Blow-up of a hyperbolic equation of viscoelasticity with supercritical nonlinearities

Asymptotic stability in viscoelasticity

Constantine M. Dafermos · Archive for Rational Mechanics and Analysis · 1970 · 953 citations

Engineering, Mechanical Engineering, Dynamical Systems +9

Foundations of Linear Viscoelasticity

Bernard D. Coleman, Walter Noll · Reviews of Modern Physics · 1961 · 907 citations

Engineering, Materials Science, Physics +12

Saddle points and instability of nonlinear hyperbolic equations

L. E. Payne, D. H. Sattinger · Israel Journal of Mathematics · 1975 · 831 citations

Natural Sciences, Mathematics, Physics +13

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

Vladimir Georgiev, Grozdena Todorova · Journal of Differential Equations · 1994 · 583 citations

Natural Sciences, Mathematics, Physics +15

Frictional versus Viscoelastic Damping in a Semilinear Wave Equation

Marcelo M. Cavalcanti, Higidio Portillo Oquendo · SIAM Journal on Control and Optimization · 2003 · 399 citations

Natural Sciences, Mathematics, Physics +13