arXiv:2301.08561 Abstract | arXiv Analytics

arXiv:2301.08561 [math.AP]Abstract References Reviews Resources

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

Moulay Rchid Sidi Ammi, Ibrahim Dahi, Abderrahmane El Hachimi, Delfim F. M. Torres

Published 2023-01-08Version 1

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.

Comments: This is a 19 pages preprint of a paper whose final and definite form is published in 'Moroccan J. of Pure and Appl. Anal. (MJPAA)', ISSN: Online 2351-8227 -- Print 2605-6364

Categories: math.AP, math.FA

Subjects: 35A01, 35A02, 46E35

Keywords: triply nonlinear thermistor problem, existence result, global attractor, sobolev spaces, universal attractor

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