On the existence of weak solutions of a nonlinear mixed problem for nonhomogeneous fluids in a time dependent domain

Rodolfo Salvi

Commentationes Mathematicae Universitatis Carolinae (1985)

  • Volume: 026, Issue: 1, page 185-199
  • ISSN: 0010-2628

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Salvi, Rodolfo. "On the existence of weak solutions of a nonlinear mixed problem for nonhomogeneous fluids in a time dependent domain." Commentationes Mathematicae Universitatis Carolinae 026.1 (1985): 185-199. <http://eudml.org/doc/17371>.

@article{Salvi1985,
author = {Salvi, Rodolfo},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {existence theory; weak solutions; non-cylindrical tube; boundary conditions},
language = {eng},
number = {1},
pages = {185-199},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the existence of weak solutions of a nonlinear mixed problem for nonhomogeneous fluids in a time dependent domain},
url = {http://eudml.org/doc/17371},
volume = {026},
year = {1985},
}

TY - JOUR
AU - Salvi, Rodolfo
TI - On the existence of weak solutions of a nonlinear mixed problem for nonhomogeneous fluids in a time dependent domain
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1985
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 026
IS - 1
SP - 185
EP - 199
LA - eng
KW - existence theory; weak solutions; non-cylindrical tube; boundary conditions
UR - http://eudml.org/doc/17371
ER -

References

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  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. (1970) MR0298258
  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. (1977) MR0481649
  3. O. A. LADYZENSKAJA V. A. SOLONNIKOV N. N. URAL'CEVA, Linear and quasilinear equations of parabolic type, vol. 23 Translation of Mathematical Monographs. MR0241822
  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. (1971) MR0385354
  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. (1982) MR0676555
  6. J. NEČAS, Les méthodes directes en théorie des équations elliptiques, Editions de l'Académie Tchécoslovaque des Sciences, Pi-ague 1967. (1967) MR0227584
  7. L. NIRENBERG, On elliptic partial differential equations, Ann. Scuola Norm. Sup. Pisa, ser. III, XIII (1959), 115-162. (1959) Zbl0088.07601MR0109940
  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. (1978) MR0509584
  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. 
  10. J. SIMON, Ecoulement d'un fluide non-homogène avec densité initiale s'annullant, C.R. Acad. Sci. 287 (1978), 1009-1012. (1978) MR0519229

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