On the Existence of Global Weak Solutions for a Weakly Dissipative Hyperelastic Rod Wave Equation

الملخص EN

Assuming that the initial value v 0 ( x ) belongs to the space H 1 ( R ) , we prove the existence of global weak solutions for a weakly dissipative hyperelastic rod wave equation in the space C ( [ 0 , ∞ ) × R ) ⋂ L ∞ ( [ 0 , ∞ ) ; H 1 ( R ) ) .

The limit of the viscous approximation for the equation is used to establish the existence.