@ARTICLE{GaNiRuWe03, author = {Garcke, H. and Niethammer, B. and Rumpf, M. and Weikard, U.}, title = {Transient coarsening behaviour in the {C}ahn-{H}illiard model}, journal = {Acta Materialia}, year = {2003}, volume = {51}, pages = {2823--2830}, number = {10}, abstract = {We study two--dimensional coarsening by simulations for the Cahn--Hilliard model. A scale invariance of the sharp interface limit of this model suggests that the characteristic length scale grows proportional to t^1/3, respectively the energy density decreases as t^-1/3. We compare the coarsening dynamics for different choices of data for different volume fractions. We observe that, depending on the specific data, the coarsening process can over a large time window be much slower than expected by dimensional analysis.}, pdf = {http://numod.ins.uni-bonn.de/research/papers/public/GaNiRuWe03.pdf} }