MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Time Discretisation for a Class of Singular Phase Field Models

André Schlichting


This paper is motivated by the work of Bonetti, Colli, Fabrizio and Gilardi (J. Differential Equations 2009;246;3260-3295), which treats the mathematical analysis of a thermomechanical model describing phase transitions in terms of the entropy and order structure balance law.

Our main purpose is to discretise this model in time, show the existence, uniqueness and boundedness of the order parameter $\chi$ for the discretised model. Finally, the paper gives a result on the convergence of the discretised model to the time continuous one.

Sep 4, 2009
Sep 24, 2009
MSC Codes:
35K60, 35Q99, 80A22

Related publications

2009 Repository Open Access
André Schlichting

Time discretisation for a class of singular phase field models

In: Advances in mathematical sciences and applications, 19 (2009) 2, pp. 665-700