Abstract
In this paper, we investigate the magnetohydrodynamic system with exponential type damping \(\alpha (e^{\beta |u|^2}-1)u\). We prove existence of a global in time weak solution and a global in time unique strong solutions, for any \(\alpha,\beta\in(0,\infty)\). The proofs are based on energy methods and use compactness argument for the existence results, and Gronwall lemma for the uniqueness. Friedrich approximation and standard techniques are also used.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.