Minisymposium: Nonlinear Diffusion Processes: Cross Diffusion, Complex Diffusion and Related Topics

2017 ◽  
pp. 383-384
Author(s):  
Adérito Araújo ◽  
Sílvia Barbeiro ◽  
Ángel Durán ◽  
Eduardo Cuesta
Keyword(s):  
Nonlinear Diffusion ◽  
Diffusion Processes ◽  
Cross Diffusion ◽  
Complex Diffusion

scholarly journals Slowly Modulated Oscillations in Nonlinear Diffusion Processes

1977 ◽  
Vol 33 (2) ◽  
pp. 217-229 ◽  
Author(s):  
Donald S. Cohen ◽  
Frank C. Hoppensteadt ◽  
Robert M. Miura
Keyword(s):  
Nonlinear Diffusion ◽  
Diffusion Processes

scholarly journals Nonlinear diffusivity dependence on dimensions

2015 ◽  
Vol 56 ◽  
Author(s):  
Arvydas Juozapas Janavičius ◽  
Sigita Turskienė ◽  
Kęstutis Žilinskas
Keyword(s):  
Diffusion Equation ◽  
Nonlinear Diffusion ◽  
Diffusion Processes ◽  
Three Dimensional ◽  
Nonlinear Diffusion Equation ◽  
Classical Solutions ◽  
Second Law ◽  
Tail Region ◽  
Linear Diffusion ◽  
Good Coincidence

The nonlinear diffusion equation corresponds to the diffusion processes which can occur with a finite velocity. This statement is not satisfied in Fick’s second law or linear diffusion equation. The processes by which different materials mix in the result of the random Brownian motions of atoms, molecules and ions can be exactly described only with presented nonlinear equation. It was important in practice that theoretically profiles fit with the experimental profiles tail region, but get good coincidence between diffusion experiments and the classical solutions is impossible. By using obtained theoretical solutions for two and three-dimensional cases we can provide more exact modeling of all the stages of a planar transistor formation.

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