Ian Melbourne's Reprint List

Ginzburg-Landau Theory

1. I. Melbourne and G. Schneider. Phase dynamics in the complex Ginzburg-Landau equation. J. Diff. Eqns. 199 (2004) 22-46
   ( abstract, postscript file or pdf file )

2. I. Melbourne and G. Schneider. Phase dynamics in the real Ginzburg-Landau equation. Math. Nachr. 263-264 (2004) 171-180
   ( abstract, postscript file or pdf file )

3. I. Melbourne. Validity, universality and structure of the Ginzburg-Landau equation. Equadiff 99, International Conference on Differential Equations , (B. Fiedler et al. eds.) World Scientific, Singapore, 2000, 186-200
   ( abstract, postscript file or pdf file )

4. I. Melbourne. Ginzburg-Landau theory and symmetry. Review article. In: Nonlinear Instability, Chaos and Turbulence, Vol 2 , (L. Debnath and D. N. Riahi, eds.) Advances in Fluid Mechanics 25 WIT Press, Southampton, 2000, 79-109
   ( abstract, postscript file or pdf file )

5. I. Melbourne. Steady-state bifurcation with Euclidean symmetry. Trans. Amer. Math. Soc. 351 (1999) 1575-1603
   ( abstract, postscript file or pdf file )

6. I. Melbourne. Derivation of the time-dependent Ginzburg-Landau equation on the line. J. Nonlin. Sci. 8 (1998) 1-15
   ( abstract, postscript file or pdf file )

7. I. Bosch Vivancos, P. Chossat and I. Melbourne. New planforms in systems of partial differential equations with Euclidean symmetry. Arch. Rat. Mech. Anal. 131 (1995) 199-224
   ( abstract, postscript file or pdf file )