Viscoelasticity and Magneto-viscoelasticity: some remarks on singular problems

Recent results, in [1-4], on viscoelasticy problems are considered in par- ticular referring to integro-differential models in which the kernel exhibit a singularity at the initial time, t = 0. Then, see [5], the coupling of viscoelastic behavior with magnetization is, then, considered. References [1] S. Carillo, V. Valente and G. Vergara Caffarelli A linear viscoelasticity problem with a singular memory kernel: an existence and uniqueness result Differential and Integral Equations, 26, 9/10, (2013), 1115 1125. [2] S. Carillo, V. Valente and G. Vergara Caffarelli, A result of existence and uniqueness for an integro- differential system in magneto-viscoelasticity, Applicable Analysis: An International Journal, (2010); 90, 12, (2011), 1791 1802. [3] S. Carillo, V. Valente and G. Vergara Caffarelli, An existence theorem for the magneto-viscoelastic problem Discrete and Continuous Dynam- ical Systems Series S., 5, 3, (2012), 435 447. [4] S. Carillo, Singular kernel problems in materials with memory, Meccanica, 50, 3, (2015), 603 615. [5] S. Carillo, M Chipot, V. Valente and G. Vergara Caffarelli, A magneto-viscoelasticity problem with a singular memory kernel, submitted (2016).