We analyze the discretization of a Neumann boundary control problem with a stochastic parabolic equation, where additive noise occurs in the Neumann boundary condition. The convergence is established for general filtr...We analyze the discretization of a Neumann boundary control problem with a stochastic parabolic equation, where additive noise occurs in the Neumann boundary condition. The convergence is established for general filtration, and the convergence rate O(τ1/4-?+ h1/2-?) is derived for the natural filtration of the Q-Wiener process.展开更多
Heterophase nanomaterials composed of multiple phases have attracted increasing attention due to their enhanced performance in electrocatalytic field.Nevertheless,constructing two-dimensional(2D)crystalline/amorphous ...Heterophase nanomaterials composed of multiple phases have attracted increasing attention due to their enhanced performance in electrocatalytic field.Nevertheless,constructing two-dimensional(2D)crystalline/amorphous heterophase nanostructures with the samechemical composition remains a great challenge.Herein,we report the preparation of a 2D crystalline/amorphous heterophase of MoS2 nanosheets with the same elemental components via a facile solvothermal method.展开更多
基金supported by National Natural Science Foundation of China (Grant No.11901410)the Fundamental Research Funds for the Central Universities in China (Grant No. 2020SCU12063)。
文摘We analyze the discretization of a Neumann boundary control problem with a stochastic parabolic equation, where additive noise occurs in the Neumann boundary condition. The convergence is established for general filtration, and the convergence rate O(τ1/4-?+ h1/2-?) is derived for the natural filtration of the Q-Wiener process.
基金supported by the National Natural Science Foundation of China(no.21971117)Functional Research Funds for the Central Universities,Nankai University(no.63186005)+6 种基金Tianjin Key Lab for Rare Earth Materials and Applications(no.ZB19500202)the Open Funds(no.RERU2019001)of the State Key Laboratory of Rare Earth Resource Utilization,111 Project(no.B18030)from China,Beijing–Tianjin–Hebei Collaborative Innovation Project(no.19YFSLQY00030)the Outstanding Youth Project of TianjinNatural Science Foundation(no.20JCJQJC00130)the Key Project of Tianjin Natural Science Foundation(no.20JCZDJC00650)fundings from Basic Scientific Research in Central Universities(grant no.G2020KY0535)the Foundation of Shaanxi Province Natural Science Basic Research Program(grant nos.2021JQ-095 and 2020JQ-146)Postdoctoral Science Foundation of China(nos.2019TQ0265 and 2019M663809).
文摘Heterophase nanomaterials composed of multiple phases have attracted increasing attention due to their enhanced performance in electrocatalytic field.Nevertheless,constructing two-dimensional(2D)crystalline/amorphous heterophase nanostructures with the samechemical composition remains a great challenge.Herein,we report the preparation of a 2D crystalline/amorphous heterophase of MoS2 nanosheets with the same elemental components via a facile solvothermal method.
