<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

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

AMNEA Group, MAIS Laboratory, Faculty of Sciences and Technics

MAIS Laboratory, Faculty of Sciences and Technics

Department of Mathematics, Faculty of Sciences

R&D Unit CIDMA, Department of Mathematics

Moroccan Journal of Pure and Applied Analysis

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 result of the global attractor for a triply nonlinear thermistor problem

Data publikacji: 01 lut 2023

Zakres stron: 27 - 47

Otrzymano: 10 lis 2022

Przyjęty: 30 gru 2022

DOI: https://doi.org/10.2478/mjpaa-2023-0002

Słowa kluczowe
Existence, uniqueness, thermistor problem, Sobolev spaces, global attractor, −limit, invariant set, absobsing set, semi-group

© 2023 Moulay Rchid Sidi Ammi, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Data publikacji: 01 lut 2023

Zakres stron: 27 - 47

Otrzymano: 10 lis 2022

Przyjęty: 30 gru 2022

DOI: https://doi.org/10.2478/mjpaa-2023-0002

Słowa kluczoweExistence, uniqueness, thermistor problem, Sobolev spaces, global attractor, −limit, invariant set, absobsing set, semi-group

© 2023 Moulay Rchid Sidi Ammi, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Słowa kluczowe
Existence, uniqueness, thermistor problem, Sobolev spaces, global attractor, −limit, invariant set, absobsing set, semi-group