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On the Radius of Spatial Analyticity for the Inviscid Boussinesq Equations |
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| Authors: | Feng Cheng & Chao-Jiang Xu |
| Institution: | Hubei Key Laboratory of Applied Mathematics, Faculty of Mathematics and Statistics, Hubei University, Wuhan 430062, China;Department of Mathematics, Nanjing University of Aeronautics and Astronautics,Nanjing 211106, China;Université de Rouen, CNRS UMR 6085, Laboratoire de Mathématiques, 76801 Saint-Etienne du Rouvray, France |
| Abstract: | 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. |
| Keywords: | Boussinesq equations analyticity radius of analyticity |
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