On nonstationary motion of a fixed mass of a general viscous compressible heat conducting capillary fluid bounded by a free boundary

• Autorzy: Ewa Zadrzyńska
• Języki publikacji: EN

Abstrakty

EN

The motion of a fixed mass of a viscous compressible heat conducting capillary fluid is examined. Assuming that the initial data are sufficiently close to a constant state and the external force vanishes we prove the existence of a global-in-time solution which is close to the constant state for any moment of time. Moreover, we present an analogous result for the case of a barotropic viscous compressible fluid.

Słowa kluczowe

EN

free boundary; compressible viscous heat conducting fluids; global existence

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 1998-1999
• Tom: 25
• Numer: 4
• Strony: 489-511

Daty

wydano

1999

otrzymano

1998-06-30

Twórcy

autor

Ewa Zadrzyńska

• Institute of Mathematics and Operations Research, Military University of Technology, S. Kaliskiego 2, 01-489 Warszawa, Poland

Bibliografia

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• [9] G. Ströhmer and W. M. Zajączkowski, Local existence of solutions of the free boundary problem for the equations of compressible barotropic viscous self-gravitating fluids, Appl. Math. (Warsaw), to appear.
• [10] G. Ströhmer and W. M. Zajączkowski, On the existence and properties of the rotationally symmetric equilibrium states of compressible barotropic selt-gravitating fluids, Indiana Univ. Math. J. 46 (1997), 1181-1220.
• [11] G. Ströhmer and W. M. Zajączkowski, On stability of equilibrium solution for compressible barotropic viscous self-gravitating fluid motions bounded by a free surface, to appear.
• [12] 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.
• [13] E. Zadrzyńska and W. M. Zajączkowski, On global motion of a compressible viscous heat conducting fluid bounded by a free surface, Acta Appl. Math. 37 (1994), 221-231.
• [14] E. Zadrzyńska and W. M. Zajączkowski, Conservation laws in free boundary problems for viscous compressible heat conducting fluids, Bull. Polish Acad. Sci. Tech. Sci. 42 (1994), 197-207.
• [15] E. Zadrzyńska and W. M. Zajączkowski, Conservation laws in free boundary problems for viscous compressible heat conducting capillary fluids, ibid. 43 (1995), 423-444.
• [16] E. Zadrzyńska and W. M. Zajączkowski On a differential inequality for a viscous compressible heat conducting fluid bounded by a free surface, Ann. Polon. Math. 61 (1995), 141-188.
• [17] E. Zadrzyńska and W. M. Zajączkowski On a differential inequality for a viscous compressible heat conducting fluid bounded by a free surface, On a differential inequality for a viscous compressible heat conducting capillary fluid bounded by a free surface, ibid. 65 (1996), 23-53.
• [18] E. Zadrzyńska and W. M. Zajączkowski On a differential inequality for a viscous compressible heat conducting fluid bounded by a free surface, On the global existence theorem for a free boundary problem for a viscous compressible heat conducting fluid, ibid. 63 (1996), 199-221.
• [19] E. Zadrzyńska and W. M. Zajączkowski On a differential inequality for a viscous compressible heat conducting fluid bounded by a free surface, On the global existence theorem for a free boundary problem for equations of a viscous compressible heat conducting capillary fluid, J. Appl. Anal. 2 (1996), 125-169.
• [20] E. Zadrzyńska and W. M. Zajączkowski On a differential inequality for a viscous compressible heat conducting fluid bounded by a free surface, Local existence of solutions of a free boundary problem for equations of compressible viscous heat-conducting fluids, Appl. Math. (Warsaw) 25 (1998), 179-220.
• [21] E. Zadrzyńska and W. M. Zajączkowski On a differential inequality for a viscous compressible heat conducting fluid bounded by a free surface, On nonstationary motion of a fixed mass of a viscous compressible barotropic fluid bounded by a free boundary, Colloq. Math. 79 (1999), 283-310.
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• [23] 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.
• [24] W. M. Zajączkowski, Existence of local solutions for free boundary problems for viscous compressible barotropic fluids, Ann. Polon. Math. 60 (1995), 255-287.