The linearization principle for a free boundary problem for viscous, capillary incompressible fluids

Author:

Mosconi S. J. N.,Solonnikov V. A.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability

Reference16 articles.

1. M. S. Agranovich and M. I. Vishik, ``Elliptic problems with a parameter and parabolic problems of general type,'' Uspekhi Mat. Nauk, 19, No. 3, 53--161 (1964).

2. J. T. Beale, ``The initial value problem for the Navier--Stokes equations with a free boundary,'' Comm. Pure Appl. Math., 31, 359--392 (1980).

3. J. T. Beale, ``Large-time regularity of viscous surface waves,'' Arch. Rat. Mech. Anal., 84, 307--352 (1984).

4. J. T. Beale and T. Nishida, ``Large-time behaviour of viscous surface waves,'' Lect. Notes Num. Appl. Anal., 8, 1--14 (1985).

5. M. E. Bogovskii, ``Resolution of some problems of the vector analysis connected with the operators div and grad,'' Trudy S. L. Sobolev Semin., 1, 5--40 (1980).

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