Nonlinear diffusion equation, solutions and anomalous diffusion - DOI: 10.4025/actascitechnol.v29i2.702

Authors

  • Renata Ferreira Colli Badini UEM Author
  • Giane Gonçalves UEM Author
  • Marcelo Kaminski Lenzi UFPR Author
  • Onélia Aparecida Andreo dos Santos UEM Author
  • Luiz Mário de Matos Jorge UEM Author
  • Ervin Kaminski Lenzi Fí­sica - UEM Author

DOI:

https://doi.org/10.4025/actascitechnol.v29i2.702

Keywords:

equação de difusão não linear, soluções, difusão anômala

Abstract

This work aimed to investigate a nonlinear diffusion equation by considering the presence of a time dependent diffusion coefficient, convective and absorbent terms. The nonlinear terms present in the diffusion equation are consequence of employing a nonlinear generalization of Darcy´s law or a nonlinear absorbent term, which may be related to a reaction diffusion process. Particularly, we will obtain new classes of solutions, analyze the effects produced by these terms and the relation of the results presented here with anomalous diffusion.

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Author Biography

  • Ervin Kaminski Lenzi, Fí­sica - UEM
    Possui graduação em Fí­sica pela Universidade Estadual de Maringá (1996) , mestrado em Fí­sica pelo Centro Brasileiro de Pesquisas Fí­sicas (1998) , doutorado em Fí­sica pelo Centro Brasileiro de Pesquisas Fí­sicas (2002) , ensino-fundamental-primeiro-grau pelo Colégio Marista de Maringá (1989) e ensino-medio-segundo-grau pelo Colégio Marista de Maringá (1992) . Atualmente é Professor Adjunto da Universidade Estadual de Maringá, Revisor de periódico da Physical Review E - Statistical Physics, Plasmas, Fluids and Related Interd, Revisor de periódico da Physica. A, Revisor de periódico da Physical Review Letters, Revisor de periódico da Physics Letters A, Membro de corpo editorial da Acta Scientiarum (UEM) e Revisor de periódico da Journal of Physics. A, Mathematical and Theoretical. Tem experiência na área de Fí­sica , com ênfase em Fí­sica Geral. Atuando principalmente nos seguintes temas: não extensivo, transporte, difusão anômala. Currí­culo Lattes

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Published

2008-02-12

Issue

Vol. 29 No. 2 (2007)

Section

Chemical Engineering

License

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How to Cite

Nonlinear diffusion equation, solutions and anomalous diffusion - DOI: 10.4025/actascitechnol.v29i2.702. (2008). Acta Scientiarum. Technology, 29(2), 165-171. https://doi.org/10.4025/actascitechnol.v29i2.702

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