Blow up at well defined time for a coupled system of one spatial variable Emden-Fowler type in viscoelasticities with strong nonlinear sources

On the Global Nonexistence of a Solution for Wave Equations with Nonlinear Memory Term

“…The question of the well-posedness and spatial regularity of the problem was treated owing to the the theory of evolution process and sectorial operators. Models involving a linear kernel are not new and arise in heat conduction and linear viscoelasticity theory; we mention the works [10][11][12][13][14][15][16][17] and references therein.…”

BLOW UP FOR A VISCOELASTIC WAVE EQUATION WITH SPACE-TIME POTENTIAL IN Rn P. A. OGBIYELE AND P. O. ARAWOMO

“…when p > m and obtained blow up results for positive initial energy solution. For a review on recent results on global existence, energy decay and blow up of solutions to nonlinear wave equations in bounded domains and their extensions to variable exponents, see [1,4,16,17] and for other relevant results on blow-up and global existence for nonlinear wave equations in bounded smooth domains, the reader is referred to [2,6,7,11,13,18,19,21,23,26].…”

Well-Posedness and Stability Results for a Nonlinear Damped Porous–Elastic System with Infinite Memory and Distributed Delay Terms

“…System (4) subjected Neumann-Dirichlet boundary conditions, where g is the relaxation function; the authors obtained a general decay result for the case of equal speeds of wave propagation (See [12,13]). In [14], the authors improved the case of non-equal speed of wave propagation.…”