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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 (www.arxiv.org) 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
32/2000

Variational formulation for the lubrication approximation of the Hele-Shaw flow

Lorenzo Giacomelli and Felix Otto
Received:
May 9, 2000
Published:
May 9, 2000
MSC Codes:
35A15, 49J45, 35K25, 35K55, 35K65, 35R35, 76D27, 76D08, 76A20
Keywords:
variational methods, gamma-convergence, higher order nonlinear degenerate parabolic equations, free boundary problems, hele-shaw flow, lubrication theory, thin fluid films

Related publications

inJournal
2001 Repository Open Access
Lorenzo Giacomelli and Felix Otto

Variational formulation for the lubrication approximation of the Hele-Shaw flow

In: Calculus of variations and partial differential equations, 13 (2001) 3, pp. 377-403