TY - JOUR T1 - On the Radius of Spatial Analyticity for the Inviscid Boussinesq Equations AU - Cheng , Feng AU - Xu , Chao-Jiang JO - Journal of Partial Differential Equations VL - 3 SP - 235 EP - 248 PY - 2020 DA - 2020/06 SN - 33 DO - http://doi.org/10.4208/jpde.v33.n3.4 UR - https://global-sci.org/intro/article_detail/jpde/17072.html KW - Boussinesq equations, analyticity, radius of analyticity. AB -

In this paper, we study the problem of analyticity of smooth solutions of the inviscid Boussinesq equations. If the initial datum is real-analytic, the solution remains real-analytic on the existence interval. By an inductive method we can obtain a lower bound on the radius of spatial analyticity of the smooth solution.