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Boundary layer expansions for initial value problems with two complex time variables

delete2020-01-09
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A
Alberto Lastra *
S
Stéphane Malek
DOI:10.1186/s13662-020-2496-3delete
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摘要

摘要

En 中文
We study a family of partial differential equations in the complex domain, under the action of a complex perturbation parameter epsilon. We construct inner and outer solutions of the problem and relate them to asymptotic representations via Gevrey asymptotic expansions with respect to epsilon in adequate domains. The asymptotic representation leans on the cohomological approach determined by the Ramis-Sibuya theorem.
Keyword:
Asymptotic expansion
Borel-Laplace transform
Fourier transform
Initial value problem
Formal power series
Boundary layer
Singular perturbation
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期刊

Advances in Difference Equations 封面图
Advances in Difference Equations
IF:
3.1
论文数:
4.8K
被引数:
7.4K

机构

U
universidad de alcala
学者数:
7.9K
论文数: 6.8K
被引数: 7
U
universite de lille
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2.7W
论文数: 2.0W
被引数: 15
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