Govind Menon, Publications

1. The scaling attractor and ultimate dynamics for Smoluchowski’s coagulation equations (with R.L. Pego). J. Nonlinear Sci., (in press), 2007.

2. Universality classes in Burgers turbulence, (with R.L. Pego). Comm. Math. Phys., 273, 2007, 177-202.

3. Mathematical approaches to dynamic scaling, J. Non-Newtonian Fluid Mech., doi:10.1016/j.jnnfm.2007.01.003.

4. Dynamical scaling in Smoluchowski’s coagulation equation: uniform convergence, (with R.L. Pego). SIAM Review, 48, 2006, 748–768.

5. Diffusive slowdown in miscible viscous fingering, (with F. Otto). Comm. Math. Sci , 4, 2006, 257-273.

6. Dynamical scaling in Smoluchowski’s coagulation equation: uniform convergence, (with R.L. Pego). SIAM J. Math. Anal., 36, 2006, 1629-1651.

7. Dynamic scaling in miscible viscous fingering, (with F. Otto). Comm. Math. Phys., 257, 2005, 303-317.

8.Approach to self-similarity in Smoluchowski’s coagulation equations, (with R.L. Pego) Comm. Pure. Appl. Math, 57, 2004, 1197-1232.

9. Gradient systems with wiggly energies and related averaging problems. Arch. Rational. Mech. Anal., 162, 2002, 193–246.

10. Infinite dimensional geometric singular perturbation theory for the Maxwell-Bloch equations, (with G. Haller). SIAM J. Math. Anal., 33, 2001, 315–346.

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

12. Silnikov manifolds in coupled nonlinear Schrödinger equation, (with G. Haller and V. Rothos). Phys. Lett. A, 263, 1999, 175–185.

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

14. Gevrey class regularity for the attractor of the laser equations. Nonlinearity, 12, 1999, 1505–1510.