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

Volume 29 / 2002

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


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.


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

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