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

Banach Center Publications (2012)

- Volume: 97, Issue: 1, page 59-72
- ISSN: 0137-6934

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topRadosław A. Kycia. "On movable singularities of self-similar solutions of semilinear wave equations." Banach Center Publications 97.1 (2012): 59-72. <http://eudml.org/doc/281857>.

@article{RadosławA2012,

abstract = {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.},

author = {Radosław A. Kycia},

journal = {Banach Center Publications},

keywords = {movable singularity; semilinear wave equation; self-similar profiles},

language = {eng},

number = {1},

pages = {59-72},

title = {On movable singularities of self-similar solutions of semilinear wave equations},

url = {http://eudml.org/doc/281857},

volume = {97},

year = {2012},

}

TY - JOUR

AU - Radosław A. Kycia

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

JO - Banach Center Publications

PY - 2012

VL - 97

IS - 1

SP - 59

EP - 72

AB - 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.

LA - eng

KW - movable singularity; semilinear wave equation; self-similar profiles

UR - http://eudml.org/doc/281857

ER -

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