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Well-Posedness of a Gas—Solid Phase Transition Problem (1999)

Kaliev, I. A. ; Kazhikhov, A. V.

Springer

Journal of mathematical fluid mechanics 1 (1999), S. 282-308

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ISSN: 1422-6952

Keywords: Keywords. Viscous, compressible, heat conducting fluid, liquid—solid phase transition, free boundary, classical solution.

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Physics

Notes: Abstract. A new model for liquid—solid phase transitions within the frame of complete Navier—Stokes equations in a liquid phase is proposed. It takes into account such properties of liquid as compressibility, viscosity, and heat conductivity. The local existence and uniqueness of a smooth solution to the related initial-boundary value problem is proved.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/s000210050012

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