- Approximate controllability results for viscoelastic flows with infinitely many relaxation modes, Debanjana Mitra, Mythily Ramaswamy, Michael Renardy, Journal of Differential Equations, Vol 264, 2, 575-603, 2018.
- Interior local null Controllability of one dimensional Compressible flow near a constant steady state, Debanjana Mitra, Mythily Ramaswamy and Michael Renardy, Mathematical Methods in Applied Sciences 2016, DOI : 10.1002/mma.4238, page 1-34. [pdf file ]
- Approximate Controllability results for Linear visco-elastic flows, Shirshendu Chowdhury, Debanjana Mitra, Mythily Ramaswamy and Michael Renardy, Journal of Mathematical Fluid Mechanics, 2016, DOI : 10.1007/s00021-016-0292-3, pages 1-21. [ link ]
- Local stabilization of Compressible Navier-Stokes equations in one dimension around nonzero velocity, Debanjana Mitra, Mythily Ramaswamy and Jean-Pierre Raymond, Advances in Diff. Equns. Vol 22, No. 9-10, 2017, 693-736. [ link ]
- Radial Symmetry on three dimensional shells in the Landau-De Gennes Theory, Giacomo Canevari, Mythily Ramaswamy and Apala Majumdar, Physica D 314 (2016), 18–34. [pdf file ]
- Largest space for the stabilizability of the linearized compressible Navier-Stokes system in one dimension, Debanjana Mitra, Mythily Ramaswamy and Jean-Pierre Raymond, Math. Control Relat. Fields, 5 (2015), no. 2, 259-290. [pdf file ]
- Local Stabilization of Compressible Navier Stokes System around a null velocity in One Dimension, Shirshendu Chowdhury, Debayan Maity, Mythily Ramaswamy and Jean-Pierre Raymond, Jl Differential Equns, 259 (2015) 371-407. [pdf file ]
- Uniqueness of positive radial solutions for a class of semipositone problems on the exterior of a ball, Eunkyoung Ko, Mythily Ramaswamy and R. Shivaji, Jl Math. Analysis and Applications, 423 (2015), no. 1, 399–409. [pdf file ]
- Null Controllability of the Linearized Compressible Navier Stokes System in One Dimension, Shirshendu Chowdhury, Debanjana Mitra, Mythily Ramaswamy and Michael Renardy, J. Diff. Equns, 257 (2014) , page 3813--3849. [pdf file ]
- Uniqueness and profile of positive solutions of a critical exponent problem with Hardy potential, Mythily Ramaswamy and Sanjiban Santra, J. Diffl. Equns, 254 (2013), page 4347-4372. [pdf file ]
- Optimal Control of Linearized Compressible Navier-Stokes Equations, Shirshendu Chowdhury and Mythily Ramaswamy, ESIAM : COCV - Control, Optimization and Calculus of Variations, 19(2013), page 587-615. [pdf file ]
- Controllability and Stabilizability of linearized Compressible Navier Stokes System in one dimension, Shirshendu Chowdhury, Mythily Ramaswamy and Jean-Pierre Raymond, SIAM Jl. Control and Optim., Vol 50, N0. 5 (2012), page 2959-2987. [pdf file ]
- Variational data assimilation for discrete Burgers equation, Amit Apte, Didier Auroux and Mythily Ramaswamy , Proceedings of the Eighth Mississippi State-UAB Conference on Differential Equations and Computational Simulations, 15–30, Electron. J. Differ. Equ., 19, 2010, [ps file | pdf file ]
- Weighted eigenvalue problems with weights in Lorentz spaces, T.V.Anoop, M. Lucia and Mythily Ramaswamy, Calc. Var. Partial Differential Equations 36 (2009), no. 3, 355-376. [ps file |pdf file ]
- Construction of Approximate Optimal Strategies for Differential Games in a Hilbert Space, Mythily Ramaswamy and A. J. Shaiju Journal of Optimization Theory and Applications, vol 141, 2, 2009, page 349-370. [ps file |pdf file ]
- Symmetry of solutions of elliptic equations via maximum principles, F. Pacella and Mythily Ramaswamy, Handbook of differential equations: stationary partial differential equations. Vol. VI,269--312, Elsevier/North-Holland, Amsterdam, 2008.
- Positive Solutions for a class of infinite semipositone problems, Mythily Ramaswamy, R.Shivaji,Jinglong Ye, Differential and Integral Equations, Volume 20, Number 12, 1423-1433, (2007). [ps file |pdf file ]
- Positive solutions for elliptic problems with critical indefinite nonlinearity in bounded domains, J.Giacomoni and J.Prajapat and Mythily Ramaswamy, Electronic Journal of Differential Equations, Conf. 15 (2007), 107-126. [ps file |pdf file ]

- Global Bifurcation for semilinear problems, Marcello Lucia and Mythily Ramaswamy, Recent advances in Nonlinear Analysis, Proceedings of the international conference on Nonlinear Analysis, Hsinchu, Taiwan, 20-25 November, 2006 , Ed. Chipot, C-S Lin, D-H Tsai,World Scientific, pp 197-216, (2007) [ps file |pdf file ]
- Multiple positive solutions for systems of elliptic systems with combined nonlinear effects,Jaffer Ali, R.Shivaji and Mythily Ramaswamy. Diff and Integ. Equns., Vol 19, No. 6 (2006), 660-680. [ps file | pdf file ]
- Zero Sum Differential games involving Hybrid Controls , Mythily Ramaswamy and Dharmatti Sheetal, Jl Optim. Th. Appl. Vol 128, No. 1, 2006, 75-102. [ ps file | pdf file]
- Uniqueness of Unbounded Viscosity Solutions for Impulse Control Problems, Jl. Math Anal. Applications, Vol 315,2, 2005, 686-710.Sheetal Dharmatti and Mythily Ramaswamy. [ ps file | pdf file]
- Hybrid Control and Viscosity Solutions, Sheetal Dharmatti and Mythily Ramaswamy. SIAM Jl Control and Optimization. vol 44, No 4, 2005, 1259-1288. [ ps file | pdf file]
- Positive Solution branch for elliptic problems with critical indefinite nonlinearity, J.Giacomoni, J. Prajapat and Mythily Ramaswamy. Diff. Integ Equns, 18, No.7, 2005, 721-764. [ ps file | pdf file]
- Sufficient structure conditions for uniqueness of fully nonlinear equations. G.Barles and Mythily Ramaswamy. NODEA. 12 , 2005, 503-523. [ ps file | pdf file]
- Multiple positive solutions for classes of $p-$ Laplacian equations, Mythily Ramaswamy and R.Shivaji . Diff. & Integ. Equns, 17, no.11-12,2004 1255-1261. [ ps file | pdf file]
- Generalized Hardy-Sobolev inequalities and exponential decay of the Entropy of $g(x)\partial u/\partial t =\Delta u $. Andreas Unterreiter and Mythily Ramaswamy. Monatsheft fur Mathematik , 143,No.1, (2004) 35-59. [ ps file | pdf file]
- Some elliptic indefinite problems on R^N, J.Giacomoni, M. Lucia and Mythily Ramaswamy. Proc. Royal Soc. Ed. A, 134, (2004) No. 2, 333-361. [ ps file | pdf file ]
- Self similar solutions of a generalized Burger's equation with nonlinear damping, P.L.Sachdev, Srinivasa Rao and Mythily Ramaswamy. Nonlinear Anal, Real world Appl. 4 (2003) No. 5, 723-741 .
- Apriori estimates for the solutions of subcritical problems on the CR sphere, J.Prajapat and Mythily Ramaswamy. Advanced Nonlinear Studies, 3, no. 3, 2003, 355--396. [ ps file | pdf file ]
- Radial singular solutions of a critical problem in a ball, J. Dolbeault, M.J. Esteban, M. Ramaswamy. Diff and Integ. Equns. 15 (2002), no. 12, 1459--1474 . [ ps file | pdf file]
- Analysis of the self similar solutions of nonplanar Burger's equation , P.L.Sachdev, Srinivasa Rao and Mythily Ramaswamy, Nonlinear Analysis, T, M & A. 51 (2002), no. 8, 1447--1472.
- An Improved Hardy-Sobolev inequality and its application, Adimurthi , N.Chaudhuri and Mythily Ramaswamy, Proc. Amer. Math. Soc., 130 (2002), 489-505. [ ps file | pdf file]
- Existence of Positive Solutions of Some Semilinear Elliptic Equations with Singular Coefficients, N.Chaudhuri and Mythily Ramaswamy, Proc. Royal Soc. Ed. 131 (2001), no. 6, 1275-1295.
- A strong maximum principle for a class of non positone singular elliptic problems, F. Pacella, L. Damascelli and M. Ramaswamy, Nonlinear Differential Equations and Applications, 10 (2003) 187 - 196 . [ ps file | pdf file ]
- Symmetry of C^1 solutions of p-Laplace Equations in R^N, L.Damascelli and Mythily Ramaswamy , Advances in Nonlinear Studies, vol. 1, 2001. [ ps file | pdf file]
- Symmetry of Ground States of p-Laplace Equations via the Moving Plane Method, L.Damascelli , F.Pacella and Mythily Ramaswamy, Arch. Ratl. Mech. Anal. 148 (1999) pp 291-308. [ ps file| pdf file]