Matrix logarithmic wave equation and multi-channel systems in fluid mechanics
Fluid Dynamics
2019-10-07 v2 Quantum Physics
Abstract
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 the resulting equation to flow equations of multi-channel or multi-component Korteweg-type materials. For some special cases, we analytically derive Gaussian-type matrix solutions and study them in the context of fluid mechanics.
Cite
@article{arxiv.1906.01816,
title = {Matrix logarithmic wave equation and multi-channel systems in fluid mechanics},
author = {Konstantin G. Zloshchastiev},
journal= {arXiv preprint arXiv:1906.01816},
year = {2019}
}
Comments
6 pages, final version