180 citations · 1.5k across the 41 of their papers we have counts for
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The generalized Cattaneo (telegrapher's) equation and corresponding random walks
K. Górska, A. Horzela, E. K. Lenzi +2
The various types of generalized Cattaneo, called also telegrapher's equation, are studied. We find conditions under which solutions of the equations considered so far can be recog…
Learning physical properties of liquid crystals with deep convolutional neural networks
Higor Y. D. Sigaki, Ervin K. Lenzi, Rafael S. Zola +2
Machine learning algorithms have been available since the 1990s, but it is much more recently that they have come into use also in the physical sciences. While these algorithms hav…
A numerical method for a class of nonlinear fractional advection-diffusion equations
Jocemar Q. Chagas, Giuliano G. La Guardia, Ervin K. Lenzi
In this note, a numerical method based on finite differences to solve a class of nonlinear advection-diffusion fractional differential equation is proposed. The fractional operator…
Quenched and Annealed Disorder Mechanisms in Comb-Models with Fractional Operators
A. A. Tateishi, H. V. Ribeiro, T. Sandev +2
Recent experimental findings on anomalous diffusion have demanded novel models that combine annealed (temporal) and quenched (spatial or static) disorder mechanisms. The comb-model…