Published 6 issues per year
ISSN Print: 1543-1649
ISSN Online: 1940-4352
IF:
1.4
5-Year IF:
1.3
Immediacy Index:
2.2
Eigenfactor:
0.00034
JCI:
0.46
SJR:
0.333
SNIP:
0.606
CiteScore™::
3.1
H-Index:
31
Indexed in
Complexification in Sensitive Singular Perturbations and Their Appproximation
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ABSTRACT
We consider a type of singular perturbation boundary value problem depending on a parameter ε that is classical for ε > 0 but highly ill posed for ε = 0. This kind of problem arises from thin shell theory; but here, we only deal with a model problem allowing a Fourier transform treatment. The asymptotic process exhibits a complexification phenomenon: in some sense, the solution becomes more and more complex as ε decreases. This phenomenon is associated with the emergence of a new characteristic parameter log ε−1. We also give an approximate heuristic method and we verify its reliability.
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Béchet F., Sanchez-Palencia E., Millet O., Singular perturbations generating complexification phenomena for elliptic shells, Computational Mechanics, 43, 2, 2009. Crossref