Wen, Zhihong2022-09-192022-09-192017-11-21Wen, Z. (2017). Improved lifespan of solutions to an inviscid surface quasi-geostrophic model. <i>Electronic Journal of Differential Equations, 2017</i>(290), pp. 1-6.1072-6691https://hdl.handle.net/10877/16151This article consider the two-dimensional (2D) inviscid surface quasi-geostrophic (SQG) model. By studying the decay estimate of the operator eR21t, we obtain an improved lifespan of the solutions to the corresponding model. More precisely, if the initial data is of size ε, then the lifespan satisfies Tε ≃ ε-4/3, which improves the result obtained via hyperbolic methods.Text6 pages1 file (.pdf)enAttribution 4.0 InternationalSurface quasi-geostrophic equationLifespanDecay estimateArticle