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Einstein-Gauss-Bonnet theory is a string-generated gravity theory whenapproaching the low energy limit. By introducing the higher order curvatureterms, this theory is supposed to help to solve the black hole singularityproblem. In this work, we investigate the evaporation of the static sphericallysymmetric neutral AdS black holes in Einstein-Gauss-Bonnet gravity in variousspacetime dimensions with both positive and negative couping constant $\alpha$.By summarizing the asymptotic behavior of the evaporation process, we find thelifetime of the black holes is dimensional dependent. For $\alpha>0$, in$D\geqslant6$ cases, the black holes will be completely evaporated in a finitetime, which resembles the Schwarzschild-AdS case in Einstein gravity. While in$D=4,5$ cases, the black hole lifetime is always infinite, which means theblack hole becomes a remnant in the late time. Remarkably, the cases of$\alpha>0, D=4,5$ will solve the terminal temperature divergent problem of theSchwarzschild-AdS case. For $\alpha<0$, in all dimensions, the black hole willalways spend a finite time to a minimal mass corresponding to the smallesthorizon radius $r_{min}=\sqrt{2|\alpha|}$ which coincide with an additionalsingularity. This implies that there may exist constraint conditions to thechoice of coupling constant.

Hawking evaporation of Einstein-Gauss-Bonnet AdS black holes in $D\geqslant 4$ dimensions