Interface stability analysis of a gel material surrounded by air

Carlos A. Garavito Garzon; M. Carme Calderer; Satish Kumar

doi:10.1557/opl.2015.183

Interface stability analysis of a gel material surrounded by air

Carlos A. Garavito Garzon, M. Carme Calderer, Satish Kumar

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

We study the stability of small amplitude harmonic perturbation at the interface of a gel material surrounded by air. The equations describing the system's dynamics are solved using classical perturbation methods. Assuming that the amplitude decays over time, we establish conditions for the system to return to its equilibrium state. The proposed model includes the effect of the boundary conditions and can be extended to more general situation in which the material is surrounded by an arbitrary fluid.

Original language	English (US)
Title of host publication	Mathematical and Computational Aspects of Materials Science
Editors	F. Otto, D. Margetis, C. Calderer, R. Lipton
Publisher	Materials Research Society
Pages	78-83
Number of pages	6
ISBN (Electronic)	9781510806283
DOIs	https://doi.org/10.1557/opl.2015.183
State	Published - 2015
Event	2014 MRS Fall Meeting - Boston, United States Duration: Nov 30 2014 → Dec 5 2014

Publication series

Name	Materials Research Society Symposium Proceedings
Volume	1753
ISSN (Print)	0272-9172

Other

Other	2014 MRS Fall Meeting
Country/Territory	United States
City	Boston
Period	11/30/14 → 12/5/14

Bibliographical note

Publisher Copyright:
© 2015 Materials Research Society.

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10.1557/opl.2015.183

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Garavito Garzon, C. A., Calderer, M. C., & Kumar, S. (2015). Interface stability analysis of a gel material surrounded by air. In F. Otto, D. Margetis, C. Calderer, & R. Lipton (Eds.), Mathematical and Computational Aspects of Materials Science (pp. 78-83). (Materials Research Society Symposium Proceedings; Vol. 1753). Materials Research Society. https://doi.org/10.1557/opl.2015.183

Interface stability analysis of a gel material surrounded by air. / Garavito Garzon, Carlos A.; Calderer, M. Carme; Kumar, Satish.
Mathematical and Computational Aspects of Materials Science. ed. / F. Otto; D. Margetis; C. Calderer; R. Lipton. Materials Research Society, 2015. p. 78-83 (Materials Research Society Symposium Proceedings; Vol. 1753).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Garavito Garzon, CA, Calderer, MC & Kumar, S 2015, Interface stability analysis of a gel material surrounded by air. in F Otto, D Margetis, C Calderer & R Lipton (eds), Mathematical and Computational Aspects of Materials Science. Materials Research Society Symposium Proceedings, vol. 1753, Materials Research Society, pp. 78-83, 2014 MRS Fall Meeting, Boston, United States, 11/30/14. https://doi.org/10.1557/opl.2015.183

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Interface stability analysis of a gel material surrounded by air

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