Solonnikov, V. A. 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. Reviewer: Titus Petrila (Cluj-Napoca) Cited in 12 Documents MSC: 35Q30 Navier-Stokes equations 76D05 Navier-Stokes equations for incompressible viscous fluids 35R35 Free boundary problems for PDEs Keywords:free-boundary problem for viscous incompressible flow; generalized energy; surface tension; solvability × Cite Format Result Cite Review PDF Full Text: DOI