur Mathematik, (2020),DOI: 10.1007/s00605-020-01379-7. (I.F. 0.807)
  •           P. Garain and T. Mukherjee, On a class of weighted p-Laplace equations with singular nonlinearity, (2019), Mediterranean Journal of Mathematics, DOI: 10.1007/s00009-020-01548-w. (I.F. 1.81)
  •           R. Arora, J. Giacomoni, T. Mukherjee and K. Sreenadh, n-Kirchhoff Choquard equations with exponential nonlinearity, Nonlinear Analysis, 186 (2019), 113-144. (I.F.1.45)
  •           J. Giacomoni, T. Mukherjee and K. Sreenadh,A Global multiplicity result for a very singular critical nonlocal equation, Topological Methods in Nonlinear Analysis,(2019), DOI: 10.12775/TMNA.2019.049 (I.F. 0.837)
  •          J. Giacomoni, T. Mukherjee and K. Sreenadh, Doubly nonlocal system with Hardy-Littlewood-Sobolev critical nonlinearity, Journal of Mathematical Analysis and Applications, 467 (1) (2018), 638-672. (I.F. 1.188)
  •         J. Giacomoni, T. Mukherjee and K. Sreenadh, Existence and stabilization results for a singular parabolic equation involving the fractional Laplacian, Discrete and Continuous Dynamical Systems - Series S, 12 (2) (2019), 311-337. (I.F. 0.545)
  • T. Mukherjee and K. Sreenadh, On doubly nonlocal p-fractional coupled elliptic system, Topological Methods in Nonlinear Analysis, 51 (2) (2018), 609-636. (I.F. 0.837)
  • T Mukherjee and K Sreenadh, On concentration of least energy solutions for magnetic critical Choquard equations, Journal of Mathematical Analysis and Applications, 464 (1), 402-420, (2018). (I.F. 1.188)
  • J. Giacomoni, T. Mukherjee and K. Sreenadh, Existence of three positive solutions for a nonlocal singular dirichlet boundary problem, Advanced Nonlinear Studies,19(2), (2019), 333-352. (I.F. 1.650)
  • T. Mukherjee and K. Sreenadh, Fractional Choquard Equation with critical nonlinearities, Nonlinear Differ. Equ. Appl., (2017), 24: 63. (I.F. 1.067)
  • T. Mukherjee and K. Sreenadh, On Dirichlet problem for fractional p-Laplacian with singular nonlinearity, Advances in Nonlinear Analysis, 8(1) (2019), 52-72.(I.F. 6.636)
  • T. Mukherjee and K. Sreenadh, Positive solutions for nonlinear Choquard equation with singular nonlinearity, Complex Variables and Elliptic Equations, 62 (2017),1044-1071. (I.F. 0.832)
  • J. Giacomoni, T. Mukherjee and K. Sreenadh, Positive solutions of fractional elliptic equation with critical and singular nonlinearity, Advances in Nonlinear Analysis, 6(3)(2017), 327-354. (I.F. 6.636)
  • T. Mukherjee and K. Sreenadh, Fractional elliptic equations with critical growth and singular nonlinearities, Electronic Journal of Differential Equations, 54 (2016) 1-23.(I.F. 0.944)

PHDs Supervised

 

Workshops/Conferences

  •  Presented a paper in ”Indian Women and Mathematics”-2019 Conference held at IIT Bombay, 10-12 June 2019.”
  • Indo-German workshop on ’Optimal Control, Inverse Problems and their applications’” held in IIT Delhi, 7-9 February 2018.
  • ”Recent Development in Nonlinear Partial Differential Equations and Applications”, held in TIFR-CAM, November 2017.
  • ”Advanced School/Workshop on Nonlocal Partial Differential Equations and Applications to Geometry, Physics and Probability”, held at ICTP, Trieste, Itlay in May2017.
  • ”International IFCAM conference on Nonlinear PDEs”, held in TIFR-CAM, March2017.
  • Workshop on ”Geometry and Analysis on CR Manifolds”, held in HRI-Allahabad, October 2016.
  • ”ATMW Partial Differential Equations of fractional order” held in TIFR-CAM, July2015.
  • Workshop on ”Recent Advances in Differential Equations” held in TIFR-CAM, December 2014.
  • MTTS program (Level-2) held at SVNIT, Surat in June 2013.
  • One Day UGC-CPE Sponsored Seminar on ”Some Topics of Algebra and Analysis”, University of Calcutta, 2012.

Projects

 

Awards and Honors

 

ACADEMIC ACHIEVEMENTS

  • Recipient of National Board for Higher Mathematics (NBHM) Post-Doctoral Fellowship (2018)
  • Qualified Graduate Aptitude Test in Engineering (GATE) with AIR–80 in Mathematics (2014)
  • Qualified CSIR-UGC NET (LS) in Mathematical Sciences (Dec-2013)
  • Qualified IIT-JAM (Joint Admission Test for Post-Graduate Programs) with AIR–150 in Mathematics (2012)

Additional Responsibility