- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:02
Interfaces and Free Boundaries
Interfaces Free Bound.
IFB
1463-9963
1463-9971
Partial differential equations
Numerical analysis
Fluid mechanics
Biology and other natural sciences
10.4171/IFB
http://www.ems-ph.org/doi/10.4171/IFB
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
1
1999
2
On the justification of the quasistationary approximation in the problem of motion of a viscous capillary drop
Vsevolod
Solonnikov
Russian Acadademy of Sciences, ST. PETERSBURG, RUSSIAN FEDERATION
Quasistationary approximation, viscous capillary drop
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.
Functional analysis
Probability theory and stochastic processes
125
173
10.4171/IFB/7
http://www.ems-ph.org/doi/10.4171/IFB/7