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Blow-up Solutions For a Thin-Film Equation With Strong Damping And Nonlocal Source Terms
  • Mustafa Polat
Mustafa Polat
Yeditepe Universitesi
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Abstract

In this note, we consider a modified thin-film equation including a strong damping term together with a non-local source term. The problem is considered under the periodic boundary conditions and a finite time blow-up result is established for the case of positive initial energy. Also a lower bound estimate for the blow-up time is obtained.

Peer review status:UNDER REVIEW

18 Apr 2021Submitted to Mathematical Methods in the Applied Sciences
19 Apr 2021Assigned to Editor
19 Apr 2021Submission Checks Completed
06 May 2021Reviewer(s) Assigned