On the Existence of Global Weak Solutions for a Weakly Dissipative Hyperelastic Rod Wave Equation
Assuming that the initial value v0(x) belongs to the space H1(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,∞);H1(R)). The limit of the viscous approximation for the equation is used to establish the existen...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2014-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/264162 |