Abstract
In this paper, we study the longtime dynamics for the weakly damped wave equation with quintic non-linearity in a bounded smooth domain of R3. Based on the Strichartz estimates for the case of bounded domains, we establish the existence of a strong global attractor in the phase space H2(Ω)∩H01(Ω)×H01(Ω). Moreover, the finite fractal dimension of the attractor is also shown with the help of the quasi-stable estimation.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: 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.
