Generalized Kinetic Equations with Fractional Time-Derivative and Nonlinear Diffusion: H-Theorem and Entropy

Autor(es)

Lenzi, Ervin K. ; Rosseto, Michely P. ; Gryczak, Derik W. ; Evangelista, Luiz R. ; da Silva, Luciano R. ; Lenzi, Marcelo K. ; Zola, Rafael S.

• Tipo de documento: Artigo Científico
• Fonte: Entropy; v. 26, n. 8, p. 18-pg., 2024-08-01.

Resumo

We investigate the H-theorem for a class of generalized kinetic equations with fractional time-derivative, hyperbolic term, and nonlinear diffusion. When the H-theorem is satisfied, we demonstrate that different entropic forms may emerge due to the equation's nonlinearity. We obtain the entropy production related to these entropies and show that its form remains invariant. Furthermore, we investigate some behaviors for these equations from both numerical and analytical perspectives, showing a large class of behaviors connected with anomalous diffusion and their effects on entropy. (AU)

• Processo FAPESP: 14/50983-3 - INCT 2014: fluidos complexos
• Beneficiário: Antonio Martins Figueiredo Neto
• Modalidade de apoio: Auxílio à Pesquisa - Temático