Viscous coupled fluids in terms of a log-corrected equation-of-state

We consider a class of cosmological fluids that possess properties analogous to those crystalline solids undergoing isotropic deformations. Our research is based on modified log-corrected power-law equation state in the presence bulk viscosity. This formalism represents so-called logotropic fluids, and allows explaining an accelerating late-time universe. In order obtain more detailed picture its evolution, we add our model coupling fluid dark matter, study various interacting forms between them. solve system equations for log-power-law coupled expressions energy density, density matter. A comparative analysis made with nonviscous without interaction