Blow-up of solutions for a quasilinear system with degenerate damping terms
Salah Boulaaras, Abdelbaki Choucha, Praveen Agarwal, Mohamed Abdalla, Sahar Ahmed Idris
Abstract
Abstract In this work, we consider a quasilinear system of viscoelastic equations with degenerate damping and general source terms. According to some suitable hypothesis, we study the blow-up of solutions. This is the general case of the recent results of Boulaaras’ works (Bull. Malays. Math. Sci. Soc. 43:725–755, 2020) and (Appl. Anal. 99:1724–1748, 2020).
Topics & Concepts
Degenerate energy levelsOrdinary differential equationViscoelasticityMathematicsPartial differential equationMathematical analysisWork (physics)Applied mathematicsDifferential equationPhysicsThermodynamicsQuantum mechanicsStability and Controllability of Differential EquationsAdvanced Mathematical Modeling in EngineeringNavier-Stokes equation solutions