Note on the number of steady states for a two-dimensional Smoluchowski equation

Peter Constantin, Jesenko Vukadinovic
2004 Nonlinearity  
Dynamics of concentrated polymer solutions are modelled by a Smoluchowski equation. At high concentrations, such solutions form liquid crystalline polymers of nematic structure. We prove that at high intensities the twodimensional Smoluchowski equation possesses exactly two steady states, corresponding to the isotropic and the nematic phases.
doi:10.1088/0951-7715/18/1/022 fatcat:uhbj2sqc6rbsfhkw4pre5olmmy