Boundary layer expansions for initial value problems with two complex time variables
We study a family of partial differential equations in the complex domain, under the action of a complex perturbation parameter ϵ. We construct inner and outer solutions of the problem and relate them to asymptotic representations via Gevrey asymptotic expansions with respect to ϵ in adequate domain...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2020 |
| País: | España |
| Institución: | Universidad de Alcalá (UAH) |
| Repositorio: | e_Buah Biblioteca Digital Universidad de Alcalá |
| Idioma: | inglés |
| OAI Identifier: | oai:ebuah.uah.es:10017/41482 |
| Acceso en línea: | http://hdl.handle.net/10017/41482 https://dx.doi.org/10.1186/s13662-020-2496-3 |
| Access Level: | acceso abierto |
| Palabra clave: | Asymptotic expansion Borel-Laplace transform Fourier transform Initial value problem Formal power series Boundary layer Singular perturbation Matemáticas Mathematics |
| Sumario: | We study a family of partial differential equations in the complex domain, under the action of a complex perturbation parameter ϵ. We construct inner and outer solutions of the problem and relate them to asymptotic representations via Gevrey asymptotic expansions with respect to ϵ in adequate domains. The asymptotic representation leans on the cohomological approach determined by the Ramis-Sibuya theorem. |
|---|