TY - JOUR
T1 - On the global well-posedness of a generalized 2D Boussinesq equations
AU - Jia, Junxiong
AU - Peng, Jigen
AU - Li, Kexue
N1 - Publisher Copyright:
© 2015, Springer Basel.
PY - 2015/8/21
Y1 - 2015/8/21
N2 - In this paper, we consider the global solutions to a generalized 2D Boussinesq equation (Formula Presented), with σ≥0, γ≥0, ν>0, κ>0, α<1 and β<1. When σ=0, γ≥0, α∈[0.95,1) and β∈(1-α,g(α)), where g(α)<1 is an explicit function as a technical bound, we prove that the above equation has a global and unique solution in suitable functional space.
AB - In this paper, we consider the global solutions to a generalized 2D Boussinesq equation (Formula Presented), with σ≥0, γ≥0, ν>0, κ>0, α<1 and β<1. When σ=0, γ≥0, α∈[0.95,1) and β∈(1-α,g(α)), where g(α)<1 is an explicit function as a technical bound, we prove that the above equation has a global and unique solution in suitable functional space.
KW - 76D03
KW - 76D05
UR - https://www.scopus.com/pages/publications/84939573039
U2 - 10.1007/s00030-014-0309-7
DO - 10.1007/s00030-014-0309-7
M3 - 文章
AN - SCOPUS:84939573039
SN - 1021-9722
VL - 22
SP - 911
EP - 945
JO - Nonlinear Differential Equations and Applications
JF - Nonlinear Differential Equations and Applications
IS - 4
ER -