Asymptotic statistical inference for a stochastic heat flow problem
β Scribed by Timo Koski; Wilfried Loges
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 274 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0167-7152
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π SIMILAR VOLUMES
The asymptotic behaviour of a heat conduction problem involving a non-linear heat source depending on the heat-#ux occurring in the extremum of a semi-in"nite slab is discussed. Conditions are given on the non-linearity so as to accelerate the convergence of the solution to zero.
The three leading terms of the asymptotic expansion of the solution of the problem of convective heat transfer between a thin plate of finite length and arbitrary surface temperature and an unbounded uniform fluid flow are obtained analytically for low P&let and Prandtl numbers.
## Abstract A linear integrodifferential equation describing the heat flow in a material with memory is considered. This equation contains a pair of timeβdependent convolution kernels that are unknown. Such kernels are recovered by using an overdetermined set of data. A local existence theorem for