Well-Posedness of a Gas—Solid Phase Transition Problem

Springer Science and Business Media LLC - Tập 1 - Trang 282-308 - 1999
I. A. Kaliev1, A. V. Kazhikhov2
1Lavrentyev Institute of Hydrodynamics, Siberian Division of Russian Academy of Sciences, Lavrentyev pr. 15, Novosibirsk 630090, Russia, e-mail: [email protected], , RU
2Lavrentyev Institute of Hydrodynamics, Siberian Division of Russian Academy of Sciences, Lavrentyev pr. 15, Novosibirsk 630090, Russia, e-mail: [email protected], , RU

Tóm tắt

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.

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Springer Science and Business Media LLC

Tập 1

282-308

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