%0 Journal Article
%T Equa  o da difus o fracion¨¢ria n o-linear: solu  o exata = Nonlinear fractional diffusion equation: exact solutions
%A Giane Gon£¿alves
%A Marcelo Kaminski Lenzi
%A Ervin Kaminski Lenzi
%A Fernando Jos¨¦ Antonio
%J Acta Scientiarum : Technology
%D 2006
%I Editora da Universidade Estadual de Maring¨¢
%X Neste trabalho investigaremos as solu  es de uma equa  o da difus ogeneralizada que cont¨¦m derivadas fracion¨¢rias aplicadas a vari¨¢vel espacial e termos n olineares. Nesta equa  o tamb¨¦m consideraremos a presen a de for as externas e termos absorventes. As solu  es encontradas aqui poder o ter um comportamento de cauda curtaou longa. Em particular, no ¨²ltimo caso que ¨¦ caracterizado pelas distribui  es de cauda longa ser¨¢ relacionado com as distribui  es de L¨¦vy. Al¨¦m disso, a partir dos resultados encontrados aqui, poderemos obter uma rica classe de processos difusivos incluindo normais e an malos. We devote this work to investigate the solutions of a generalized diffusion equation which contains spatial fractional derivatives and nonlinear terms. The presence of external forces and absorbent terms is also considered. The solutions found here can have a compact or long tail behavior. Particularly in the last case in the asymptotic limit, we relate these solutions to the L¨¦vy or Tsallis distributions. In addition, from the results presented here, a rich class of diffusive processes, including normal and anomalous ones, can be obtained.
%K difus o an mala
%K equa  o de difus o n o linear
%K distribui  es de L¨¦vy
%K anomalous diffusion
%K nonlinear diffusion equation
%K L¨¦vy distributions
%U http://periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/1285/717