Existence result of the global attractor for a triply nonlinear thermistor problem

Existence result of the global attractor for a triply nonlinear thermistor problem

We study the existence and uniqueness of a bounded weak solution for a triply nonlinear thermistor problem in Sobolev spaces. Furthermore, we prove the existence of an absorbing set and, consequently, the universal attractor.

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Veröffentlicht in:Moroccan journal of pure and applied analysis 2023-01, Vol.9 (1), p.27-47
Hauptverfasser: Ammi, Moulay Rchid Sidi, Dahi, Ibrahim, Hachimi, Abderrahmane El, Torres, Delfim F. M.
Format: Artikel
Sprache:eng
Schlagworte:
35A01
35A02
46E35
absobsing set
Existence
global attractor
invariant set
limit
semi-group
Sobolev spaces
thermistor problem
uniqueness
ω−limit
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Beschreibung
Zusammenfassung:We study the existence and uniqueness of a bounded weak solution for a triply nonlinear thermistor problem in Sobolev spaces. Furthermore, we prove the existence of an absorbing set and, consequently, the universal attractor.
ISSN:2351-8227
2351-8227
DOI:10.2478/mjpaa-2023-0002