Blow up of solutions of two singular nonlinear viscoelastic equations with general source and localized frictional damping terms
Salah Boulaaras, Abdelbaki Choucha, Djamel Ouchenane, Bahri Cherif
Abstract
Abstract This work studies the blow-up result of the solution of a coupled nonlocal singular viscoelastic equation with general source and localized frictional damping terms under some suitable conditions. This work is a natural continuation of the previous recent articles by Boulaaras et al. (Appl. Anal., 2020, 10.1080/00036811.2020.1760250 ; Math. Methods Appl. Sci. 43:6140–6164, 2020; Topol. Methods Nonlinear Anal., 2020, 10.12775/TMNA.2020.014 ).
Topics & Concepts
ViscoelasticityContinuationMathematicsNonlinear systemMathematical analysisWork (physics)Ordinary differential equationPartial differential equationSingular solutionPhysicsDifferential equationThermodynamicsComputer scienceProgramming languageQuantum mechanicsStability and Controllability of Differential EquationsAdvanced Mathematical Modeling in EngineeringAdvanced Mathematical Physics Problems