Some results for an N-dimensional nonlinear diffusion equation with radial symmetry

Some results for an N-dimensional nonlinear diffusion equation with radial symmetry

E. K. Lenzi, M. K. Lenzi, T. M. Gimenez, L. R. da Silva, J Eng Math 67, 233 (2010). PDF | DOI

The solutions of a nonlinear diffusion equation by considering the radially symmetric N-dimensional case are investigated. This equation has the nonlinearity present in the diffusive term and external force. The solutions are obtained by using a similarity method and connected to the q-exponential and q-logarithmic functions which emerge from the Tsallis formalism. In addition, the results obtained here may be useful to investigate a rich class of situations related to anomalous diffusion.