Global existence of weak solutions is established for one-dimensional quasistatic nonlinear viscoelasticity with Bhattacharya-like viscosity, with solutions characterized as curves of maximal slope and satisfying a metric evolutionary variational inequality under convexity.
Serfaty: Gamma-convergence of gradient flows on H ilbert spaces and metric spaces and applications
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Gradient-flow characterizations of one-dimensional quasistatic viscoelasticity with Bhattacharya-like viscosity
Global existence of weak solutions is established for one-dimensional quasistatic nonlinear viscoelasticity with Bhattacharya-like viscosity, with solutions characterized as curves of maximal slope and satisfying a metric evolutionary variational inequality under convexity.