A method is presented for generating free energies relating to nonlinear constitutive equations with memory from known free energies associated with hereditary linear theories. Some applications to viscoelastic solids and hereditary electrical conductors are presented. These new free energies are then used to obtain estimates for nonlinear integro-differential evolution problems describing the behavior of nonlinear plasmas with memory.
Keywords: dissipation; electric conductors with nonlinear memory; energy estimates; free energy; materials with memory; nonlinear viscoelasticity.