Enviar artigo por via de e-mail Simple Solutions of the Wave Equation with a Singularity at a Running Point, Based on the Complexified Bateman Solution
- Autores: Blagovestchenskii A.S.1, Kiselev A.P.2,3, Tagirdzhanov A.M.1
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Afiliações:
- St. Petersburg State University
- St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg State University
- Institute of Mechanical Engineering RAS
- Edição: Volume 224, Nº 1 (2017)
- Páginas: 47-53
- Seção: Article
- URL: https://bakhtiniada.ru/1072-3374/article/view/239476
- DOI: https://doi.org/10.1007/s10958-017-3392-6
- ID: 239476
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Resumo
Simple explicit solutions of the homogeneous wave equation with constant propagation speed, having a power-like singularity at a moving space point, are constructed. The constructions are based on a complexified Bateman-type solution. An example of such a solution showing exponential decay with distance from the singular point is presented.
Sobre autores
A. Blagovestchenskii
St. Petersburg State University
Autor responsável pela correspondência
Email: a.blagoveshchensky@spbu.ru
Rússia, St. Petersburg
A. Kiselev
St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg State University; Institute of Mechanical Engineering RAS
Email: a.blagoveshchensky@spbu.ru
Rússia, St. Petersburg
A. Tagirdzhanov
St. Petersburg State University; St. Petersburg State University
Email: a.blagoveshchensky@spbu.ru
Rússia, St. Petersburg; St. Petersburg
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