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