Similarity solutions for nonlinear diffusion and related phenomena

@inproceedings{Hill1992SimilaritySF,
  title={Similarity solutions for nonlinear diffusion and related phenomena},
  author={James M. Hill},
  year={1992}
}
The nonlinear diffusion equation with general diffusivity D(c), namely oc = !__ (n(c) oc), ot ox {)x (1) arises in many important areas of science and technology and considerable attention has been given to the power law diffusivities D( c) = n( c + {3)"' where a, {J and m denote constants or with appropriate change of variables simply D(c) = c"'. It happens that the few known exact solutions of 8c _ },_ ( m tJc ) 8t ax c ox • (2) tum out to be similarity solutions, even though originally they… CONTINUE READING