The electrical conductivity of 4% β-cyclodextrin in water solution had been measured by electrode method from（323.65~353.65） K at atmospheric pressure. The experimental data were correlated with the modified Arrhen...The electrical conductivity of 4% β-cyclodextrin in water solution had been measured by electrode method from（323.65~353.65） K at atmospheric pressure. The experimental data were correlated with the modified Arrhenius equation, and themodel estimations showed good agreement with the experimental data.展开更多
The incompressible magnetohydrodynamics system with variable density is coupled by the incompressible Navier-Stokes equations with variable density and the Maxwell equations.In this paper,we study a new first-order Eu...The incompressible magnetohydrodynamics system with variable density is coupled by the incompressible Navier-Stokes equations with variable density and the Maxwell equations.In this paper,we study a new first-order Euler semi-discrete scheme for solving this system.The proposed numerical scheme is unconditionally stable for any time step size τ>0.Furthermore,a rigorous error analysis is presented and the first-order temporal convergence rate O(τ)is derived by using the method of mathematical induction and the discrete maximal Lp-regularity of the Stokes problem.Finally,numerical results are given to support the theoretical analysis.展开更多
This paper aims to study a second-order semi-implicit BDF finite element scheme for the Kuramoto-Tsuzuki equations in two dimensional and three dimensional spaces.The proposed scheme is stable and the nonlinear term i...This paper aims to study a second-order semi-implicit BDF finite element scheme for the Kuramoto-Tsuzuki equations in two dimensional and three dimensional spaces.The proposed scheme is stable and the nonlinear term is linearized by the extrapolation technique.Moreover,we prove that the error estimate in L^(2)-norm is unconditionally optimal which means that there has not any restriction on the time step and the mesh size.Finally,numerical results are displayed to illustrate our theoretical analysis.展开更多
文摘The electrical conductivity of 4% β-cyclodextrin in water solution had been measured by electrode method from（323.65~353.65） K at atmospheric pressure. The experimental data were correlated with the modified Arrhenius equation, and themodel estimations showed good agreement with the experimental data.
基金supported by National Natural Science Foundation of China(No.11771337)Natural Science Foundation of Zhejiang Province(No.LY23A010002).
文摘The incompressible magnetohydrodynamics system with variable density is coupled by the incompressible Navier-Stokes equations with variable density and the Maxwell equations.In this paper,we study a new first-order Euler semi-discrete scheme for solving this system.The proposed numerical scheme is unconditionally stable for any time step size τ>0.Furthermore,a rigorous error analysis is presented and the first-order temporal convergence rate O(τ)is derived by using the method of mathematical induction and the discrete maximal Lp-regularity of the Stokes problem.Finally,numerical results are given to support the theoretical analysis.
基金supported by the Natural Science Foundation of Zhejiang Province with Grant No.LY18A010021.
文摘This paper aims to study a second-order semi-implicit BDF finite element scheme for the Kuramoto-Tsuzuki equations in two dimensional and three dimensional spaces.The proposed scheme is stable and the nonlinear term is linearized by the extrapolation technique.Moreover,we prove that the error estimate in L^(2)-norm is unconditionally optimal which means that there has not any restriction on the time step and the mesh size.Finally,numerical results are displayed to illustrate our theoretical analysis.
