Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Linear wellposedness of the evolution equation of a mixing strip of two fluids with initially sharp interface in a porous medium


Authors: Jean Duchon and Raoul Robert
Journal: Quart. Appl. Math. 61 (2003), 723-730
MSC: Primary 76S05; Secondary 35B30, 35Q35, 76D03
DOI: https://doi.org/10.1090/qam/2019620
MathSciNet review: MR2019620
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Abstract | References | Similar Articles | Additional Information

Abstract: An illposed sharp interface equation, describing the evolution of two well separated fluids in a porous medium, is replaced by a linearly wellposed Cauchy problem for the evolution of a mixing strip described in terms of the level curves of the volume proportion of one fluid.


References [Enhancements On Off] (What's this?)

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DOI: https://doi.org/10.1090/qam/2019620
Article copyright: © Copyright 2003 American Mathematical Society


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