Nitu Lakhmara - Research

Research Interests

Partial Differential Equations; Variational Methods; Flow in Porous Media; Moving Interface Problems
Homogenization theory; Stochastic Homogenization
Numerical Simulations

Technical Skills: LaTeX, MATLAB, Python, COMSOL, Microsoft Office, HTML

Publications

Journal Articles

Nitu Lakhmara and Hari Shankar Mahato, “An Upscaled Cahn-Hilliard-Oono-Puri System with Nonhomogeneous Boundary Condition in a Porous Medium," Revision submitted to Mathematical Methods in the Applied Sciences. (Impact Factor: 1.8; Publisher: Wiley)
Nitu Lakhmara and Hari Shankar Mahato, “Analysis of a Cahn-Hilliard model for a three-phase flow problem," Journal of Engineering Mathematics, 150, 13 (2025). https://doi.org/10.1007/s10665-024-10418-3 (Impact Factor: 1.4; Publisher: Springer Netherlands)
Nitu Lakhmara and Hari Shankar Mahato, “A Numerical Study of a Micro-macro Scale Model for a Two-phase Stokes-Cahn-Hilliard System in a Porous Medium," Accepted for publication in Journal of Porous Media and available now under Forthcoming Articles here: https://doi.org/10.1615/JPorMedia.2025057037 (Impact Factor: 2.5; Publisher: Begell House Inc.)
Nitu Lakhmara and Hari Shankar Mahato, “Micro-scale Diffused Interface Modeling with Regularized Logarithmic Potential in Porous Media," Accepted for publication in Boundary Value Problems. (Impact Factor: 1.1; Publisher: SpringerOpen)
Nitu Lakhmara and Hari Shankar Mahato, "Homogenization of a coupled incompressible Stokes-Cahn-Hilliard system modeling binary fluid mixture in a porous medium," Nonlinear Analysis, 222:112927, 2022. https://doi.org/10.1016/j.na.2022.112927 (Impact Factor: 1.3; Publisher: Elsevier)

Conference Papers

Nitu Lakhmara and Hari Shankar Mahato, "A Multiscale Model of Stokes-Cahn-Hilliard Equation in a Porous Medium Modeling, Analysis, and Homogenization," In Mathematics and Computing. ICMC 2022. Springer Proceedings in Mathematics & Statistics, vol 415. Springer, Singapore. https://doi.org/10.1007/978-981-19-9307-7_46

Conferences

Presentations

Abstract entitled “A Multiscale Non-Local Cahn–Hilliard System in a Porous Medium” accepted for presentation at the The Third Joint SIAM/CAIMS Annual Meetings (AN25) as part of CP24 Fluid Dynamics, July 28th – August 1st, 2025, Montréal, Québec, Canada. Acceptance
Abstract entitled “An Upscaled Cahn-Hilliard-Oono-Puri System in a Porous Medium” accepted for poster presentation in mini-symposium MS06-A, InterPore2025, May 19th - 22nd, 2025, Albuquerque, USA. Acceptance
Presented an abstract entitled "Study of a Diffuse Interface Model in a Periodic Porous Medium" at the SIAM Conference on Mathematical & Computational Issues in the Geosciences June 19th – 22nd, 2023, organized by the University of Bergen, Bergen, Norway. Credential
Presented an abstract entitled "Homogenization and Numerical Simulation of a Ternary Diffuse Interface Model in a Porous Medium" at the Joint Mathematics Meetings (JMM), January 4th-7th, 2023 organized by the American Mathematical Society (AMS) in Boston, Massachusetts, United States. Credential
Presented an abstract entitled "Numerical Validation of a two-phase Stokes-Cahn-Hilliard Model in a porous medium" at 88th Conference of the Indian Mathematical Society (IMS) (December 27th-30th, 2022) organized by the Department of Mathematics, Birla Institute of Technology Mesra, Ranchi, India. Credential
Presented an abstract entitled “Upscaling of a Cahn-Hilliard-Stokes model with logarithmic potential in a porous medium, at the International Conference on Modeling, Analysis, and Simulations of Multiscale Transport Phenomena (ICMASMTP 2022), August 25th-27th, 2022, Department of Mathematics, Indian Institute of Technology Kharagpur, West Bengal, India. Credential
Presented conference paper in "8th International Conference on Mathematics and Computing ICMC 2022", January 6th-8th, 2022, Department of Mathematics School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India. Credential
Presented a poster entitled "Homogenization of an Incompressible Stokes/Cahn-Hilliard System using the Binary Fluid Model in Porous Media" in "V Workshop on Fluids and PDE-Online", 20th September-1st October 2021, Universidade Estadual de Campinas (Unicamp), Brazil, South America. Credential

Participation

Participated in "International Conference on Advances in Transport Phenomena (ICATP-2022)" July 16th-18th, 2022, School of Advanced Sciences, VIT-AP University, Andhra Pradesh, India. Credential

Workshops

Attended the five-day online Employee Development Programme on “SCOPUS-Indexed SDG Score Increasing of Publications in the Context of UN’s International Decade of Sciences for Sustainable Development (2024–2033)”, June 10th–14th, 2025, organized by the School of Social Sciences and Humanities & the School of Advanced Sciences, VIT-AP University, Andhra Pradesh.
Attended the five-day online Faculty Development on "Recent Scientific Advancements in PhysCheMath" (RAPCM 2025), March 4th-8th, 2025, organized by the School of Advanced Sciences, VIT-AP University.
Attended a workshop "Mathematical Modelling and Analysis in Solid and Fluid Mechanics," March 3rd–7th, 2025, organized by the Department of Mathematics, School of Physical Sciences, Mahatma Gandhi Central University.
Selected and attended a workshop "NCMW - Control Theory for Partial Differential Equation," December 4th-16th, 2023, organized by the National Centre for Mathematics: A joint centre of IIT Bombay & TIFR, Mumbai, and held at IISER Thiruvananthapuram, Kerala, India. Credential
Attended a "Mini-Course on Finite Element Analysis of Elliptic Partial Differential Equations," by Prof. Neela Nataraj, July 29th - 30th, 2023, organized by Indian Women and Mathematics (IWM), online mode.
Participated in "The 2nd International Workshop on Numerical and Analytical Techniques in Engineering Problems (e-IWNATEP - 2022)" January 19th-21st, 2022, Department of Mathematics, SRMIST, Kattankulathur, Chennai, India. Credential
Participated in "INDO-NORWEGIAN WORKSHOP ON COMPUTATIONAL CHALLENGES AND MODELLING OF COUPLED PROCESSES IN POROUS MEDIA, 1st-2nd October 2021, Bergen, Vestland, Norway.
Participated in workshop on "Transport Processes," 22nd-26th March 2021, Indian Institute of Technology Kharagpur, West Bengal, India.
Participated in discussion meeting "MULTI-SCALE ANALYSIS THEMATIC", 15th-19th February 2021, International Center for Theoretical Sciences, Bengaluru, Karnataka, India. Credential
Participated in Online Short-Term Course on “Numerical Solutions of Differential Equations,” 16th-20th September 2020, NIT Jalandhar, India. Credential Participated in Symposium on "Computational Data Science and its Applications", 17th February 2020, Department of Mathematics, Indian Institute of Technology Kharagpur, West Bengal, India. Credential
Participated in TEQIP III Workshop on "Mathematical Tools for Boundary Value Problems and Applications," 9th-13th March 2020, Department of Mathematics, Indian Institute of Technology Kharagpur, West Bengal, India. Credential

To learn about my ongoing research and scholarly contributions, you may access the specific sections using the buttons below.

Publications

Conferences & Workshops

Page updated

Google Sites

Report abuse