A Remark on Persistence of Regularity for the Nonlinear Boussinesq System in Dimension Two
- ISSN号:1002-0462
- 期刊名称:《数学季刊:英文版》
- 时间:0
- 分类:O175.29[理学—数学;理学—基础数学]
- 作者机构:[1]College of Information Science and Technology, Donghua University, Shanghai 201620, China, [2]De-partment of Applied Mathematics, Zhongyuan University of Technology, Zhengzhou 450007, China
- 相关基金:Supported by the National Natural Science Foundation of China(11271066); Supported by the Innovation Program of Shanghai Municipal Education Commission(13ZZ048); Supported by the the Science Foundation of Hebei Province(A2013410007); Supported by the Fundamental Research Funds for the Central Universities(SUSF-DH-D-2015085)
中文摘要:
This paper investigates the Cauchy problem for the nonlinear Boussinesq system in dimension two, and prove that for any initial data(u0, θ0) in H1+s×H1+s, where s ∈(0, 1),the persistence of regularity holds.
英文摘要:
This paper investigates the Cauchy problem for the nonlinear Boussinesq system in dimension two, and prove that for any initial data(u_0, θ_0) in H~(1+s)×H~(1+s), where s ∈(0, 1),the persistence of regularity holds.