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Volume 33, Issue 3
On the Radius of Spatial Analyticity for the Inviscid Boussinesq Equations

Feng Cheng & Chao-Jiang Xu

DOI: 10.4208/jpde.v33.n3.4

J. Part. Diff. Eq., 33 (2020), pp. 235-248.

Published online: 2020-06

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  • 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.

  • AMS Subject Headings

35Q35, 35B65, 76B03

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

fengcheng@hubu.edu.cn (Feng Cheng)

xuchaojiang@nuaa.edu.cn (Chao-Jiang Xu)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-33-235, author = {Cheng , Feng and Xu , Chao-Jiang}, title = {On the Radius of Spatial Analyticity for the Inviscid Boussinesq Equations}, journal = {Journal of Partial Differential Equations}, year = {2020}, volume = {33}, number = {3}, pages = {235--248}, 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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v33.n3.4}, url = {http://global-sci.org/intro/article_detail/jpde/17072.html} }
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.

Cheng , Feng and Xu , Chao-Jiang. (2020). On the Radius of Spatial Analyticity for the Inviscid Boussinesq Equations. Journal of Partial Differential Equations. 33 (3). 235-248. doi:10.4208/jpde.v33.n3.4
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