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JOURNALS // Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics] // Archive

Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2009, Issue 14, Pages 21–28 (Mi vtpmk340)

MATHEMATICAL MODELS OF PHYSICO-MECHANICAL SYSTEMS

Numerical decision of Smoluchowski's problem for Bose gas

A. S. Esenkova, V. S. Esenkovb, I. E. Mikhaĭlovc

a Dorodnitsyn Computing Centre of the Russian Academy of Sciences, Moscow
b Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
c Dubna International University for Nature, Society, and Man

Abstract: The numerical decision of boundary task is offered for integral-differential equation. This equation describes quantum boze-gases in the generalized boundary Smolukhovsky's problem about temperature and evaporation of gas from a flat surface on border gas – the condensed phase (a solid, a liquid). Such jumps are caused by presence of normal to the surface gradient of temperature, and, as a result, stream of heat to the surface.

Keywords: Smolukhovsky problem, Boze-gas, integral-differential equation, iterative methods.

UDC: 519.612

Received: 30.04.2009



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