Existence and uniqueness for a viscoelastic Kelvin–Voigt model with nonconvex stored energy
Existence and uniqueness for a viscoelastic Kelvin–Voigt model with nonconvex stored energy
We consider nonlinear viscoelastic materials of Kelvin–Voigt-type with stored energies satisfying an Andrews–Ball condition, allowing for nonconvexity in a compact set. Existence of weak solutions with deformation gradients in [Formula: see text] is established for energies of any superquadratic growth. In two space dimensions, weak solutions notably turn out to …