Direct oxidation of ethene to acetic acid over Pd-SiW12/SiO2 catalysts prepared by several methods was studied. A better method for reducing palladium composition of the catalysts was found. Acetic acid was obtained w...Direct oxidation of ethene to acetic acid over Pd-SiW12/SiO2 catalysts prepared by several methods was studied. A better method for reducing palladium composition of the catalysts was found. Acetic acid was obtained with selectivity of 82.7% and once-through space time yield (STY) of 257.4 g/h .L.展开更多
For a convex,coercive continuous Hamiltonian on a closed Riemannian manifold M,we construct a unique forward weak KAM solution of H(x,d_(x)u)=c(H)by a vanishing discount approach,where c(H)is the Ma?écritical val...For a convex,coercive continuous Hamiltonian on a closed Riemannian manifold M,we construct a unique forward weak KAM solution of H(x,d_(x)u)=c(H)by a vanishing discount approach,where c(H)is the Ma?écritical value.We also discuss the dynamical significance of such a special solution.展开更多
With the variational method introduced by Mather,we construct a mechanical Hamiltonian system whose α function has a flat F and is non-differentiable at the boundary F.In the case of two degrees of freedom,we prove t...With the variational method introduced by Mather,we construct a mechanical Hamiltonian system whose α function has a flat F and is non-differentiable at the boundary F.In the case of two degrees of freedom,we prove that this phenomenon is stable under perturbations of Maé＇s.展开更多
文摘Direct oxidation of ethene to acetic acid over Pd-SiW12/SiO2 catalysts prepared by several methods was studied. A better method for reducing palladium composition of the catalysts was found. Acetic acid was obtained with selectivity of 82.7% and once-through space time yield (STY) of 257.4 g/h .L.
基金supported by the National Natural Science Foundation of China(Grant No.11901560)supported by the National Natural Science Foundation of China(Grant No.11971060)。
文摘For a convex,coercive continuous Hamiltonian on a closed Riemannian manifold M,we construct a unique forward weak KAM solution of H(x,d_(x)u)=c(H)by a vanishing discount approach,where c(H)is the Ma?écritical value.We also discuss the dynamical significance of such a special solution.
基金Supported by National Natural Science Foundation of China(Grant Nos.11201222,11171146)National Basic Research Program of China(973 Program,2013CB834100)a program PAPD of Jiangsu Province,China
文摘With the variational method introduced by Mather,we construct a mechanical Hamiltonian system whose α function has a flat F and is non-differentiable at the boundary F.In the case of two degrees of freedom,we prove that this phenomenon is stable under perturbations of Maé＇s.
