On the uniqueness and stability of solutions to the control problems for the electron drift–diffusion model
The issues of uniqueness and stability of solutions to the control problems for the model of electroninduced charging of an inhomogeneous polar dielectric are studied. Sufficient conditions for the uniqueness and stability of optimal solutions to the considered extremum problems are established, and the local estimates of their stability with respect to small perturbations of the cost functionals are derived.
Authors
- R.V. Brizitskii (ORCID: https://orcid.org/0000-0001-5439-2271)
- Надежда Николаевна Максимова (ORCID: https://orcid.org/0000-0002-8135-7399)
Institutions
- Russian Academy of Sciences (RU)
- Institute of Applied Mathematics (RU)
- Amur State University (RU)
Publication Details
- Journal
- Vestnik Udmurtskogo Universiteta Matematika Mekhanika Komp yuternye Nauki
- Published
- 2025-03-20
- DOI
- https://doi.org/10.35634/vm250102
- Primary Topic
- Gas Dynamics and Kinetic Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00