We introduce the notion of maximal solutions of a class of moving boundary problems in the sense that we characterize what inhibits global existence of solutions. The technique is demonstrated on a model describing the growth of an avascular tumor. Further applications of the main result will be given elsewhere.
Cite this article
Friedrich Lippoth, On the blow-up mechanism of moving boundary problems. Interfaces Free Bound. 13 (2011), no. 3, pp. 423–435DOI 10.4171/IFB/266