Manoj Kumar Yadav Assistant Professor Department of Mathematics

Dr. Manoj kumar Yadav is an Assistant Professor at MEC's School of Natural Sciences. His Research interest is in Analysis and computation of nonlinear partial di essential equations describing evolution processes. A Symptotic and applied analysis, Homogenization of Porous Media Flows and Composite Materials, Multiscale Modelling. He published various research papers along with contributing in various talks in India and abroad.

  • Education

    1998-2001 - B.Sc. Mathematics - Kalyani University

    2001-2003 - M.Sc. Mathematics - Kalyani University

    2005-2010 - Ph.D. Mathematics - IIT Madras

    2010-2012 - Post Doctorate Mathematics - IISc Bangalore

  • Publications

    Research Publications

    1. Manoj K. Yadav, Solutions of a system of forced Burgers equation in terms of generalized Laguerre polynomials, Acta Math. Sci. Ser. B Engl. Ed. 34B (5), 1461-1472, 2014.
    2. Manoj K. Yadav, Solutions of a system of forced Burgers equation, Appl. Math. Comp. 225, 151-157, 2013.
    3. Ch. Srinivasa Rao, Manoj K. Yadav, Large time behaviour of solutions of the inviscid non-planar Burgers equation, J. Engrg. Math. 69, 345-357, 2011.
    4. Ch. Srinivasa Rao, Manoj K. Yadav, Solutions of a nonhomogeneous Burgers equation, Stud. Appl. Math. 124 (4), 411-422, 2010.
    5. Ch. Srinivasa Rao, Manoj K. Yadav, Solution of an initial boundary value prob-lem for non-planar Burgers equation using Hermite interpolants, Int. J. Nonlin-ear Sci., 9 (2), 159-164, 2010.
    6. Ch. Srinivasa Rao, Manoj K. Yadav, Large time asymptotics for solutions of a nonhomogeneous Burgers equation, Appl. Math. Mech. (English Edition), 31 (9), 1189-1196, 2010.
    7. Ch. Srinivasa Rao, Manoj K. Yadav, On the solution of a nonhomogeneous Burgers equation, Int. J. Nonlinear Sci., 10 (2), 141-145, 2010.

    Articles Communicated

    1. Michal Benes, Ales Nekvinda, Manoj K. Yadav, Multi-time step Domain Decom-position Method with non-matching grids for parabolic problems, Submitted
    2. Ch. Srinivasa Rao, Manoj K. Yadav, Self-similar solutions of a generalized Burgers equation involving p-Laplacian, Submitted.
  • Experience

    Teaching Experience

    1. Teaching experience (July 2013 - December 2013) at National Institute of Technology, Warangal. Courses Taught : Mathematics I.
    2. Teaching experience (July 2012 - January 2013) at Jaypee University of In-formation Technology, Solan. Courses Taught : Mathematics II, Numerical Techniques.
    3. Teaching Assistantships for the courses Ordinary Di erential Equations, Partial Di erential Equations, Dynamical Systems, Numerical Analysis of Di erential Equations, Linear Algebra and Numerical Analysis at the De-partment of Mathematics, IIT Madras. As part of the teaching assistantships I have conducted tutorial classes, delivered special lectures and graded test papers.
    4. Tutor for the lecture series Basic theory of ODEs delivered by Dr. Ch. Srinivasa Rao at the Third Annual Foundation School - Part I held at IMSc Chennai during 4th Dec to 30th Dec 2006.
    5. Tutor at QIP-STTP on Harmonic Analysis and Partial Di erential Equa-tions held during 1st Jan 2007 to 12th Jan 2007, Department of Mathematics, IIT Madras. I have delivered four lectures (one hour each) on \Basic theory of conservation laws".

    Research Experience

    1. Worked with Professor P. L. Sachdev, Department of Mathematics, IISc Banga-lore on the project Asymptotic analysis of non-planar Burgers equation, March 2004 to December 2004.
    2. Worked with Dr. Ch. Srinivasa Rao, Department of Mathematics, IIT Madras on the project Asymptotic and Applied Analysis of some nonlinear parabolic PDEs, January 2005 to till date.
    3. Post Doctoral Research experience at the Department of Mathematics, IISc Ban-galore, Analysis of nonlinear parabolic PDEs, August 2010 to July 2012.
  • Others

    Seminars/Talks presented

    1. Contributed Talk \Large Time Behaviour of Solutions of an Inviscid Generalized Burgers Equation with Linear Damping". ICIAM 2011, Vancouver, Canada (July 19, 2011).
    2. Invited Talk \Approximate Solutions of PDEs using Hermite Interpolation". National Workshop on Computational Methods in Sciences and Engineering, National Institute of Technology, Warangal, India (November 25, 2013).
    3. Contributed Talk \Domain Decomposition Methods and Asynchronous Time Integration for Parabolic PDEs", Applied Analysis for Materials, BMS Summer School 2014, TU Berlin, Germany.

    Workshops/Conferences attended

    • Instructional School on Computational PDEs CPDE-05, held at the Department of Mathematics, IIT Bombay during June 5 to June 24, 2005.
    • Workshop and Conference on Multi - Scale Analysis and Homogenization, held at the Department of Mathematics, IISc Bangalore during June 28 to July 14, 2010.
    • International Congress of Mathematicians (ICM) 2010 Satellite Conference { PDE and Related Topics, held at TIFR CAM Bangalore, August 13 to August 17, 2010.
    • International Congress of Mathematicians (ICM) 2010 held at Hyderabad during August 19 to August 27, 2010.
    • International Congress on Industrial and Applied Mathematics (ICIAM) 2011 held at Vancouver, Canada during July 18 to July 22, 2011.
    • BMS Summer School 2014 on Applied Analysis for Materials held at TU Berlin, Germany during 25 August to 5 September, 2014.

    Other Professional Experiences

    1. Refereed research articles for SIAM Journal on Mathematical Analysis.