TITLE:
Global Existence of Solutions to the Timoshenko-Fourier System in Critical Besov Spaces
AUTHORS:
Hongmei Cao, Xinai Fu
KEYWORDS:
Timoshenko-Fourier System, Regularity-Loss, Critical Besov Spaces
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.13 No.9,
September
23,
2025
ABSTRACT: In this work, we are concerned with the Timoshenko-Fourier system in both equal and non-equal wave speeds, which admits a non-symmetric dissipation. Furthermore, the dissipative mechanism of regularity-loss type will occur in the case of non-equal wave speeds. We establish the global-in-time existence of solutions to the Timoshenko-Fourier system in critical Besov spaces with the regularity
s=
3
2
.