A class of singularly perturbed initial boundary value problems for the reaction diffusion equations in a part of domain are considered. Using the operator theory the asymptotic behavior of solution for the problems i...A class of singularly perturbed initial boundary value problems for the reaction diffusion equations in a part of domain are considered. Using the operator theory the asymptotic behavior of solution for the problems is studied.展开更多
This article studies the inhomogeneous Moisil-Theodorsco system in the space R3, gives the integral expression of its solution, proves the Holder continuity of the solution. Moreover the author studies the Riemann-Hil...This article studies the inhomogeneous Moisil-Theodorsco system in the space R3, gives the integral expression of its solution, proves the Holder continuity of the solution. Moreover the author studies the Riemann-Hilbert boundary value problem for the Moisil-Theodorsco system in a cylindrical domain of R3, and gives the solvability conditions and the integral expressions of solutions. The Holder continuity of the solutions is proved.展开更多
Monotone sequences are constructed that converge to the ex tremal solutions of second order three point boundary value problems when the functions involved do not possess any monotone properties.
本文借助于上下解方法研究环域上带Neumann边界的平均曲率方程div v(x)1-|v(x)|2=f|x|,v,d v d r,x∈D∂v∂ν=0 x∈∂D径向解的存在性,其中A,B∈R,0<A<B,D={x∈R N:A≤|x|≤B}.f:[A,B]×R 2→R为连续函数,d v d r表示径向导数,...本文借助于上下解方法研究环域上带Neumann边界的平均曲率方程div v(x)1-|v(x)|2=f|x|,v,d v d r,x∈D∂v∂ν=0 x∈∂D径向解的存在性,其中A,B∈R,0<A<B,D={x∈R N:A≤|x|≤B}.f:[A,B]×R 2→R为连续函数,d v d r表示径向导数,∂v∂ν为外法向导数.文章通过构造方程的上下解来保证上述方程解的存在性.展开更多
The hear transfer mechanism and the constitutive models for energy boundary layer in power law fluids were investigated.Two energy transfer constitutive equations models were proposed based on the assumption of simila...The hear transfer mechanism and the constitutive models for energy boundary layer in power law fluids were investigated.Two energy transfer constitutive equations models were proposed based on the assumption of similarity of velocity field momentum diffusion and temperature field heat transfer.The governing systems of partial different equations were transformed into ordinary differential equations respectively by using the similarity transformation group.One model was assumed that Prandtl number is a constant,and the other model was assumed that viscosity diffusion is analogous to thermal diffusion.The solutions were presented analytically and numerically by using the Runge-Kutta formulas and shooting technique and the associated transfer characteristics were discussed.展开更多
文摘A class of singularly perturbed initial boundary value problems for the reaction diffusion equations in a part of domain are considered. Using the operator theory the asymptotic behavior of solution for the problems is studied.
基金Supported partially by the Key Project Foundation of the Education Department of Sichuan Province
文摘This article studies the inhomogeneous Moisil-Theodorsco system in the space R3, gives the integral expression of its solution, proves the Holder continuity of the solution. Moreover the author studies the Riemann-Hilbert boundary value problem for the Moisil-Theodorsco system in a cylindrical domain of R3, and gives the solvability conditions and the integral expressions of solutions. The Holder continuity of the solutions is proved.
文摘Monotone sequences are constructed that converge to the ex tremal solutions of second order three point boundary value problems when the functions involved do not possess any monotone properties.
文摘本文借助于上下解方法研究环域上带Neumann边界的平均曲率方程div v(x)1-|v(x)|2=f|x|,v,d v d r,x∈D∂v∂ν=0 x∈∂D径向解的存在性,其中A,B∈R,0<A<B,D={x∈R N:A≤|x|≤B}.f:[A,B]×R 2→R为连续函数,d v d r表示径向导数,∂v∂ν为外法向导数.文章通过构造方程的上下解来保证上述方程解的存在性.
基金Project(50476083) supported by the National Natural Science Foundation of China
文摘The hear transfer mechanism and the constitutive models for energy boundary layer in power law fluids were investigated.Two energy transfer constitutive equations models were proposed based on the assumption of similarity of velocity field momentum diffusion and temperature field heat transfer.The governing systems of partial different equations were transformed into ordinary differential equations respectively by using the similarity transformation group.One model was assumed that Prandtl number is a constant,and the other model was assumed that viscosity diffusion is analogous to thermal diffusion.The solutions were presented analytically and numerically by using the Runge-Kutta formulas and shooting technique and the associated transfer characteristics were discussed.
