Blow up of solutions for viscoelastic wave equations of Kirchhoff type with arbitrary positive initial energy
| dc.contributor.author | Piskin, Erhan | |
| dc.contributor.author | Fidan, Ayse | |
| dc.date.accessioned | 2022-08-05T14:42:00Z | |
| dc.date.available | 2022-08-05T14:42:00Z | |
| dc.date.issued | 2017-10-04 | |
| dc.description.abstract | In this article we consider the nonlinear Viscoelastic wave equations of Kirchhoff type utt - M(∥∇u∥2) ∆u + ∫t0 g1(t - τ)∆u(τ)dτ + ut = (p + 1)|v|q+1|u|p-1u, vtt - M(∥∇v∥2)∆v + ∫t0 g2(t - τ)∆v(τ)dτ + vτ = (q + 1)|u|p+1|v|q-1v with initial conditions and Dirichlet boundary conditions. We proved the global nonexistence of solutions by applying a lemma by Levine, and the concavity method. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 10 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Piskin, E., & Fidan, A. (2017). Blow up of solutions for viscoelastic wave equations of Kirchhoff type with arbitrary positive initial energy. Electronic Journal of Differential Equations, 2017(242), pp. 1-10. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16034 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Blow up | |
| dc.subject | Viscoelastic wave equation | |
| dc.subject | Arbitrary positive initial energy | |
| dc.title | Blow up of solutions for viscoelastic wave equations of Kirchhoff type with arbitrary positive initial energy | |
| dc.type | Article |