Special Session 37: Global or/and blowup solutions for nonlinear evolution equations and their applications
Contents
We are concerned with the singularly perturbed
Boussinesq-type equation including the singularly perturbed
sixth-order Boussinesq equation, which describes the
bi-directional propagation of small amplitude and long
capillary-gravity waves on the surface of shallow water for bond
number (surface tension parameter) less than but very close to
$1/3$. The existence and uniqueness of the global generalized
solution and the global classical solution of the initial boundary
value problem for the singularly perturbed Boussinesq-type
equation are proved. The nonexistence of global solution of the
above-problem is discussed and two examples are given