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Volume 25, Issue 3
Local Well-posedness and Blow Up Criterion for the Inviscid Boussinesq System in Hölder Spaces

Xiaona Cui, Changsheng Dou & Quansen Jiu

DOI: 10.4208/jpde.v25.n3.3

J. Part. Diff. Eq., 25 (2012), pp. 220-238.

Published online: 2012-09

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  • Abstract

We prove the local in time existence and a blow up criterion of solution in the Hölder spaces for the inviscid Boussinesq system in R^N, N≥ 2, under the assumptions that the initial values θ_0, μ_0∈C^r, with 1< r≠ 2.

  • Keywords

Inviscid Boussinesq system local well-posedness blow-up criterion

  • AMS Subject Headings

35Q35, 76B03

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

cxn009@126.com (Xiaona Cui)

douchangsheng@163.com (Changsheng Dou)

jiuqs@mail.cnu.edu.cn (Quansen Jiu)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-25-220, author = {Cui , XiaonaDou , Changsheng and Jiu , Quansen}, title = {Local Well-posedness and Blow Up Criterion for the Inviscid Boussinesq System in Hölder Spaces}, journal = {Journal of Partial Differential Equations}, year = {2012}, volume = {25}, number = {3}, pages = {220--238}, abstract = {

We prove the local in time existence and a blow up criterion of solution in the Hölder spaces for the inviscid Boussinesq system in R^N, N≥ 2, under the assumptions that the initial values θ_0, μ_0∈C^r, with 1< r≠ 2.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v25.n3.3}, url = {http://global-sci.org/intro/article_detail/jpde/5185.html} }
TY - JOUR T1 - Local Well-posedness and Blow Up Criterion for the Inviscid Boussinesq System in Hölder Spaces AU - Cui , Xiaona AU - Dou , Changsheng AU - Jiu , Quansen JO - Journal of Partial Differential Equations VL - 3 SP - 220 EP - 238 PY - 2012 DA - 2012/09 SN - 25 DO - http://doi.org/10.4208/jpde.v25.n3.3 UR - https://global-sci.org/intro/article_detail/jpde/5185.html KW - Inviscid Boussinesq system KW - local well-posedness KW - blow-up criterion AB -

We prove the local in time existence and a blow up criterion of solution in the Hölder spaces for the inviscid Boussinesq system in R^N, N≥ 2, under the assumptions that the initial values θ_0, μ_0∈C^r, with 1< r≠ 2.

Cui , XiaonaDou , Changsheng and Jiu , Quansen. (2012). Local Well-posedness and Blow Up Criterion for the Inviscid Boussinesq System in Hölder Spaces. Journal of Partial Differential Equations. 25 (3). 220-238. doi:10.4208/jpde.v25.n3.3
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