%0 Journal Article %T Completeness in Partial Differential Fields %A James Freitag %J Mathematics %D 2011 %I arXiv %X We study completeness in partial differential varieties. We generalize many results from ordinary differential fields to the partial differential setting. In particular, we establish a valuative criterion for differential completeness and use it to give a new class of examples of complete partial differential varieties. We use methods from both differential algebra and model theory. %U http://arxiv.org/abs/1106.0703v2