Journal article

Asymptotics of violent surface motion

Abstract:: The very fact that the motion of a free boundary is violent can be of considerable value in analysing the mathematical models of its evolution. For example the smallness of the angle between the undisturbed free surface of a liquid and an impacting smooth solid almost allows the problem to be formulated as a classical 'mixed boundary value' problem. This paper gives an informal review of several such configurations and indicates where the violence of the motion enables asymptotic analysis to give new insight, both qualitatively and quantitatively. However, many of these situations are in practice irreversible and we will explain why this can cause severe difficulties with the mathematics.

Publication status:: Published

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APA Style

Chapman, S., Gillow, K., Howison, S., & Ockendon, J. (1997). Asymptotics of violent surface motion. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 355(1724), 679–685.

MLA Style

Chapman, S., et al. “Asymptotics of Violent Surface Motion.” PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 355, no. 1724, 1997, pp. 679–85.

Chicago Style

Chapman, S, K Gillow, S Howison, and J Ockendon. 1997. “Asymptotics of Violent Surface Motion.” PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES 355 (1724): 679–85.
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Authors

+ Chapman, S More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

+ Gillow, K More by this author

Role:: Author

+ Howison, S More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

+ Ockendon, J More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

Journal:: PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES More from this journal
Volume:: 355
Issue:: 1724
Pages:: 679-685
Publication date:: 1997-03-15
ISSN:: 1364-503X

Pubs id:: pubs:1531
UUID:: uuid:754e3e13-ae7e-4294-bfea-aa576c20807b
Local pid:: pubs:1531
Source identifiers:: 1531
Deposit date:: 2012-12-19

Terms of use

Copyright date:: 1997

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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