Convergence of the viscosity solutions for a viscoelastic model
The existence of global weak solutions for a one-dimensional viscoelastic model is proven. Using the theory of singular perturbation of ordinary differential equations, a special entropy flux pair of Lax type is constructed, in which all terms of progression depend on a single variable. A convergence theorem for the method of artifical viscosity is applied to the Cauchy problem which describes the property of the considered viscoelastic model.
scientific article; zbMATH DE number 1491655