Evolution free boundary problem for equations of viscous compressible heat-conducting capillary fluids (Q2747388)

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scientific article; zbMATH DE number 1657643
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Evolution free boundary problem for equations of viscous compressible heat-conducting capillary fluids
scientific article; zbMATH DE number 1657643

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    Evolution free boundary problem for equations of viscous compressible heat-conducting capillary fluids (English)
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    5 May 2002
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    free boundary problem
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    global classic solution
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    motion of a viscous fluid
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    This work is devoted to the study of motion of a viscous compressible heat conducting capillary fluid in a domain bounded by a free surface. Assuming that the initial data are sufficiently close to a constant state the author proves the existence of a global solution, which is close to the constant state at any moment of time. The solution is obtained in Sobolev-Slobodetskij space.
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