Abstract
In this paper, we consider a dissipative singularly non-autonomous semilinear problem in thermoelasticity for N-dimensional materials. Under suitable conditions on nonlinearity and functional parameters, we prove a result of existence of pullback attractor via decomposition of the displacement vector field motivated by Helmholtz decomposition from vector calculus.
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The authors would like to thank the anonymous referees for their comments and suggestions which greatly improved the work.
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This work was supported by CNPq/Brazil (Grant Number # 303039/2021-3).
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Bezerra, F.D.M., Narciso, V. Pullback dynamics for a class of non-autonomous Lamé thermoelastic system. Z. Angew. Math. Phys. 74, 118 (2023). https://doi.org/10.1007/s00033-023-02012-x
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DOI: https://doi.org/10.1007/s00033-023-02012-x