On an inequality for a free boundary problem
  for equations of a viscous compressible
  heat-conducting capillary fluid

Ewa Zadrzyńska; Wojciech M. Zajączkowski

doi:10.4064/am29-4-3

Wydawnictwa / Czasopisma IMPAN / Applicationes Mathematicae / Wszystkie zeszyty

On an inequality for a free boundary problem for equations of a viscous compressible heat-conducting capillary fluid

Tom 29 / 2002

Ewa Zadrzyńska, Wojciech M. Zajączkowski Applicationes Mathematicae 29 (2002), 399-438 MSC: 35Q35, 35R35, 76N10. DOI: 10.4064/am29-4-3

Streszczenie

We derive an inequality for a local solution of a free boundary problem for a viscous compressible heat-conducting capillary fluid. This inequality is crucial to proving the global existence of solutions belonging to certain anisotropic Sobolev–Slobodetskiĭ spaces and close to an equilibrium state.

Autorzy

Ewa ZadrzyńskaFaculty of Mathematics and Information Sciences
Warsaw University of Technology
pl. Politechniki 1
00-661 Warszawa, Poland
e-mail
Wojciech M. ZajączkowskiMilitary University of Technology
Kaliskiego 2
00-908 Warszawa, Poland
and
ICM, Interdisciplinary Centre
for Mathematical and Computational Modelling
Warsaw University
Pawińskiego 5a
02-106 Warszawa, Poland
e-mail

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