University of Guilan Journal of Mathematical Modeling 2345-394X 13 1 2025 03 01 Lower bounds of spatial analyticity radius for Benjamin-Bona-Mahony equation on the circle 201 208 8167 10.22124/jmm.2024.28211.2490 EN Tegegne Getachew Department of Mathematics, Mekdela Amba University, Ethiopia Journal Article 2024 08 19 It is shown  that the radius of spatial analyticity $\sigma(t)$ of the  solution $u(t)$ for the Benjamin-Bona-Mahony equation on the circle  does not decay faster than {$c|t|^{-2/3}$} (for some constant $c>0$) as $|t| \to \infty$ . This improves the work [A. A. Himonas, G. Petronilho, Evolution of the radius of spatial analyticity for the periodic Benjamin-Bona-Mahony Equation, Proc. Amer. Math. Soc. 148 (2020) 2953--2967], where the authors obtained a decay rate of order $ct^{-1}$ for large $t$.     The proof of our main theorems is based on a modified Gevrey space, Cauchy-Schwartz inequality, a method of almost conservation law and  Sobolev embedding. https://jmm.guilan.ac.ir/article_8167_621c1b22fe8312a551977998fd24675f.pdf