Journal of Theoretical
and Applied Mechanics
0, 0, pp. , Warsaw 0

Matrix logarithmic wave equation and multi-channel systems in fluid mechanics

Konstantin G Zloshchastiev
We generalize quantum wave equations of a logarithmic type to matrix equations. We mapped the resulting equation to flow equations of the multi-channel or multi-component Korteweg-type materials including fluids with internal surface tension and capillary effects. For some special cases, we analytically derive a Gaussian-type matrix solutions and study them in a context of fluid mechanics.
Keywords: fluid mechanics; wave mechanics; nonlinear wave

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