Solvability of two stationary free boundary problems for the Navier-Stokes equations

V. A. Solonnikov

Bollettino dell'Unione Matematica Italiana (1998)

  • Volume: 1-B, Issue: 2, page 283-342
  • ISSN: 0392-4041

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Solonnikov, V. A.. "Solvability of two stationary free boundary problems for the Navier-Stokes equations." Bollettino dell'Unione Matematica Italiana 1-B.2 (1998): 283-342. <http://eudml.org/doc/194674>.

@article{Solonnikov1998,
author = {Solonnikov, V. A.},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {Navier-Stokes equations; free boundary; surface tension; rotationally symmetric solutions; contact angles; contact lines; existence},
language = {eng},
month = {6},
number = {2},
pages = {283-342},
publisher = {Unione Matematica Italiana},
title = {Solvability of two stationary free boundary problems for the Navier-Stokes equations},
url = {http://eudml.org/doc/194674},
volume = {1-B},
year = {1998},
}

TY - JOUR
AU - Solonnikov, V. A.
TI - Solvability of two stationary free boundary problems for the Navier-Stokes equations
JO - Bollettino dell'Unione Matematica Italiana
DA - 1998/6//
PB - Unione Matematica Italiana
VL - 1-B
IS - 2
SP - 283
EP - 342
LA - eng
KW - Navier-Stokes equations; free boundary; surface tension; rotationally symmetric solutions; contact angles; contact lines; existence
UR - http://eudml.org/doc/194674
ER -

References

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  6. LADYZHENSKAYA, O. A.- SOLONNIKOV, V. A., On some problems of vector analysis and on generalised formulations of boundary value problems for the Navier-Stokes equations (in Russian), Zap. Nauchn. Semin. LOMI, 59 (1976), 81-116. Zbl0346.35084MR467031
  7. MAZ'YA, V. G.- PLAMENEVSKII, B. A.- STUPELIS, L., The three-dimensional problem of steady motion of a fluid with a free surface, AMS Translations, 123 (1984), 171-268. Zbl0553.76028
  8. SH. MOGILEVSKII, I., Solvability of one problem of viscous fluid motion, Math. Models Meth. Appl. Sciences, 4, No. 2 (1994), 265-272. Zbl0803.76095MR1269485
  9. NAZAROV, S. A.- PLAMENEVSKII, B. A., Elliptic Problems in Domains with Piecewise Smooth Boundaries, De Gruyter Expositions in Mathemetics, 13 (1994), 522 p. Zbl0806.35001MR1202790
  10. ODQUIST, K. F. G., Über die Randwetraufgaben der Hydrodynamik zäher Flüssigkeiten, Math. Z., 32 (1930), 329-375. MR1545170
  11. SATTINGER, D., On the free surface of a viscous fluid motion, Proc. Roy. Soc. London, Ser. A, 349 (1976), 183-204. Zbl0329.76033MR416239
  12. SOLONNIKOV, V. A., On the solvability of boundary and initial-boundary value problems for the Navier-Stokes equations in domains with noncompact boundaries, Pacific J. Math., 93 (1981), 443-458. Zbl0413.35062MR623575
  13. SOLONNIKOV, V. A., On the Stokes equations in domains with non-smooth boundaries and on viscous incompressible flow with a free surface, in Nonlinear Partial Differential Equations and their Applications, Collège de France seminars, vol. III, H. Brezis and J.-L. Lions (editors), Research Notes in Mathematics, 70, Pitman (1982), 340-423. Zbl0506.35083MR670285
  14. SOLONNIKOV, V. A., Stokes and Navier-Stokes equations in domains with noncompact boundaries, in Nonlinear Partial Differential Equations and their Applications, Collège de France seminars, vol. IV, H. Brezis and J.-L. Lions (editors), Research Notes in Mathematics, 84, Pitman (1983), 240-349. Zbl0547.35102MR716521
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  20. STUPELIS, L., Navier-Stokes equations in irregular domains, Mathematics and its applications, 326, Kluwer Acad. Publ. (1995), 566 p. Zbl0837.35003MR1346108

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