Shearing stresses and velocity distributions of quantum fluid helium at different temperatures flowing in the nano-channel were obtained by molecular dynamics simulation.The kinematic viscosities of quantum fluid heli...Shearing stresses and velocity distributions of quantum fluid helium at different temperatures flowing in the nano-channel were obtained by molecular dynamics simulation.The kinematic viscosities of quantum fluid helium in different temperature and density ranges could be calculated by the expression describing the relationship between shearing stress and velocity distribution.LJ model and QFH potential function were used to perform the MD simulation for two molecular systems with different sizes.The results showed that the simulation process with the quantum effect considered needed much time to obtain steady state.展开更多
研究了下列椭圆方程组的混合边值问题:δ2△u=2u(V+g1(u)△α1),δ2△w=w(-V+g2(w2)-α2),-λ2△V=u2-w2-C,u=u0,w=w0,V=V0 on ΓD,u/ν=w/ν=V/ν=0 on ΓN.这里u0,w0,V0∈H1(Ω)∩L∞(Ω),u0,w0≥0 in Ω,ν是ΓN上的单...研究了下列椭圆方程组的混合边值问题:δ2△u=2u(V+g1(u)△α1),δ2△w=w(-V+g2(w2)-α2),-λ2△V=u2-w2-C,u=u0,w=w0,V=V0 on ΓD,u/ν=w/ν=V/ν=0 on ΓN.这里u0,w0,V0∈H1(Ω)∩L∞(Ω),u0,w0≥0 in Ω,ν是ΓN上的单位外法向量.证明了方程组解的存在性和唯一性.展开更多
文摘Shearing stresses and velocity distributions of quantum fluid helium at different temperatures flowing in the nano-channel were obtained by molecular dynamics simulation.The kinematic viscosities of quantum fluid helium in different temperature and density ranges could be calculated by the expression describing the relationship between shearing stress and velocity distribution.LJ model and QFH potential function were used to perform the MD simulation for two molecular systems with different sizes.The results showed that the simulation process with the quantum effect considered needed much time to obtain steady state.
文摘研究了下列椭圆方程组的混合边值问题:δ2△u=2u(V+g1(u)△α1),δ2△w=w(-V+g2(w2)-α2),-λ2△V=u2-w2-C,u=u0,w=w0,V=V0 on ΓD,u/ν=w/ν=V/ν=0 on ΓN.这里u0,w0,V0∈H1(Ω)∩L∞(Ω),u0,w0≥0 in Ω,ν是ΓN上的单位外法向量.证明了方程组解的存在性和唯一性.
