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- Title
Long-time behavior for fractional wave equations governed by bi-harmonic operator.
- Authors
Nascimento, Marcelo; Pelicer, Maurício; Picolli, Iago
- Abstract
In this paper we consider a semilinear second order in time fractional wave equation governed by bi-harmonic operator with clamped boundary conditions in a bounded smooth domain that models flight structures. We address the problem of the local and global well-posedness, and we establish the existence of a compact global attractor for the associated evolution semigroup and show that the family of global attractors is upper semicontinuous.
- Subjects
BIHARMONIC equations; WAVE equation; SEMILINEAR elliptic equations
- Publication
Discrete & Continuous Dynamical Systems - Series B, 2024, Vol 29, Issue 6, p1
- ISSN
1531-3492
- Publication type
Article
- DOI
10.3934/dcdsb.2023200