CONTENTS 1. Introduction................................................................5 2. Problem (1-1) in a half-space.....................................7 3. A priori estimate and existence of solutions of problem (1.1) with vanishing initial conditions............................20 4. Existence of solutions of problem (1.1)....................28 References..................................................................33
Institute of Mathematics, Polish Academy of Sciences, ul. Śniadeckich 8, 00-950 Warsaw, Poland
Bibliografia
[1] V. A. Solonnikov, On an initial-boundary value problem for the Stokes system which appears in problems with free boundary (to appear) (in Russian).
[2] V. A. Solonnikov, On boundary problems for linear parabolic systems of differential equations of general form, Trudy Mat. Inst. Steklov. 83 (1965) (in Russian).
[3] W. M. Zajączkowski, On nonstationary motion of a compressible barotropic viscous capillary fluid bounded by a free surface, SIAM J. Math. Anal, (submitted).
[4] W. M. Zajączkowski and B. Zawisza, On global nonstationary motion of a general compressible viscous capillary fluid bounded by a free surface(to appear).