Existence of local solutions for free boundary problems for viscous compressible barotropic fluids
Annales Polonici Mathematici (1995)
- Volume: 60, Issue: 3, page 255-287
- ISSN: 0066-2216
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topW. M. Zajączkowski. "Existence of local solutions for free boundary problems for viscous compressible barotropic fluids." Annales Polonici Mathematici 60.3 (1995): 255-287. <http://eudml.org/doc/262333>.
@article{W1995,
abstract = {We prove the local existence of solutions for equations of motion of a viscous compressible barotropic fluid in a domain bounded by a free surface. The solutions are shown to exist in exactly those function spaces where global solutions were found in our previous papers [14, 15].},
author = {W. M. Zajączkowski},
journal = {Annales Polonici Mathematici},
keywords = {local existence; free boundary; anisotropic Sobolev spaces; viscous compressible barotropic fluids; Navier-Stokes equations; time-dependent boundary; surface tension; iterations; anisotropic Sobolev-Slobodetskij spaces},
language = {eng},
number = {3},
pages = {255-287},
title = {Existence of local solutions for free boundary problems for viscous compressible barotropic fluids},
url = {http://eudml.org/doc/262333},
volume = {60},
year = {1995},
}
TY - JOUR
AU - W. M. Zajączkowski
TI - Existence of local solutions for free boundary problems for viscous compressible barotropic fluids
JO - Annales Polonici Mathematici
PY - 1995
VL - 60
IS - 3
SP - 255
EP - 287
AB - We prove the local existence of solutions for equations of motion of a viscous compressible barotropic fluid in a domain bounded by a free surface. The solutions are shown to exist in exactly those function spaces where global solutions were found in our previous papers [14, 15].
LA - eng
KW - local existence; free boundary; anisotropic Sobolev spaces; viscous compressible barotropic fluids; Navier-Stokes equations; time-dependent boundary; surface tension; iterations; anisotropic Sobolev-Slobodetskij spaces
UR - http://eudml.org/doc/262333
ER -
References
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- [9] E. Zadrzyńska and W. M. Zajączkowski, On local motion of a general compressible viscous heat conducting fluid bounded by a free surface, Ann. Polon. Math. 59 (1994), 133-170. Zbl0812.35102
- [10] E. Zadrzyńska and W. M. Zajączkowski, On the global existence theorem for a free boundary problem for equations of a viscous compressible heat conducting fluid, to appear. Zbl0874.35097
- [11] E. Zadrzyńska and W. M. Zajączkowski, On the global existence theorem for a free boundary problem for equations of a viscous compressible heat conducting capillary fluid, to appear. Zbl0874.35097
- [12] W. M. Zajączkowski, On an initial-boundary value problem for the parabolic system which appears in free boundary problems for compressible Navier-Stokes equations, Dissertationes Math. 304 (1990).
- [13] W. M. Zajączkowski, On local motion of a compressible barotropic viscous fluid bounded by a free surface, in: Banach Center Publ. 27, Inst. Math., Polish Acad. Sci., 1992, 511-553. Zbl0791.35105
- [14] W. M. Zajączkowski, On nonstationary motion of a compressible barotropic viscous fluid bounded by a free surface, Dissertationes Math. 324 (1993). Zbl0771.76059
- [15] W. M. Zajączkowski, On nonstationary motion of a compressible barotropic viscous capillary fluid bounded by a free surface, SIAM J. Math. Anal. 25 (1994), 1-84. Zbl0813.35086
Citations in EuDML Documents
top- G. Ströhmer, W. Zajączkowski, Local existence of solutions of the free boundary problem for the equations of compressible barotropic viscous self-gravitating fluids
- Ewa Zadrzyńska, Wojciech M. Zajączkowski, On a differential inequality for equations of a viscous compressible heat conducting fluid bounded by a free surface
- Ewa Zadrzyńska, Wojciech M. Zajączkowski, On the global existence theorem for a free boundary problem for equations of a viscous compressible heat conducting fluid
- Ewa Zadrzyńska, Wojciech Zajączkowski, On nonstationary motion of a fixed mass of a viscous compressible barotropic fluid bounded by a free boundary
- Ewa Zadrzyńska, On nonstationary motion of a fixed mass of a general viscous compressible heat conducting capillary fluid bounded by a free boundary
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