Weak Solutions for a Class of Nonlinear Systems of Viscoelasticity

By Sophia Demoulini. 2000

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Some Open Problems in Elasticity (2002, methodology): “Starting from a sequence of approximate solutions obtained from the method of vanishing viscosity (or by a variational time-discretization scheme, see Demoulini, Stuart & Tsavaras [99]), it uses information coming from the existence of a suitable family of ‘entropies’ (quantities for which there is ”
On the Evolutionary Fractional p-Laplacian (2015, background): “8; 29, Chapter 11; 35, Chapter V; 36, Chapter 33] as well as in the works [11, 14, 15, 17, 19, 23, 28] (this list is far from being comprehensive).”
Global well-posedness for a class of fourth-order nonlinear strongly damped wave equations (2019, background): “also attracts a lot of attentions in various directions like well-posedness of weak solution, asymptotic analysis and stability [15, 33, 38], and it was also extended to be considered in the form of nonlinear systems of viscoelasticity [12].”