In this paper, we study the propagation of the pattern for a reaction-diffusionchemotaxis model. By using a weakly nonlinear analysis with multiple temporal and spatial scales, we establish the amplitude equations for...In this paper, we study the propagation of the pattern for a reaction-diffusionchemotaxis model. By using a weakly nonlinear analysis with multiple temporal and spatial scales, we establish the amplitude equations for the patterns, which show that a local perturbation at the constant steady state is spread over the whole domain in the form of a traveling wavefront. The simulations demonstrate that the amplitude equations capture the evolution of the exact patterns obtained by numerically solving the considered system.展开更多
Two inorganic acids decorating titanium-oxo clusters (PTCs),Ti_6O_4(O~iPr)_(10)(O_(3)P-Phen)_(2)(NO_(3))_(2)(PTC-251) and Ti_6O_4(O~iPr)_(10)(O_(3)P-Phen)_(2)(HSO_4)_(2) (PTC-252)(H_(2)O_(3)P-Phen=phenylphosphinic aci...Two inorganic acids decorating titanium-oxo clusters (PTCs),Ti_6O_4(O~iPr)_(10)(O_(3)P-Phen)_(2)(NO_(3))_(2)(PTC-251) and Ti_6O_4(O~iPr)_(10)(O_(3)P-Phen)_(2)(HSO_4)_(2) (PTC-252)(H_(2)O_(3)P-Phen=phenylphosphinic acid) have been synthesized under solvothermal conditions.As a result of the labile coordination sites of the{Ti_6P_(2)}unit,nitrite and sulfate adopt different capping mode.Besides,they also present different space packing.The photocatalytic H_(2)evolution activities of these obtained PTCs have been studied,with sulfate decorating PTC-252 presenting a maximum H_(2) production rate up to 110.95μmol·g^(-1)·h^(-1).展开更多
基金partially supported by the National Natural Science Foundation of China(11671359)the Provincial Natural Science Foundation of Zhejiang(LY15A010017,LY16A010009)the Science Foundation of Zhejiang Sci-Tech University 15062173-Y
文摘In this paper, we study the propagation of the pattern for a reaction-diffusionchemotaxis model. By using a weakly nonlinear analysis with multiple temporal and spatial scales, we establish the amplitude equations for the patterns, which show that a local perturbation at the constant steady state is spread over the whole domain in the form of a traveling wavefront. The simulations demonstrate that the amplitude equations capture the evolution of the exact patterns obtained by numerically solving the considered system.
基金supported by National Natural Science Foundation of China(21771181,21935010 and 21973096)Youth Innovation Promotion Association CAS(2017345)。
文摘Two inorganic acids decorating titanium-oxo clusters (PTCs),Ti_6O_4(O~iPr)_(10)(O_(3)P-Phen)_(2)(NO_(3))_(2)(PTC-251) and Ti_6O_4(O~iPr)_(10)(O_(3)P-Phen)_(2)(HSO_4)_(2) (PTC-252)(H_(2)O_(3)P-Phen=phenylphosphinic acid) have been synthesized under solvothermal conditions.As a result of the labile coordination sites of the{Ti_6P_(2)}unit,nitrite and sulfate adopt different capping mode.Besides,they also present different space packing.The photocatalytic H_(2)evolution activities of these obtained PTCs have been studied,with sulfate decorating PTC-252 presenting a maximum H_(2) production rate up to 110.95μmol·g^(-1)·h^(-1).