高维空间中阻尼Boussinesq方程初值问题的整体解

刘诗焕,朱先阳

doi:10.13718/j.cnki.xsxb.2018.09.001

西南师范大学学报(自然科学版)

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高维空间中阻尼Boussinesq方程初值问题的整体解

刘诗焕,朱先阳. 高维空间中阻尼Boussinesq方程初值问题的整体解[J]. 西南师范大学学报(自然科学版), 2018, 43(9): 1-5. doi: 10.13718/j.cnki.xsxb.2018.09.001

引用本文:

刘诗焕,朱先阳. 高维空间中阻尼Boussinesq方程初值问题的整体解[J]. 西南师范大学学报(自然科学版), 2018, 43(9): 1-5. doi: 10.13718/j.cnki.xsxb.2018.09.001

LIU Shi-huan, ZHU Xian-yang. On Global Solution of Initial Problem for a Damped Boussinesq Equation in Higher Space Dimensions[J]. Journal of Southwest China Normal University(Natural Science Edition), 2018, 43(9): 1-5. doi: 10.13718/j.cnki.xsxb.2018.09.001

Citation:

LIU Shi-huan, ZHU Xian-yang. On Global Solution of Initial Problem for a Damped Boussinesq Equation in Higher Space Dimensions[J]. Journal of Southwest China Normal University(Natural Science Edition), 2018, 43(9): 1-5. doi: 10.13718/j.cnki.xsxb.2018.09.001

高维空间中阻尼Boussinesq方程初值问题的整体解

刘诗焕,朱先阳

井冈山大学数理学院, 江西吉安 343009

On Global Solution of Initial Problem for a Damped Boussinesq Equation in Higher Space Dimensions

LIU Shi-huan, ZHU Xian-yang

School of Mathematics and Physics, Jinggangshan University, Ji'an Jiangxi 343009, China

摘要: 运用Fourier变换方法和迭代技巧研究了一类广义阻尼Boussinesq方程的初值问题.在Sobolev空间中得到了这类Boussinesq方程初值问题整体解的存在唯一性.
- Boussinesq方程 /
- 初值问题 /
- 整体解
Abstract: The global solution of initial problem for a generalized damped Boussinesq equation in higher space dimensions is studied. By means of Fourier method and iterative technique, the existence and uniqueness of the global solution are established in a suitable Sobolev space.
- Boussinesq equation /
- initial problem /
- global solution .

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