Matrix logarithmic wave equation and multi-channel systems in fluid mechanics
Matrix logarithmic wave equation and multi-channel systems in fluid mechanics
We formulate the mapping between a large class of nonlinear wave equations and flow equations for barotropic fluid with internal surface tension and capillary effects. Motivated by statistical mechanics and multi-channel physics arguments, we focus on wave equations with logarithmic nonlinearity, and further generalize them to matrix equations. We map …