Particle hydrodynamic moment models in biology and microelectronics: Singular relaxation limits. (English) Zbl 0912.92001
Existence, uniqueness and asymptotic decay of global smooth solutions are established, by use of the energy method, for the reduced hydrodynamic model frequently implemented in the simulation of semiconductor devices or, more recently, of open ionic channels. The analysis is then extended to the more elaborate hydrodynamic model, to cover existence of global smooth solutions and their singular relaxation limits. Complete proofs of some of the results are still to be published.
Reviewer: Nikolai L.Vulchanov (Warszawa)
MSC:
| 92C05 | Biophysics |
| 82B40 | Kinetic theory of gases in equilibrium statistical mechanics |
| 82C40 | Kinetic theory of gases in time-dependent statistical mechanics |
| 92C45 | Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) |
Keywords:
drift-diffusion model; uniqueness; asymptotic decay; reduced hydrodynamic model; ionic channels; existence; global smooth solutions; relaxation limitsReferences:
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