PhD Supervision:
- Kapil Kumar Chaudhary (Completed in 2022)
- Sonali Kaushik (Thesis Submitted)
- Sanjiv Kumar Bariwal
- Gourav Arora
- Saddam
- Shweta
Publications:
Under Revision/Review:
Accepted Articles:
- Kapil Choudhary, Rajiv Kumar and Rajesh Kumar: Global Classical and Weak Solutions of the Prion Proliferation Model in the Presence of Chaperone in a Banach Space, Evolution Equations and Control Theory, 2021.
Published Articles:
- Prasanta Kumar Barik, Ankik Kumar Giri & Rajesh Kumar: Mass-conserving weak solutions to the coagulation and collisional breakage equation with singular rates, Article in Press, Kinetic and Related Models, 2020.
- Sonali Kaushik & Rajesh Kumar: Existence, Uniqueness and Mass Conservation for Safronov-Dubovski Coagulation Equation, under review in Acta Applicandae Mathematicae.
- Sonali Kaushik, Rajesh Kumar & Fernando P Da Costa: Safronov-Dubovski Coagulation Equation: Existence, Mass Conservation and Differentiability for Sum Kernel.
- Sanjiv Kr. Bariwal & Rajesh Kumar: Convergence of Weighted Finite Volume Scheme for Solving Coagulation-Fragmentation Equations.
- Kapil Choudhary, Rajiv Kumar and Rajesh Kumar: Existence of solutions of a prion-chaperone model including polymer joining, under review in Applicable Analysis.
- Sanjiv Kr. Bariwal, Prasanta Kr. Barik, Ankik Kr. Giri & Rajesh Kumar: Finite volume convergence analysis for coagulation-fragmentation equations with singular rates, under review in Zeitschrift für angewandte Mathematik und Physik.
- Sonali Kaushik & Rajesh Kumar: Steady-State Solution for Discrete Oort-Hulst-Safronov Coagulation Equation, under review in Int. J. of Dynamical Systems and Differential Equations
- Nabil Bedjaoui, Rajesh Kumar & Youcef Mammeri: Asymptotic behavior of solution of Whitham-Broer-Kaup type equations with negative dispersion, Article in Press, Journal of Applied Analysis, 2020.
- Rajiv Kumar, Kapil Kumar Choudhary and Rajesh Kumar: Study of the solution of a semilinear evolution equation of a prion proliferation model in the presence of chaperone in a product space, Mathematical Methods in the Applied Sciences, 1-14, 2020, https://doi.org/10.1002/mma.6894.
- Rajesh Kumar, Souvik Ghosh, Abhijit Datta Banik. Numerical Study on Transient Behavior of Finite Bulk Arrival or Service Queues with Multiple Working Vacations, Article in Press, Int. J. of Mathematics in Operational Research, 2020.
- Rajesh Kumar, Yashodhan Gokhale, Vikranth Surasani. Population Balance Modeling with Coupled Agglomeration and Disintegration Processes for TiO2 Nanoparticles Formation and Experimental Validation, Journal of Cluster Science Including Nanoclusters and Nanoparticles, 2020, DOI: 10.1007/s10876-020-01895-4.
Rajesh Pradhan, Siddhanth Hejmady, Rajeev Taliyan, Rajesh Khadgawat, Tarang Gupta, Garima Kachhawa, Rajesh Kumar, Gautam Singhvi & Sunil Kumar Dubey, Simultaneous estimation of parabens and bisphenol a in ready-to-eat foodstuffs by using QbDdriven high-pressure liquid chromatography method, International Journal of Environmental Analytical Chemistry, 2020, https://doi.org/10.1080/03067319.2020.1756272
- Suresh Pathi, Rajesh Kumar, Vikranth Kumar Surasani. Investigation on agglomeration kinetics of acetaminophen using fluidized bed wet granulation, Asia-Pacific Journal of Chemical Engineering, 2020,
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. - Daniel Kressner, Rajesh Kumar, Fabio Nobile and Christine Tobler: Low rank tensor approximation for high-order correlation functions of Gaussian random fields, SIAM/ASA J. Uncertainty Quantification 3(1), 393-416, 2015.
- Rajesh Kumar,Jitendra Kumar and Gerald Warnecke: Convergence analysis of a finite volume scheme for solving non-linear aggregation-breakage population balance equations, Kinetic and Related Models 7(4), 713-737, 2014.
- Rajesh Kumar,Jitendra Kumar and Gerald Warnecke: Moment preserving finite volume schemes for solving population balance equations incorporating aggregation, breakage, growth and source terms, Mathematical Models and Methods in Applied Sciences 23(07), 1235-1273, 2013.
- Rajesh Kumar and Jitendra Kumar: Numerical simulation and convergence analysis of a finite volume scheme for solving general breakage population balance equations, Applied Mathematics and Computation 219(10), 5140-5151, 2013.
- Rajesh Kumar and Jitendra Kumar: A population balance model with simultaneous aggregation and breakage for the synthesis of Titanium dioxide nanoparticles, Indian Journal of Indus. & Appl. Math. 4(1), 71-81, 2013. Special issue dedicated to Prof. Helmut Neunzert.
- Rajesh Kumar and Jitendra Kumar: Finite volume scheme for multiple fragmentation equations, Int. Journal of Numerical Analysis and Modeling 3(3), 270-284, 2012.
- Rajesh Kumar, Jitendra Kumar and Gerald Warnecke: Numerical methods for solving two-dimensional aggregation population balance equations, Computers and Chemical Engineering Science 35, 999-1009, 2011.
- Y. Gokhale, R. Kumar, J. Kumar, W. Hintz, G. Warnecke and J. Tomas: Disintegration process of surface stabilized sol-gel TiO2 nanoparticles by population balances, Chemical Engineering Science 64, 5302-5307, 2009.
Published Book (Monograph):
1. Numerical
analysis of finite volume schemes for population balance equations, Docupoint Wissenschaft, Magdeburg, Germany, ISBN-978-3869121055, PhD Thesis 2012.
Technical Report/Theses:
1. D. Kressner, R. Kumar, F. Nobile and C. Tobler: Low rank tensor approximation for high order correlation functions of Gaussian random fields, Mathicse Technical Report, EPFL, Switzerland, No. 24, 2014.
2. T. A. Airaksinen, Yu He, T. W. Kinyanjui, R. Kumar, K. Ristic, C. A. Zarzer: Paint Drying With UV Rays. ECMI modelling week report. Copy available at