The author reviews briefly some of the recent results on the blow-up problem for the incompressible Euler equations on RN,and also presents Liouville type theorems for the incompressible and compressible fluid equations.
Numerical approximations of Cahn-Hilliard phase-field model for the two-phase incompressible flows are considered in this paper.Several efficient and energy stable time discretization schemes for the coupled nonlinear...Numerical approximations of Cahn-Hilliard phase-field model for the two-phase incompressible flows are considered in this paper.Several efficient and energy stable time discretization schemes for the coupled nonlinear Cahn-Hilliard phase-field system for both the matched density case and the variable density case are constructed,and are shown to satisfy discrete energy laws which are analogous to the continuous energy laws.展开更多
基金Project supported by KRF Grant (MOEHRD,Basic Research Promotion Fund)
文摘The author reviews briefly some of the recent results on the blow-up problem for the incompressible Euler equations on RN,and also presents Liouville type theorems for the incompressible and compressible fluid equations.
基金supported by the National Science Foundation(No. DMS-0915066)
文摘Numerical approximations of Cahn-Hilliard phase-field model for the two-phase incompressible flows are considered in this paper.Several efficient and energy stable time discretization schemes for the coupled nonlinear Cahn-Hilliard phase-field system for both the matched density case and the variable density case are constructed,and are shown to satisfy discrete energy laws which are analogous to the continuous energy laws.
