Associate Professor of Applied Mathematics
Associate Director, VI-MISS, ICERM
 
   
     
 
 

Publications

G. Menon, Gevrey class regularity for the attractor of the laser equations. Nonlinearity, 12 , 1999, 1505-1510.

 

G. Haller, G. Menon and V. Rothos, Silnikov manifolds in coupled nonlinear Schrodinger equation. Phys. Lett. A, 263 , 1999, 175-185.

 

G. Menon, G.H. Paulino and S. Mukherjee, Analysis of hypersingular residual error estimates in boundary element methods for potential problems. Comput. Methods. Appl. Mech. Engrg., 173 , 1999, 449-473.

 

G. Menon and G. Haller, Infinite-dimensional geometric singular perturbation theory for the Maxwell-Bloch equations, SIAM J. Math. Anal.,33 , 2001, 315-346.

 

G.H. Paulino, G. Menon and S. Mukherjee, Error estimation using hypersingular integrals in boundary element methods for linear elasticity. Engineering Analysis with Boundary Elements, 25, 2001, pp.523-534.

 

G. Menon, Gradient systems with wiggly energies and related averaging problems. Arch. Rational. Mech. Anal., 162 , 2002, 193-246.

 

G. Menon and R.L.Pego, Approach to self-similarity in Smoluchowski's coagulation equations. Comm. Pure. Appl. Math, 57 , 2004, 1197-1232 .

 

G. Menon and F. Otto, Dynamic scaling in miscible viscous fingering. Comm. Math. Phys, 257 , 2005, 303-317.

 

G. Menon and R.L. Pego, Dynamic scaling in Smoluchowski's coagulation equation: uniform convergence. SIAM J. Math. Anal., 36, 2005, 1629-1651.

 

G. Menon and F. Otto, Diffusive slowdown in miscible viscous fingering. Comm. Math. Sci, 4 , 2006, 257-273.

 

G. Menon and R.L. Pego, Dynamic scaling in Smoluchowski's coagulation equation: uniform convergence. SIAM Review, 48, 2006, 748-768.

 

G. Menon and R.L.Pego, Universality classes in Burgers turbulence. Comm. Math. Phys., 273, 2007, 177-202.

 

G. Menon, Mathematical approaches to dynamic scaling. J. Non-Newtonian Fluid Mech., 152, 2008, 113-119.

 

G. Menon and R.L. Pego, The scaling attractor and ultimate dynamics for Smoluchowski's coagulation equations, J. Nonlinear Sci., 18, 2008, 143-190.

 

G. Menon, B. Niethammer and R.L. Pego, Dynamics and selfsimilarity in min-driven clustering, Trans. AMS, 362 , 2010, 6591-618.

 

G. Menon and R. Srinivasan, Kinetic theory and Lax equations for shock clustering and Burgers turbulence, J. Stat. Phys., 140 , 2010, 1195-1223.

 

G. Menon and M. Hadzic, Gradient flow structure for domain relaxation in Langmuir films, Quart. App. Math., accepted 2010, (in press).

 

G. Menon, Complete integrability of shock clustering and Burgers turbulence, Arch. Rat. Mech. Anal., 2011, doi: 10.1007/00205-011-0461-8.

 

G. Menon, Lesser known miracles of Burgers equation, Acta Mathematica Scientia, accepted 2011, (in press).

 

S.Pandey, M. Ewing, A. Kunas, N. Nguyen, D.H. Gracias and G. Menon, Algorithmic design of self-folding polyhedra, Proc. Natl. Acad. Sci., 2011, doi: 10.1073/pnas.1110857108.

 

 

Abstracts

 

G. Menon and R.L. Pego, Scaling dynamics for solvable coagulation equations with dust and gel, Proc. App. Math. Mech, 7, 2007, 10429011042902

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G. Menon, A kinetic theory of shock clustering in scalar conservation laws, Oberwolfach Reports, 7, 2010, 1475-1478.