Global nonexistence of solutions for a system of nonlinear viscoelastic wave equations with degenerate damping and source terms

Asymptotic stability in viscoelasticity

Constantine M. Dafermos · Archive for Rational Mechanics and Analysis · 1970 · 915 citations

Rheological Constitutive Equation, Nonlinear Elasticity, Viscoplastic Fluid +5

Existence of a Solution of the Wave Equation with Nonlinear Damping and Source Terms

Vladimir Georgiev, Grozdena Todorova · Journal of Differential Equations · 1994 · 573 citations

Nonlinear Damping, Nonlinear Wave Propagation, Oscillation Theory +5

Frictional versus Viscoelastic Damping in a Semilinear Wave Equation

Marcelo M. Cavalcanti, Higidio Portillo Oquendo · SIAM Journal on Control and Optimization · 2003 · 394 citations

Engineering, Polynomial Decay Rates, Semilinear Wave Equation +10

Existence and uniform decay for a non‐linear viscoelastic equation with strong damping

Marcelo M. Cavalcanti, V. N. Domingos Cavalcanti, Jorge Ferreira · Mathematical Methods in the Applied Sciences · 2001 · 300 citations

Nonlinear Elasticity, Engineering, Mechanics +10

Global Nonexistence Theorems for a Class of Evolution Equations with Dissipation

Enzo Vitillaro · Archive for Rational Mechanics and Analysis · 1999 · 272 citations

Nonlinear Functional Analysis, Parabolic Equation, Global Nonexistence Theorems +5