A blow up of solutions for a system of Klein-Gordon equations with variable exponent. Theoretical and Numerical Results
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Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Polish Mathematical Society
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
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.
Açıklama
Anahtar Kelimeler
Bdf method, Blow up, Finite difference method, Generalized-Alpha method, Klein-Gordon equation, P1-Finite element method, Variable exponent
Kaynak
Mathematica Applicanda
WoS Q Değeri
Scopus Q Değeri
Q4
Cilt
51
Sayı
1
Künye
Gözen, S. M., Okutmuştur, B., Pişkin, E. ve Yılmaz, N. (2023). A blow up of solutions for a system of Klein-Gordon equations with variable exponent. Theoretical and Numerical Results. Mathematica Applicanda, 51(1), 143-164.
