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

Moulay Rchid Sidi Ammi

Moulay Rchid Sidi Ammi

Department of Mathematics, AMNEA Group, MAIS Laboratory, Faculty of Sciences and TechnicsErrachidia, Morocco
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Ammi, Moulay Rchid Sidi
, 
Ibrahim Dahi

Ibrahim Dahi

Department of Mathematics, AMNEA Group, MAIS Laboratory, Faculty of Sciences and TechnicsErrachidia, Morocco
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Dahi, Ibrahim
, 
Abderrahmane El Hachimi

Abderrahmane El Hachimi

Department of Mathematics, Faculty of Sciences, Mohammed V University of RabatMorocco
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Hachimi, Abderrahmane El
 and 
Delfim F. M. Torres

Delfim F. M. Torres

R&D Unit CIDMA, Department of Mathematics, University of AveiroAveiro, Portugal
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Torres, Delfim F. M.
  
Feb 01, 2023
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Published Online: Feb 01, 2023
Page range: 27 - 47
Received: Nov 10, 2022
Accepted: Dec 30, 2022
DOI: https://doi.org/10.2478/mjpaa-2023-0002
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© 2023 Moulay Rchid Sidi Ammi, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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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English
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Journal Subjects:
Mathematics, Analysis, Differential Equations and Dynamical Systems, Probability and Statistics, Numerical and Computational Mathematics
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