| Title:
|
On the existence of weak solutions of a nonlinear mixed problem for nonhomogeneous fluids in a time dependent domain (English) |
| Author:
|
Salvi, Rodolfo |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
26 |
| Issue:
|
1 |
| Year:
|
1985 |
| Pages:
|
185-199 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35Q10 |
| MSC:
|
35Q30 |
| MSC:
|
76D05 |
| idZBL:
|
Zbl 0591.76042 |
| idMR:
|
MR797303 |
| . |
| Date available:
|
2008-06-05T21:20:44Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106357 |
| . |
| Reference:
|
[1] H. FUJITA N. SAUER: On existence of weak solutions of the Navier-Stokes equations in regions with moving boundary.J. Fac. Sci. Univ. Tokyo Sect. I A 17 (1970), 403-420. MR 0298258 |
| Reference:
|
[2] A. INOUE M. WAKIMOTO: On existence of solutions of the Navier-Stokes equations in a time dependent domain.J. Fac. Sci. Univ. Tokyo Sect. I A 24 (1977), 303-319. MR 0481649 |
| Reference:
|
[3] O. A. LADYZENSKAJA V. A. SOLONNIKOV N. N. URAL'CEVA: Linear and quasilinear equations of parabolic type.vol. 23 Translation of Mathematical Monographs. MR 0241822 |
| Reference:
|
[4] H. MORIMOTO: On existence of periodic weak solutions of the Navier-Stokes equations in regions with periddically moving boundaries.J. Fac. Sci. Univ. Tokyo Sect. I A 18 (1971), 499-524. MR 0385354 |
| Reference:
|
[5] T. MYAKAWA Y. TERAMOTO: Existence and periodicity of weak solutions of the Navier-Stokes equations in a time dependent domain.Hiroshima Math. J. 12 (1982), 513-528. MR 0676555 |
| Reference:
|
[6] J. NEČAS: Les méthodes directes en théorie des équations elliptiques.Editions de l'Académie Tchécoslovaque des Sciences, Pi-ague 1967. MR 0227584 |
| Reference:
|
[7] L. NIRENBERG: On elliptic partial differential equations.Ann. Scuola Norm. Sup. Pisa, ser. III, XIII (1959), 115-162. Zbl 0088.07601, MR 0109940 |
| Reference:
|
[8] M. OTANI Y. YAMADA: On the Navier-Stokes equations in a non-cylindrical domains: An approach by subdifferential operator theory.J. Pac. Sci. Univ. Tokyo Sect. I A 25 (1978), 185-204. MR 0509584 |
| Reference:
|
[9] R. SALVI: On existence of weak solutions of a non linear mixed problem for Navier-Stokes equations in a time dependent domain.to be published. |
| Reference:
|
[10] J. SIMON: Ecoulement d'un fluide non-homogène avec densité initiale s'annullant.C.R. Acad. Sci. 287 (1978), 1009-1012. MR 0519229 |
| . |
