The diffusion flame as a singular perturbation problem
β Scribed by J. F. Clarke
- Publisher
- Springer
- Year
- 1971
- Tongue
- English
- Weight
- 496 KB
- Volume
- 5
- Category
- Article
- ISSN
- 0022-0833
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π SIMILAR VOLUMES
Consider the equation Γe 2 Du e + q(x)u e = f(u e ) in R 3 , ju(1)j < 1, e = const > 0. Under what assumptions on q(x) and f(u) can one prove that the solution u e exists and lim e!0 u e = u(x), where u(x) solves the limiting problem q(x)u = f(u)? These are the questions discussed in the paper.
The problem of finding the pert urbed eigenvalues and eigenfunctions of a two-dimensional hard walled container, containing a hard scatterer of length scale small compared to wavelength, is treated by the method of matched asymptotic expansions. The perturbing body is of arbitrary shape and results