| Title |
Equations for nonlinear diffusion / |
| Authors |
Janavičius, Arvydas Juozapas |
| DOI |
10.15388/LMR.2010.02 |
| Full Text |
|
| Is Part of |
Lietuvos matematikos rinkinys. 2010, T. 51. ISSN 0132-2818 |
| Keywords [eng] |
Diffusion ; Diffusion coefficient ; Nonlinear diffusion equation ; Analytical solutions |
| Abstract [eng] |
The diffusion is the result of Brownian movement and occurs with a finite velocity. We presented the nonlinear diffusion equation, with diffusion coefficient directly proportional to the impurities concentration. Analytical solutions, showing that the maximum displacements of diffusing particles are proportional to the square root of diffusion time like for Brownian movement, was obtained. For small concentrations of impurities, nonlinear diffusion equation transforms to linear. |
| Type |
Journal article |
| Language |
English |
| Publication date |
2010 |
| CC license |
|
