Vishnu Dutt Sharma
Department : Mathematics
Research Interests
● Quasilinear systems of partial differential equations
● Conservation laws
● Nonlinear gasdynamic and shallow water waves
● Lie group invariance for solutions of PDEs
Professional Summary
Visiting Professor, Indian Institute of Technology Gandhinagar (2019 – Present)
Emeritus Fellow Department of Mathematics, IIT Bombay (Nov 2017 to present)
Visiting Professor, (on Deputation from IITB) in Autumn Semesters at IIT Goa (2017)
Visiting Professor, (on Deputation from IITB) in Autumn Semesters at IIT Gand- hinagar (2010)
Institute Chair Professor, Department of Mathematics, IIT Bombay (Feb 2015 – Oct 2017)
Convener, Senate Nominations Committee, IIT Bombay, (2010)
Institute Chair Professor, Department of Mathematics, Indian Institute of Technology, Bombay (Dec 2009 – Dec 2012)
Head, Department of Mathematics, Indian Institute of Technology, Bombay (Jan 2003 – Dec 2006)
Convener of Postgraduate, Academic Performance Evaluation Committee (PGAPEC), Indian Institute of Technology, Bombay (Mar 2001 – Dec 2002)
Head, Department of Mathematics, Indian Institute of Technology, Bombay (Nov 1996 – Feb 2000)
Professor, Indian Institute of Technology, Bombay (Mar 1988 – present)
Reader, Banaras Hindu University (now IIT BHU) (Nov 1983 – Mar 1988)
Lecturer, Banaras Hindu University (now IIT BHU) (Sep 1972 – Nov 1983)
Publications
1. Triveni P. Shukla and V.D. Sharma, “Evolution equation for wave amplitude exhibiting quartic nonlinearity”, Math. Methods Appl. Sci. 41, (2018) 9422-9440.
2. Zafar, M. and Sharma, V. D., “Classification of the Riemann problem for compressible two-dimensional Euler system in non-ideal gas, Nonlinear Analysis Real World Applications (Elsevier) 43, (2018) 245-261.
3. Triveni P. Shukla and V.D. Sharma, “Under-compressive shock waves in Hall MHD, Mathematical Methods in Applied Sciences (Wiley) 41(2018), 4360-4375.
4. Triveni P. Shukla, G. Madhumita, and V.D. Sharma, “Evolution of planar and cylindrically symmetric magneto-acoustic waves in a van der Waals fluid”, accepted for publication in International Journal of Non-Linear Mechanics (Elsevier), 91 (2017), 58-68.
5. ANUPAM SEN, T. RAJA SEKHAR, and V. D. SHARMA, “Wave interactions and stability of the Riemann solution for a strictly hyperbolic system of conservation laws”, QUARTERLY OF APPLIED MATHEMATICS (USA), VOLUME LXXV, Nr. 3 (2017), 539–554.