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

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Kycia R.

Banach Center Publications

2012

tom 97

nr 1

59-72

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.

Ograniczanie wyników

1 Banach Center Publications

1 Kycia R.

1 2012

Wyniki wyszukiwania

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