Continuum models for surface growth

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As an introductory lecture to the workshop an overview is given over continuum models for homoepitaxial surface growth using partial differential equations (PDEs). Their heuristic derivation makes use of inherent symmetries in the physical process (mass conservation, crystal symmetry,...) which determines their structure. Two examples of applications are given, one for large scale properties, one including crystal lattice discreteness. These are: (i) a simplified model for mound coarsening and (ii) for the transition from layer-by-layer to rough growth. Virtues and shortcomings of this approach is discussed in a concluding section.