Weak solutions of grain boundary motion model with singularity

Autor: Akio Ito, Nobuyuki Kenmochi, Noriaki Yamazaki
Jazyk: English<br />French<br />Italian
Rok vydání: 2009
Předmět:
Zdroj: Rendiconti di Matematica e delle Sue Applicazioni, Vol 29, Iss 1, Pp 51-63 (2009)
Druh dokumentu: article
ISSN: 1120-7183
2532-3350
Popis: We consider the grain boundary motion model of Kobayashi-WarrenCarter type, which arises in material sciences. The system, which consists of two nonlinear parabolic PDEs with singularity, is of the phase-field type. In this paper we show the global existence of solutions for our model in a weak variational sense.
Databáze: Directory of Open Access Journals