Well-posedness of a gas-solid phase transition problem

DOI10.1007/S000210050012zbMath0961.35108OpenAlexW2080932158MaRDI QIDQ1969109

A. V. Kazhikhov, I. A. Kaliev

Publication date: 15 May 2001

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000210050012

zbMATH Keywords

classical solutionfree boundaryliquid-solid phase transitionviscous compressible heat conducting fluid

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (4)

The inflow problem for the systems of equations of a viscous heat-conducting gas in the noncylindrical domains expanding in time ⋮ Boundary value problems for equations of viscous heat-conducting gas in time-increasing non-cylindrical domains ⋮ An outflow of viscous heat-conducting gas from time-decreasing noncylindrical domains ⋮ On a boundary value problem for the equations of a viscous heat-conducting gas in noncylindrical domains shrinking in time

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