Entropy method for generalized Poisson–Nernst–Planck equations
| Autor: | Victor A. Kovtunenko, José Rodrigo González Granada |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Algebra and Number Theory
Simplex 010102 general mathematics Poisson distribution 01 natural sciences 010101 applied mathematics symbols.namesake Entropy (classical thermodynamics) Nonlinear system Variational principle symbols Applied mathematics Nernst equation 0101 mathematics Balanced flow Conservation of mass Mathematical Physics Analysis Mathematics |
| Zdroj: | Analysis and Mathematical Physics. 8:603-619 |
| ISSN: | 1664-235X 1664-2368 |
| Popis: | A proper mathematical model given by nonlinear Poisson–Nernst–Planck (PNP) equations which describe electrokinetics of charged species is considered. The model is generalized with entropy variables associating the pressure and quasi-Fermi electro-chemical potentials in order to adhere to the law of conservation of mass. Based on a variational principle for suitable free energy, the generalized PNP system is endowed with the structure of a gradient flow. The well-posedness theorems for the mixed formulation (using the entropy variables) of the gradient-flow problem are provided within the Gibbs simplex and supported by a-priori estimates of the solution. |
| Databáze: | OpenAIRE |
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