Asymptotic approximations for the stationary radiative-conductive heat transfer problem in the two-dimensional system of plates
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Andrey A. Amosov
Abstract
Special asymptotic approximations, namely, the first and second homogenized problems are proposed for the boundary value problem describing a stationary radiative-conductive heat transfer in a two-dimensional system of heat-conducting plates of thickness ɛ separated by vacuum layers. The unique solvability of homogenized problems is proved, the comparison theorem is established, and estimates of solutions are obtained. The first homogenized problem has the error estimate of order
Funding source: Russian Science Foundation
Award Identifier / Grant number: 14-11-00306
Funding statement: The work was financially supported by the Russian Science Foundation (No. 14-11-00306).
References
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Articles in the same Issue
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- The study and numerical solution of some inverse problems in simulation of hydrophysical fields in water areas with ‘liquid’ boundaries
- New Monte Carlo algorithms for investigation of criticality fluctuations in the particle scattering process with multiplication in stochastic media
- Asymptotic approximations for the stationary radiative-conductive heat transfer problem in the two-dimensional system of plates
- Variational assimilation of mean daily observation data for the problem of sea hydrothermodynamics
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Articles in the same Issue
- Frontmatter
- The study and numerical solution of some inverse problems in simulation of hydrophysical fields in water areas with ‘liquid’ boundaries
- New Monte Carlo algorithms for investigation of criticality fluctuations in the particle scattering process with multiplication in stochastic media
- Asymptotic approximations for the stationary radiative-conductive heat transfer problem in the two-dimensional system of plates
- Variational assimilation of mean daily observation data for the problem of sea hydrothermodynamics
- Statistical modelling algorithm for solving the nonlinear Boltzmann equation based on the projection method
- Numerical investigation of diagnostic properties of p53-dependent microRNAs
