Prasanta Kumar Barik

About

I work mainly on existence, uniqueness theory, asymptotic behavior and equilibrium solutions of kinetic equations and related models, including coagulation and fragmentation processes and Partial integro-differential equations.

Employment

• Birla Institute of Technology and Science, Pilani - Dubai Campus Assistant Professor
  2026 - Present
• BITS Pilani Professor (Assistant)
  2024 - 2026
• Universidad de Granada IMAG – MARIA DE MAEZTU POSTDOCS
  2023 - 2024
• Indian Institute of Science Education and Research, Thiruvananthapuram Post-doctoral Fellow
  2021 - 2022
• Indian Institute of Science Education and Research Thiruvananthapuram Research Scientific Staff
  2021 - 2021
• TIFR Centre for Applicable Mathematics Post-doctoral Fellow
  2019 - 2021

Education

• Indian Institute of Technology Roorkee PhD
  2014 - 2018
• Ravenshaw University MPhil
  2009 - 2010
• Ravenshaw University MSc.
  2007 - 2009

Projects & Funding

Projects & funding information is unavailable.

Publications (12)

• The Discrete Generalized Exchange‐Driven System
  Mathematical Methods in the Applied Sciences 2026 DOI: 10.1002/mma.70222
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• Hybrid CBSQI‐WENO Schemes for Convection‐Diffusion Problems
  International Journal for Numerical Methods in Fluids 2025 DOI: 10.1002/fld.5380
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• A note on the mixed discrete–continuous coagulation–fragmentation equation
  Zeitschrift für angewandte Mathematik und Physik 2025 DOI: 10.1007/s00033-025-02460-7
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• Numerical study of finite volume scheme for coagulation–fragmentation equations with singular rates
  Journal of Hyperbolic Differential Equations 2023 DOI: 10.1142/s0219891623500248
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• Mass-conserving weak solutions to Oort-Hulst-Safronov coagulation equation with singular rates
  Journal of Differential Equations 2022 DOI: 10.1016/j.jde.2022.04.015
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• Existence and uniqueness of weak solutions to the singular kernels coagulation equation with collisional breakage
  Nonlinear Differential Equations Applications 2021 DOI: 10.1007/s00030-021-00696-6
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• Mass-conserving weak solutions to the coagulation and collisional breakage equation with singular rates
  Kinetic & Related Models 2021 DOI: doi: 10.3934/krm.2021009
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• Weak solutions to the continuous coagulation model with collisional breakage
  Discrete and Continuous Dynamical Systems Series A 2020 DOI: doi: 10.3934/dcds.2020272
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• Global classical solutions to the continuous coagulation equation with collisional breakage
  Zeitschrift für angewandte Mathematik und Physik 2020 DOI: 10.1007/s00033-020-1261-5
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• Existence of mass-conserving weak solutions to the singular coagulation equation with multiple fragmentation
  Evolution Equations and Control Theory 2019 DOI: doi/10.3934/eect.2020012
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