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
该文运用锥上的不动点定理研究非线性二阶常微分方程无穷多点边值问题u″+α(t)f(u)=0,t∈(0,1), u(0)=0,u(1)=sum from i=1 to∞(α_iu(ξ_i)正解的存在性。其中ξ_i∈(0,1),α_i∈[0,∞),且满足sum from i=1 to∞(α_iξ_i)<1.a∈C...该文运用锥上的不动点定理研究非线性二阶常微分方程无穷多点边值问题u″+α(t)f(u)=0,t∈(0,1), u(0)=0,u(1)=sum from i=1 to∞(α_iu(ξ_i)正解的存在性。其中ξ_i∈(0,1),α_i∈[0,∞),且满足sum from i=1 to∞(α_iξ_i)<1.a∈C([0,1],[0,∞)),f∈C([0,∞),[0,∞)).展开更多
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.
文摘该文运用锥上的不动点定理研究非线性二阶常微分方程无穷多点边值问题u″+α(t)f(u)=0,t∈(0,1), u(0)=0,u(1)=sum from i=1 to∞(α_iu(ξ_i)正解的存在性。其中ξ_i∈(0,1),α_i∈[0,∞),且满足sum from i=1 to∞(α_iξ_i)<1.a∈C([0,1],[0,∞)),f∈C([0,∞),[0,∞)).
