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Volume 25, Issue 3
The Blow-up Phenomena for the Camassa-Holm Equation with a Zero Order Dissipation

Shuyin Wu & Hongxiu Yang

DOI: 10.4208/jpde.v25.n3.2

J. Part. Diff. Eq., 25 (2012), pp. 208-219.

Published online: 2012-09

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  • Abstract

In this paper, we study the Cauchy problem of the Camassa-Holm equation with a zero order dissipation. We establish local well-posedness and investigate the blow-up phenomena for the equation.

  • Keywords

Camassa-Holm equation zero order dissipation local well-posedness blow-up

  • AMS Subject Headings

35G25, 35L05

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

wusy@ynnu.edu.cn (Shuyin Wu)

yanghongxiu09@163.com (Hongxiu Yang)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-25-208, author = {Wu , Shuyin and Yang , Hongxiu}, title = {The Blow-up Phenomena for the Camassa-Holm Equation with a Zero Order Dissipation}, journal = {Journal of Partial Differential Equations}, year = {2012}, volume = {25}, number = {3}, pages = {208--219}, abstract = {

In this paper, we study the Cauchy problem of the Camassa-Holm equation with a zero order dissipation. We establish local well-posedness and investigate the blow-up phenomena for the equation.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v25.n3.2}, url = {http://global-sci.org/intro/article_detail/jpde/5184.html} }
TY - JOUR T1 - The Blow-up Phenomena for the Camassa-Holm Equation with a Zero Order Dissipation AU - Wu , Shuyin AU - Yang , Hongxiu JO - Journal of Partial Differential Equations VL - 3 SP - 208 EP - 219 PY - 2012 DA - 2012/09 SN - 25 DO - http://doi.org/10.4208/jpde.v25.n3.2 UR - https://global-sci.org/intro/article_detail/jpde/5184.html KW - Camassa-Holm equation KW - zero order dissipation KW - local well-posedness KW - blow-up AB -

In this paper, we study the Cauchy problem of the Camassa-Holm equation with a zero order dissipation. We establish local well-posedness and investigate the blow-up phenomena for the equation.

Wu , Shuyin and Yang , Hongxiu. (2012). The Blow-up Phenomena for the Camassa-Holm Equation with a Zero Order Dissipation. Journal of Partial Differential Equations. 25 (3). 208-219. doi:10.4208/jpde.v25.n3.2
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