On Singular Solutions to PDEs with Turning Point Involving a Quadratic Nonlinearity
Author
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-32, 32 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-09-13
Country of Publication
Egypt
No. of Pages
32
Main Subjects
Abstract EN
We study a singularly perturbed PDE with quadratic nonlinearity depending on a complex perturbation parameter ϵ.
The problem involves an irregular singularity in time, as in a recent work of the author and A.
Lastra, but possesses also, as a new feature, a turning point at the origin in C.
We construct a family of sectorial meromorphic solutions obtained as a small perturbation in ϵ of a slow curve of the equation in some time scale.
We show that the nonsingular parts of these solutions share common formal power series (that generally diverge) in ϵ as Gevrey asymptotic expansion of some order depending on data arising both from the turning point and from the irregular singular point of the main problem.
American Psychological Association (APA)
Malek, Stéphane. 2017. On Singular Solutions to PDEs with Turning Point Involving a Quadratic Nonlinearity. Abstract and Applied Analysis،Vol. 2017, no. 2017, pp.1-32.
https://search.emarefa.net/detail/BIM-1120871
Modern Language Association (MLA)
Malek, Stéphane. On Singular Solutions to PDEs with Turning Point Involving a Quadratic Nonlinearity. Abstract and Applied Analysis No. 2017 (2017), pp.1-32.
https://search.emarefa.net/detail/BIM-1120871
American Medical Association (AMA)
Malek, Stéphane. On Singular Solutions to PDEs with Turning Point Involving a Quadratic Nonlinearity. Abstract and Applied Analysis. 2017. Vol. 2017, no. 2017, pp.1-32.
https://search.emarefa.net/detail/BIM-1120871
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1120871