Geodesic
On the justification of the quasistationary approximation in the problem of motion of a viscous capillary drop
Vsevolod A. Solonnikov1
1Russian Acadademy of Sciences, St. Petersburg, Russian Federation
Interfaces and free boundaries, Tome 1 (1999) no. 2, pp. 125-173

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DOI

We prove that the free boundary problem governing the motion of an isolated liquid mass in the case of a small Reynolds number [egr] has a unique solution in a certain time interval (0, T0) independent of [egr] and we show that the difference of the solution and of the quasistationary approximation to the solution has order 0([egr]) for t [isin] (t0, T0) with arbitrary positive t0.
DOI : 10.4171/ifb/7
Classification : 46-XX, 60-XX
Mots-clés : Quasistationary approximation, viscous capillary drop

Vsevolod A. Solonnikov  1

1 Russian Acadademy of Sciences, St. Petersburg, Russian Federation 
Vsevolod A. Solonnikov. On the justification of the quasistationary approximation in the problem of motion of a viscous capillary drop. Interfaces and free boundaries, Tome 1 (1999) no. 2, pp. 125-173. doi: 10.4171/ifb/7
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     year = {1999},
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     number = {2},
     doi = {10.4171/ifb/7},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/7/}
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