Static stress perturbation in magnetoelastic wave equations (source code)

= Static stress perturbation in magnetoelastic wave equations

The linear system $\partial_tv_i=-\partial_i\pi+\partial_jm_{ij}$, $\partial_tm_{ij}=v_A^2(\partial_iv_j+\partial_jv_i)$ and $\nabla\cdot\mathbf v=0$ admits stationary <stress> as well as propagating <waves>. For instance, $\mathbf v=0$, $m_{ij}=f(\mathbf r)\delta_{ij}$ and $\pi=f(\mathbf r)$ solve it for any sufficiently small smooth $f$. Thus arbitrary initial <magnetic second-moment tensor> perturbations need not be oscillatory.