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Analysis of a hybri...
Analysis of a hybrid model for the electro-thermal behavior of semiconductor heterostructures
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- Glitzky, Annegret (author)
- Weierstrass Institute for Applied Analysis and Stochastics, DEU
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- Liero, Matthias (author)
- Weierstrass Institute for Applied Analysis and Stochastics, DEU
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- Nika, Grigor (author)
- Karlstads universitet,Institutionen för matematik och datavetenskap (from 2013),Weierstrass Institute for Applied Analysis and Stochastics, DEU
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(creator_code:org_t)
- Elsevier, 2022
- 2022
- English.
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In: Journal of Mathematical Analysis and Applications. - : Elsevier. - 0022-247X .- 1096-0813. ; 507:2
- Related links:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Subject headings
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- We prove existence of a weak solution for a hybrid model for the electro-thermal behavior of semiconductor heterostructures. This hybrid model combines an electro-thermal model based on drift-diffusion with thermistor type models in different subregions of the semiconductor heterostructure. The proof uses a regularization method and Schauder's fixed point theorem. For boundary data compatible with thermodynamic equilibrium we verify, additionally, uniqueness. Moreover, we derive bounds and higher integrability properties for the electrostatic potential and the quasi Fermi potentials as well as the temperature.
Subject headings
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Keyword
- Drift-diffusion
- Charge & heat transport
- Electro-thermal interaction
- Semiconductor heterostructures
- Hybrid modeling
- Weak solutions
- Matematik
- Mathematics
Publication and Content Type
- ref (subject category)
- art (subject category)
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