Piskin, ErhanFidan, Ayse2022-08-052022-08-052017-10-04Piskin, E., & Fidan, A. (2017). Blow up of solutions for viscoelastic wave equations of Kirchhoff type with arbitrary positive initial energy. <i>Electronic Journal of Differential Equations, 2017</i>(242), pp. 1-10.1072-6691https://hdl.handle.net/10877/16034In 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.Text10 pages1 file (.pdf)enAttribution 4.0 InternationalBlow upViscoelastic wave equationArbitrary positive initial energyArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.