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Variational principle of the one-dimensional convection–dispersion equation with fractal derivatives.
- Source :
-
International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics . 7/30/2021, Vol. 35 Issue 19, p1-10. 10p. - Publication Year :
- 2021
-
Abstract
- The convection–dispersion equation has always been a classic equation for studying pollutant migration models. There are certain deviations in scientific research because of the existence of the impurity of the medium and the nonsmooth boundary. In this paper, we introduced the one-dimensional convection–dispersion equation with fractal derivatives in fractal space, and established the fractal variational formula of the equation through the semi-inverse method. The fractal variational formula we have obtained can provide the conservation laws in an energy form in the fractal space and possible solution structures of the given equation. An analytical solution is obtained through the two-scale transform method and Laplace transform. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02179792
- Volume :
- 35
- Issue :
- 19
- Database :
- Academic Search Index
- Journal :
- International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics
- Publication Type :
- Academic Journal
- Accession number :
- 152006406
- Full Text :
- https://doi.org/10.1142/S0217979221501952