Existence result of the global attractor for a triply nonlinear thermistor problem-Reference-Cited by-同舟云学术

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

Published:2023-01-01 Issue:1 Volume:9 Page:27-47
ISSN:2351-8227
Container-title:Moroccan Journal of Pure and Applied Analysis
language:en
Short-container-title:

Author:

Ammi Moulay Rchid Sidi¹,Dahi Ibrahim²,Hachimi Abderrahmane El³,Torres Delfim F. M.⁴

Affiliation:

1. Department of Mathematics , AMNEA Group, MAIS Laboratory, Faculty of Sciences and Technics , Moulay Ismail B. P. 509 , Errachidia , Morocco .

2. Department of Mathematics, AMNEA Group , MAIS Laboratory, Faculty of Sciences and Technics , Moulay Ismail B. P. 509 , Errachidia , Morocco .

3. Department of Mathematics, Faculty of Sciences , Mohammed V University of Rabat , Morocco .

4. R&D Unit CIDMA, Department of Mathematics , University of Aveiro , Aveiro , Portugal .

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Analysis

Link

https://www.sciendo.com/pdf/10.2478/mjpaa-2023-0002

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