BOUNDARY DYNAMICS OF A TWO-DIMENSIONAL DIFFUSIVE FREE BOUNDARY PROBLEM
| dc.contributor.author | Webster, Micah | |
| dc.contributor.author | Guidotti, Patrick | |
| dc.contributor.department | Mathematics | en_US |
| dc.contributor.program | Center for Data, Mathematical, and Computational Sciences | en_US |
| dc.date.accessioned | 2017-07-27T00:01:17Z | |
| dc.date.available | 2017-07-27T00:01:17Z | |
| dc.date.issued | 2010-02 | |
| dc.description.abstract | Numerous models of industrial processes such as diffusion in glassypolymers or solidification phenomena, lead to general one-phase free boundary value problems with phase onset. In this paper we develop a framework viable to prove global existence and stability of planar solutions to one such multi-dimensional model whose application is in controlled-release pharmaceuticals. We utilize a boundary integral reformulation to allow for the use of maximal regularity. To this effect, we view the operators as pseudo-differential and ex-ploit knowledge of the relevant symbols. Within this framework, we give a local existence and continuous dependence result necessary to prove planar solutions are locally exponentially stable with respect to two-dimensional perturbations. | en_US |
| dc.format.extent | 24 pages | en_US |
| dc.genre | journal articles | en_US |
| dc.identifier | doi:10.13016/M2CC0TT2H | |
| dc.identifier.citation | M. Webster, P. Guidotti, “Boundary dynamics of a two-dimensional diffusive free boundary problem,” Discrete and Continuous Dynamical Systems-Series A, Vol. 26 (2) 2010, 713-736. | en_US |
| dc.identifier.uri | http://hdl.handle.net/11603/4378 | |
| dc.language.iso | en_US | en_US |
| dc.subject | Free Boundary Problem | en_US |
| dc.subject | Maximal Regularity | en_US |
| dc.subject | Well-Posedness | en_US |
| dc.subject | Non- Regular Pseudodifferential Operators | en_US |
| dc.title | BOUNDARY DYNAMICS OF A TWO-DIMENSIONAL DIFFUSIVE FREE BOUNDARY PROBLEM | en_US |
| dc.type | Text | en_US |