Associate Professor

Department of Mathematics

Motilal Nehru National Institute of Technology Allahabad, Prayagraj, India-211004

E-mail: gnath[at]mnnit[dot]ac[dot]in

Telephone: 05322271259(O) 08115020328(M)

**Keynote Address/Invited Talks in Conferences & Workshops:**- Delivered five lectures on group theory as a resource person in training program organized by ISMAMS at Gorakhpur Sponsored by DST, New Delhi in 12-26, October 2007.
- Delivered a lecture on cylindrical shock wave in a rotational axisymmetric mixture of a non-ideal gas and small solid particles, at Shock wave laboratory IISc, Banglore, 14 July 2012.
- Delivered Invited lecture on: “Similarity methods and its applications” in national conference Organized by ISMAMS, Gorakhpur, 22-23, Feb. 2013
- Delivered lecture on: Self-similar solution of cylindrical shock wave propagation in a rotational axisymmetric mixture of a non-ideal gas and small solid particles on 09 April 2013 in Department of Mathematics, MNNIT Allahabad
- Delivered two invited lectures on “Differential Equation and Shock Waves” National Technology Day, 11 May 2013, sponsored by CST-UP, at SMPS, Narayan Ashram, Shiv Kuti, Allahabad
- Delivered Invited lecture on: “Differential equation and shock wave” in national conference CORTMAS-2013 Organized by Department of Mathematics, DDU Gorakhpur, University, Gorakhpur, 27-28, July 2013
- Delivered invited lecture on: “Similarity solution of differential equation via lie group theory” in 11th national conference of ISMAMS Jointly Organized by Department of Mathematics, DDU Gorakhpur, University and ISMAMS, 21-22, Feb. 2014
- Delivered two invited lectures on: “Similarity solution of differential equations via lie group theory and application to solve physical problems” in national workshop Organized by Department of Mathematics, NIT Raipur, 10-14, March 2014
- Delivered a lecture on "Role of mathematical sciences in engineering and technology" in national conference NCRTMS-16, 12-13 April 2016, Organized by Department of Applied Science, MMM University of Technology, Gorakhpur
- Delivered invited talk on: “Theory of hyperbolic waves and weak solution" in national conference NCRTMS-16, on 24 July 2016, Organized by Department of Mathematics, DDU Gorakhpur, University, 23-24, July 2016
- Delivered a lecture on: “Generalization of notion of solution of PDE and weak solution" in national workshop ETMMAC-2017,on 24 March 17, Organized by Department of Mathematics, MNNIT Allahabad, 23-25, March 2017.
- Delivered invited talk on: “Self-similarity method and it applications to solve complex physical problems " in 33rd Annual Conference of RMS 2018, during 1-3, June 2018. on 3 June 2018, organized by Department of Mathematics, Delhi University
- Delivered invited talk on: “Solution of physical problems via similarity method and its applications" in National Conference on Recent Trends in Mathematical Sciences, during 24-25, Nov. 2018. on 25 Nov. 2018, organized by Department of Mathematics and Statistics, DDU Gorakhpur University
- Delivered invited talk on “Numerical Solution of ODEâ€™s” in Short Term Course on Numerical Techniques for Scientific Computations, during 15-19, July 2019 at KNIT Sultanpur on July 15, 2019, Jointly organized by Department of Applied Sciences and Humanities, KNIT, Sultanpur, Department of Mathematics, MNNIT Allahabad sponsored by TEQIP-III.

**Conferences Attended for Presenting Paper:**- G Nath, Similarity solution for unsteady isothermal flow behind a magnetogasdynamic shock wave in a gravitating gas with increasing energy and variable density (presented in The VIII -Internal Conference on Fluid Mechanics, Heat Transfer and Thermodynamics, January 15- 17, 2012, Zurich, Switzerland)
- G Nath, Self-similar flow behind a spherical shock wave in a non-ideal dusty gas under the gravitational field: isothermal flow (Presented in 39th Committee on Space Research (COSPAR) Scientific Assembly, during 14-22 July 2012, Mysore, India, organized by ISRO)
- G. Nath, Similarity solutions for unsteady flow behind an exponential shock in an axisymmetric rotating non-ideal gas (Presented in International Congress of Mathematicians (ICM 2014), during 13-21 August 2014, Coex, Seoul, South Korea)
- G. Nath and J P Vishwakarma, Similarity solution of magnetogasdynamic spherical shock wave in a non-ideal gas under gravitational field with conductive and radiative heat fluxes (Presented in International Congress of Mathematicians (ICM 2014), during 13-21 August 2014, Coex, Seoul, South Korea)
- G. Nath and A. K. Sinha, Non-similarity solution for shock waves in a rotational axisymmetric gas with magnetic field and density varying exponentially (Presented in ICMMCS, 8-10, December 2014, IIT Madras)
- G. Nath, M. Dutta and R. P. Pathak, Exact solution of shock waves in non-ideal gas with magnetic field and radiation flux under the influence of gravitational field (Presented in IEEE Int. Conf. on Advances in Mechanical, Industrial, Automation and Management Systems (AMIAMS-2017), during 03-05 Feb., 2017, Organized by Department of Mechanical Engineering, MNNIT Allahabad)
- G. Nath, Propagation of exponential shock wave in an axisymmetric rotating non-ideal dusty gas (Presented in 2017 Asia-Pacific Regional International Astronomical Union (IAU) Meeting, 3-7 July 2017, Taipei, Taiwan)
- G. Nath, Cylindrical shock wave generated by a moving piston in a rotational axisymmetric non-ideal gas with conductive and radiative heat-fluxes in the presence of azimuthal magnetic field (Presented in 2017 Asia-Pacific Regional IAU Meeting, 3-7 July 2017, Taipei, Taiwan)
- J. P. Vishwakarma and G. Nath, Similarity solutions for unsteady flow behind an exponential shock in a non-ideal gas (presented in ISMAMS, 2003).
- J. P. Vishwakarma and G. Nath, Propagation of shock waves in an exponential medium with heat conduction and radiation heat flux (presented in International Academy of Physical Sciences, 2004).
- J. P. Vishwakarma and G. Nath, Similarity solutions for unsteady flow behind an exponential shock in a dusty gas (presented in ISMAMS, 2004).
- J. P. Vishwakarma and G. Nath, Converging detonation waves in a dusty (presented in ISMAMS, 2005).
- J. P. Vishwakarma and G. Nath, Similarity solution for the flow behind the shock wave in a non-ideal gas with heat conduction and radiation heat flux in magnetogasdynamics (presented in ISMAMS, 2007).
- J. P. Vishwakarma and G. Nath, Magnetogasdynamic shock wave in a rotating gas with exponentially varying density (presented in ISMAMS, 2008).
- J. P. Vishwakarma and G. Nath, Propagation of a cylindrical shock wave in a rotating dusty with heat conduction and radiation heat flux (presented in ISMAMS, 2009).
- G. Nath, Self-similar flow behind a spherical shock wave generated by a piston moving in a gravitating or non-gravitating mixture of a non-ideal gas and small solid particles (presented in 29-th meeting of Astronomical Society of India, ASI 2011, Feb. 23-25, 2011, Raipur, India)
- G. Nath, Propagation of a cylindrical shock wave in a rotational axisymmetric isothermal flow of a non-ideal gas in magnetogasdynamics (presented in national conference, 24-25 June 2011, DDU GKP University)
- G. Nath, Self-similar solution of cylindrical shock wave propagation in a rotational axisymmetric mixture of a non-ideal gas and small solid particles (presented in ISMAMS, 22-23 Feb. 2013)
- G. Nath, Unsteady isothermal flow behind a magnetogasdynamic shock wave in a self-gravitating gas with exponentially varying density (presented in ISMAMS, 21-22 Feb. 2014)
- G. Nath and J P Vishwakarma, Propagation of a strong spherical shock wave in a gravitating or non-gravitating dusty gas with exponentially varying density (presented in national conference of ISMAMS and DDU, 21-22 Feb. 2014, DDU GKP University)
- G. Nath and A. K. Sinha, Unsteady isothermal flow of a non-ideal gas behind a spherical shock wave in magnetogasdynamic under a gravitational field (presentation in AMES- 2014, 29-30 Nov. 2014, MNNIT, Allahabad)
- G. Nath, Cylindrical shock wave in a rotational axisymmetric non-ideal dusty gas with increasing energy in the presence of conductive and radiative heat fluxes (presentation in 102nd Indian Science Congress, 3-7 Jan.2015, Mumbai University)
- G. Nath, Spherical shock wave in mixture of non-ideal gas and small solid particles under the influence of gravitational field with conductive and radiative heat fluxes (presentation in NCRTMS-16, 12-13 April 2016, MMM University of Technology, Gorakhpur)
- G. Nath, Magnetogasdynamics shock waves in a rotational axisymmetric non-ideal gas with increasing energy and conductive and radiative heat-fluxes (presentation in NCRTMS-16, 23-24 July 2016, DDU GKP University, Gorakhpur)
- G Nath, Self-similar solution for unsteady flow behind an exponential shock in an axisymmetric rotating dusty gas (presentation in 32nd Annual Conf. of "The Mathematical Society, BHU" on "Recent Trends in Mathematical Analysis and Its Applications" during, 17-18 February 2017 at BHU)

**Award and Honors:**- Listed name in 2% Worlds Scientist/Researcher Published by Standford University; Stanford, California, United States, in 2020, 2021, 2022 and 2023
- Outstanding Reviewer Award: December 2017 by the Editors of COMPUTERS AND MATHEMATICS WITH APPLICATIONS, Elsevier, Amsterdam, The Netherlands
- Outstanding Reviewer Award: April 2017 by the Editors of AIN SHAMS ENGINEERING JOURNAL, Elsevier, Amsterdam, The Netherlands
- IASc-INSA-NASI- Summer Research Fellow 2012 (2 Months), to work with Prof. G. Jadeesh, Dept. of Aerospace Engineering, Indian Institute of Science, Banglore
- IASc-INSA-NASI - Summer Research Fellow 2010 (2 Months), to work with Prof. B.S. Dhandapat, Indian Statical Institute, Kolkata
- IASc-INSA-NASI - Summer Research Fellow 2010 (2 Months), to work with Prof. B.S. Dhandapat, Indian Statical Institute, Kolkata
- Senior Research Fellowship by UGC New Delhi from July 2005 to June 2006.
- Junior Research Fellowship by UGC New Delhi from July 2003 to June 2005.

**Conferences/ Workshops/Symposium/ Short-term Courses Organized:**- Organizing Secretary of 11th National Conference of ISMAMS on Role of Mathematical Science and Technology, Jointly Organized by Department of Mathematics, DDU Gorakhpur, University and ISMAMS, at DDU GKP University, During 21-22, Feb. 2014
- Joint Organizing Secretary of National Conference Application of Mathematics in Engineering and Sciences (AMES-2014), Organized by Department of Mathematics, MNNIT, Allahabad, during 29-30 Nov. 2014.
- Convener of National Conference on "Recent Trends in Mathematical Sciences" Organized by Department of Applied Science (Mathematics), MMM University of Technology, Gorakhpur, during 12-13 April 2016.
- Coordinator of One Week Short Term Course on Role of Mathematical Sciences in Engineering and Technology (RMSET-2016), Organized by Department of Mathematics, MNNIT, Allahabad, During October 19-23, 2016,
- Convener of National Mathematics Day Seminar on 22 December 2016, Organized by the Department of Mathematics, MNNIT Allahabad.
- Coordinator of One Day National Seminar on Soft Computing in Bio-Science and Bio-Engineering, Organized by Department of Mathematics, MNNIT, Allahabad, on March 22, 2017
- Coordinator of National Workshop on Emerging Trends in Mathematical Modelling and Computing (ETMMAC-2017), Organized by Department of Mathematics, MNNIT, Allahabad, During March 23-25, 2017
- Coordinator of one week Short Term Course (STC) on “Numerical Techniques for Scientific Computations (NTSC-2019) during 15-19 July, 2019 at KNIT Sultanpur, Jointly organized by Department of Applied Sciences and Humanities, KNIT, Sultanpur and Department of Mathematics, MNNIT Allahabad sponsored by TEQIP-III.
- Organizing Secretary of International conference on Technologies and Innovations for Sustainable Development (TISD-2023), During 27/10/2023 to 29/10/2023, Organized by Central Library MNNIT Allahabad.

**On-going Projects:**- Role of small solid particles to control the damage due to strong explosion (Project ID: 2600), sanctioned by CSTUP via Ref. No.: CST/D-1522, Dated 26/10/2023, Rs 11.36 lakhs, Ongoing since 23/12/2023

**Projects Completed:**- Shock waves in dusty and non-dusty medium, Rs. 1, 28, 448/- Funded by MNNIT Allahabd for 2 years, 2012-2014, Completed.

**Overseas Assignments:**- Foreign Academic Visit- Participated in the VIII -Internal Conference on Fluid Mechanics, Heat Transfer and Thermodynamics, January 15- 17, 2012, Zurich, Switzerland
- Participated in International Congress of Mathematicians (ICM 2014), during 13-21 August 2014, Coex, Seoul, South Korea
- Participated in Asia-Pacific Regional IAU Meeting, 3-7 July 2017, Taipei, Taiwan

**Reviewer for Transactions / Journal / Conferences:**- Worked as reviewer of the journals- Journal Heat and Mass Transfer (Springer) three times SCI
- Physics of Fluid, Five times SCI, J., AIP
- Ain Shams Engineering Journal, Elsevier Science, Six times
- European Physical Journals B/Fluids, SCI, Elsevier Science
- Physica Scripta, two times, IOP, UK, SCI, Journal
- Acta Astronautica, SCI, J., three times Elsevier Science
- Int. Journal of Nonlinear Sci. Numerical Simulation SCI, De Gruyter
- Chinese Journal of Physics, SCI, J., Ten times Elsevier Science
- Meccanica, Four times SCI, Springer
- Astrophysics and Space Science, SCI, J., Springer, four times
- Advances in Space Research, two times SCI, J., Elsevier Science
- Bulletin of the Malaysian Mathematical Sciences Society, SCI
- Journal of Astrophysics and Astronomy, SCI J., Springer
- Shock Waves, SCI Springer
- Zeitschrift fÃ¼r Naturforschung A - A Journal of Physical Sciences, De Gruyter four times
- Fluid Dynamic Research, IOP UK
- International Journal of Multiphase Flow, SCI, Springer
- Experiment in Fluid, Springer Nature, SCI
- J. of Applied Mathematics, two times Hindawi Publisher, USA
- Modell. Meas. Control B, ASME, France
- Mathematical and Computational Application, SCIE. Journal
- Journal of Astrophysics, Hindawi Publisher, USA
- Journal of Applied Fluid Mechanics, Five times SCIE, Publisher: Isfahan University of Technology
- ASME Two times Journal of Computational and Nonlinear Dynamics,SCI
- Geophysical and Astrophysical Fluid Dynamics, SCI
- Computer & Mathematics with Application, SCI, Elsevier Science
- Int. J. Appl. Comput. Math. Springer
- Mathematical Modeling and Analysis, SCI
- Mathematical Method in the Applied Sciences, four times SCI, John Wiley & Sons Ltd
- Engineering Science and Technology, an International Journal, SCI-Mago, Elsevier Science
- Indian Journal of Physics, two times, SCIE Springer
- Journal of the Brazilian Society of Mechanical Science and Engineering SCI, Springer
- Proc. Natl. Acad. Sci., India, Sec. A: Phys. Sci., SCIE two times Springer
- Journal of Differential Equation and Dynamical System
- International Journal of Heat and Technology, Scopus, SCImago (SJR)
- Mathematical Modelling of Engineering Problems (MMEP) Scopus, SCImago
- Advances in Differential Equation, SCI, Springer
- Proceedings of the Royal Society A, SCI
- Wave in Random and Complex Media, SCI, Taylors & Francis
- Ricerche di Matematica (RIDM), SCI, Springer, two times
- Mathematics and Computers in Simulation, SCI, Elsevier Science
- Universe Journal, MDPI Publication SCI
- Heat and Transfer Wiley
- International Journal of Computer Mathematics, Taylor & Francis
- National Academy Science Letters, Springer, SCI
- Scientific Reports, Springer Nature, SCI
- Communication in Nonlinear Sci. Numerical Simulation, SCI
- Modern Physics Letters B (MPLB), Two times SCI, World Scientific Publishing
- International Journal of Nonlinear Mechanics, SCI
- Plasma Physics, SCI AIP
- Physica-D Nonlinear phenomenon, SCI
- J. of Eng. Mathematics, SCIE

**Other Significant Achievements:**- Journal of Mechanical Engineering and Automations, Scientific & Academic Publishing, USA, http://journal.sapub.org/jmea ISSN: 2163-2405, Since 2011
- Guest Editor: in 2023, For Special Issue of Symmetry Journals, MDPI, Impact Factor = 2.7, SCI, Quartile:Q2
- Research results published in news papers in abroad by high beam research- Journal of Engineering; July 1, 2009 Vishwakarma and Colleagues, Reports from DDU Gorakhpur University advance knowledge in mechanical engineering.
- Science Letter; May 18, 2010; Scientists at DDU Gorakhpur University publish research in physics. (J.P. Vishwakarma and colleagues (G Nath))
- Physics Week, G Nath update knowledge of astronomy and astrophysics, July 6, 2010 in newspaper
- Defense & Aerospace Week, G. Nath, Research from NIT Provides new data about aerospace research, April 3, 2012 in newspaper
- Defense & Aerospace Week, G. Nath, Study Results from National Institute of Technology Broaden Understanding of Aerospace Research, November 6, 2013
- Journal of Technology; July 8, 2014, Researchers at National Institute of Technology Have Reported New Data on Shock Research
- Journal of Engineering; July 15, 2015, New Findings Reported from Motilal Nehru National Institute of Technology Describe Advances in Mechanical Engineering