Variational approach to evolutionary free boundary problems

The analysis of evolutionary nonlocal problems represented by volume–constrained motion is discussed. In the physical sense, these problems can describe the motion of droplets on a solid plane. The variational approach called the discrete Morse flow combined with a fluid-dynamics model appears to be...

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Bibliographic Details
Published in:Nonlinear analysis 2009-12, Vol.71 (12), p.e1547-e1552
Main Authors: Omata, Seiro, Kazama, Masaki, Nakagawa, Hideaki
Format: Article
Language:English
Subjects:
Coupled model
Droplets
Evolutionary
Free boundaries
Free boundary
Mathematical models
Nonlinearity
Numerical solution
Partial differential equation of hyperbolic type
Planes
Variational method
Volume constraint
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Summary:The analysis of evolutionary nonlocal problems represented by volume–constrained motion is discussed. In the physical sense, these problems can describe the motion of droplets on a solid plane. The variational approach called the discrete Morse flow combined with a fluid-dynamics model appears to be a suitable tool.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2009.01.231