On movable singularities of self-similar solutions of semilinear wave equations

• Autorzy: Radosław A. Kycia
• Języki publikacji: EN

Abstrakty

EN

In this paper we analyze movable singularities of the solutions of the equation for self-similar profiles resulting from semilinear wave equation. We study local analytic solutions around two fixed singularity points of this equation- ρ = 0 and ρ = 1. The movable singularities of local analytic solutions at the origin will be connected with those of the Lane-Emden equation. The function describing approximately their position on the complex plane will be derived. For ρ > 1 some topological considerations will be presented that describe movable singularity of local analytic solution at ρ = 1. Numerical illustrations of the results will also be provided.

Kategorie tematyczne

• 65L99: None of the above, but in this section
• 34M35: Singularities, monodromy, local behavior of solutions, normal forms

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2012
• Tom: 97
• Numer: 1
• Strony: 59-72

Daty

wydano

2012

Twórcy

autor

Radosław A. Kycia

• M. Smoluchowski Institute of Physics, Jagiellonian University, ul. Reymonta 4, 30-059 Kraków, Poland

Identyfikatory

DOI

10.4064/bc97-0-4