@Article{CAM-19-19, author = {}, title = {【短期课程】国家天元数学中部中心偏微分方程短期课程 | Theory on Well-Posed of Boussinesq Equations}, journal = {CAM-Net Digest}, year = {2022}, volume = {19}, number = {19}, pages = {5--5}, abstract = {

开课说明:

课程日期:2022年10月18/20/25日 11月01/03/08/10/15日

授课时间:14:00-16:15

课时数:3 课时/天,共24课时

腾讯会议ID:707-5138-2052

课程链接:https://meeting.tencent.com/dm/a7PJd0Wlj7gp

授课老师:许孝精 教授  北京师范大学

主办单位:国家天元数学中部中心、湖北国家应用数学中心、武汉大学数学与统计学院

欢迎参加课程交流学习!联系人:杨老师 电话:027-68788932   Email:  tmcc@whu.edu.cn

内容摘要:

1. Background

2. Local well-posed and blow-up criterion of Boussinesq equations

3. Global well-posed of Boussinesq equations in 2-dimension

  3.1 Full dissipation case

  3.2 Partial dissipation case

  3.3 Anisotropic dissipation case

  3.4 Fractional dissipation case

  3.5 Fractional-Anisotropic dissipation case

4. Asymptotic behavior of solution to Boussinesq equations

  4.1 Stability

  4.2 Zero dissipation limit

}, issn = {}, doi = {https://doi.org/2022-CAM-21061}, url = {https://global-sci.com/article/74957/theory-on-well-posed-of-boussinesq-equations} }