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Estimate of the generalized energy in a free-boundary problem for a viscous incompressible fluid. (English. Russian original) Zbl 1075.35041

J. Math. Sci., New York 120, No. 5, 1766-1783 (2004); translation from Zap. Nauchn. Semin. POMI 282, 216-243 (2001).
The paper deals with the evolution of an isolated liquid mass bounded by a free surface and forced by surface tension. The author introduces and estimates the generalized energy of the problem in view of proving the solvability of the associated mathematical model considered on the infinite time interval.

MSC:

35Q30 Navier-Stokes equations
76D05 Navier-Stokes equations for incompressible viscous fluids
35R35 Free boundary problems for PDEs
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