Geodesic
A blow up of solutions for a system of Klein-Gordon equations with variable exponent. Theoretical and Numerical Results
Mathematica Applicanda, Tome 51 (2023) no. 2, pp. 143-164.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

In this paper, we consider a system of Klein-Gordon equations with variable exponents. The first part of the manuscript is devoted to the proof of the blow up of solutions with negative initial energy under suitable conditions on variable exponents and initial data. The theoretical part is supported by numerical experiments based on P1-finite element method in space and the BDF and the Generalized-alpha methods in time, illustrated in the second part. The numerical and analytical results of the blow up solutions agree with each other.
DOI : 10.14708/ma.v51i2.7225
Classification : 35B44, 35L57, 65N06, 35Q90
Mots-clés : Blow up, Klein-Gordon equation, Variable exponent, Generalized-alpha method, BDF method, P1-finite element method, finite difference method 
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Nebi Yılmaz; Sedanur Mazı Gözen; Erhan Pişkin; Baver Okutmustur. A blow up of solutions for a system of Klein-Gordon equations with variable exponent. Theoretical and Numerical Results. Mathematica Applicanda, Tome 51 (2023) no. 2, pp.  143-164. doi : 10.14708/ma.v51i2.7225. http://geodesic.mathdoc.fr/articles/10.14708/ma.v51i2.7225/

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