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

DOI10.3934/MATH.2021027zbMath1484.35083OpenAlexW3092719010MaRDI QIDQ2131469

Fahima Hebhoub, Khaled Zennir, Mohamed Biomy, Tosiya Miyasita

Publication date: 26 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021027

zbMATH Keywords

blow-upcoupled systemviscoelasticEmden-Fowler wave equation

Mathematics Subject Classification ID

Nonlinear constitutive equations for materials with memory (74D10) Weak solutions to PDEs (35D30) PDEs in connection with mechanics of deformable solids (35Q74) Blow-up in context of PDEs (35B44)

Related Items (3)

New scenario of decay rate for system of three nonlinear wave equations with visco-elasticities ⋮ Well defined extinction time of solutions for a class of weak-viscoelastic parabolic equation with positive initial energy ⋮ Unnamed Item

Cites Work

• Global existence and blow up of solutions to systems of nonlinear wave equations with degenerate damping and source terms
• Global nonexistence of positive initial-energy solutions of a system of nonlinear viscoelastic wave equations with damping and source terms
• Abstract non linear wave equations
• Growth of solutions with positive initial energy to system of degeneratly damped wave equations with memory
• Global nonexistence of solutions for a system of nonlinear viscoelastic wave equations with degenerate damping and source terms
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