Breakdown of smooth solutions in dissipative nonlinear hyperbolic equations
Breakdown of smooth solutions in dissipative nonlinear hyperbolic equations
In this paper we study the nonexistence of global smooth solutions of one-dimensional motions for nonlinear viscoelastic fluids and solids by the method of Rozhdestvenskii [1], This method has been applied to prove the nonexistence of global smooth solutions for the shearing motions in an elastic circular tube in [2].It …