In this paper,{z_(n)}_(n=1)^(∞)acts as an interpolating sequence for Q_(p)∩H^(∞).An analytic function f is constructed,and f(z_(n))=∑_(j)λ_(j)f_(z_(j))(z_(n))=λ_(n),n=1,2,…for any{λ_(n)}∈l~∞,wheref and{λn}...In this paper,{z_(n)}_(n=1)^(∞)acts as an interpolating sequence for Q_(p)∩H^(∞).An analytic function f is constructed,and f(z_(n))=∑_(j)λ_(j)f_(z_(j))(z_(n))=λ_(n),n=1,2,…for any{λ_(n)}∈l~∞,wheref and{λn}∈l^(∞),where f and f_(zj)belong to Q_(p)∩H^(∞).As a result,the study achieves a comparable outcome for F(p,p-2,s)∩H^(∞).展开更多
Dilatancy-controlled gas flow in preferential pathways plays a key role in the safety analysis of radioactive waste repositories.This is particularly the case for bentonite,an often-preferred barrier material.Gas flow...Dilatancy-controlled gas flow in preferential pathways plays a key role in the safety analysis of radioactive waste repositories.This is particularly the case for bentonite,an often-preferred barrier material.Gas flow in preferential pathways is characterized by localization and spontaneous behavior,which is challenging to simulate in numerical models due to strong hydro-mechanical coupling.To analyze a laboratory experiment in the framework of the DECOVALEX-2023 project,this study introduced a new approach of combining continuous modelling methods with spatial material properties derived from material heterogeneities and experimental observations.The proposed model utilized hydro-mechanical spatial distributions,namely Young’s modulus and gas entry pressure,and elastoplasticity combined with a linear swelling model.A conceptual strain-dependent permeability approach simulated dilatancycontrolled gas flow based on hydro-mechanical coupling.To test the effectiveness of the presented approach,a gas injection test in a compacted,saturated bentonite sample was simulated using the opensource code OpenGeoSys 5.8 and compared with experimental observations.The presented methodology is capable of simulating localized gas flow in preferential pathways.The spatial distributions of Young’s modulus and gas entry pressure affect the swelling pressure,relative permeability and,in combination with the strain-dependent permeability model,also the intrinsic permeability.展开更多
Twenty-five new clones belong to Populus Aigeiros of both domestic and foreign origin hadbeen introduced and tested at nursery stage in Shandong province. Results showed that height (H),diameter at stem base (D0) and ...Twenty-five new clones belong to Populus Aigeiros of both domestic and foreign origin hadbeen introduced and tested at nursery stage in Shandong province. Results showed that height (H),diameter at stem base (D0) and survival rate (SR) varied significantly and genetic variation were very largeamong the clones. CVg and broad-sense heritability (h2) of H, D0 and SR of 1-year-old stock nursery were7.43%, 9.25%, 18.78% and 78.91%, 96.31%, 95.93%, respectively, showing high genetic control on thetested traits. 11 superior clones with characteristics of high growth rate and medium or high SR wereprimarily selected and genetic gains (△G) of H, D0 and SR were 16.89%, 16.08% and 13.08%, respectively.Rooting habits test of some selected clones were also conducted based on the cutting culture in watercontainer and annual growth increment measured. The date of first root emergence, number of main roots,number of lateral roots, length of main roots and the emergence date of growth peak varied to certain degreeamong the selected clones.展开更多
This article is concerned with the 3 D nonhomogeneous incompressible magnetohydrodynamics equations with a slip boundary conditions in bounded domain.We obtain weighted estimates of the velocity and magnetic field,and...This article is concerned with the 3 D nonhomogeneous incompressible magnetohydrodynamics equations with a slip boundary conditions in bounded domain.We obtain weighted estimates of the velocity and magnetic field,and address the issue of local existence and uniqueness of strong solutions with the weaker initial data which contains vacuum states.展开更多
基金Supported by the National Natural Science Foundation of China(11801347)。
文摘In this paper,{z_(n)}_(n=1)^(∞)acts as an interpolating sequence for Q_(p)∩H^(∞).An analytic function f is constructed,and f(z_(n))=∑_(j)λ_(j)f_(z_(j))(z_(n))=λ_(n),n=1,2,…for any{λ_(n)}∈l~∞,wheref and{λn}∈l^(∞),where f and f_(zj)belong to Q_(p)∩H^(∞).As a result,the study achieves a comparable outcome for F(p,p-2,s)∩H^(∞).
基金This research was conducted within the DECOVALEX-2023 projectDECOVALEX is an international research project comprising participants from industry,government,and academia,focusing on development of understanding,models and codes in complex coupled problems in sub-surface geological and engineering applications.DECOVALEX-2023 is the current phase of the project.The authors appreciate the DECOVALEX-2023 Funding Organisations Andra,BASE,BGE,BGR,CAS,CNSC,COVRA,US DOE,ENRESA,ENSI,JAEA,KAERI,NWMO,RWM,SÚRAO,SSM and Taipower for their financial and technical support of the work described in this paper.The statements made in the paper are,however,solely those of the authors and do not necessarily reflect those of the Funding Organisations.This work was further supported by the German Federal Ministry for Economic Affairs and Climate Action(BMWK).
文摘Dilatancy-controlled gas flow in preferential pathways plays a key role in the safety analysis of radioactive waste repositories.This is particularly the case for bentonite,an often-preferred barrier material.Gas flow in preferential pathways is characterized by localization and spontaneous behavior,which is challenging to simulate in numerical models due to strong hydro-mechanical coupling.To analyze a laboratory experiment in the framework of the DECOVALEX-2023 project,this study introduced a new approach of combining continuous modelling methods with spatial material properties derived from material heterogeneities and experimental observations.The proposed model utilized hydro-mechanical spatial distributions,namely Young’s modulus and gas entry pressure,and elastoplasticity combined with a linear swelling model.A conceptual strain-dependent permeability approach simulated dilatancycontrolled gas flow based on hydro-mechanical coupling.To test the effectiveness of the presented approach,a gas injection test in a compacted,saturated bentonite sample was simulated using the opensource code OpenGeoSys 5.8 and compared with experimental observations.The presented methodology is capable of simulating localized gas flow in preferential pathways.The spatial distributions of Young’s modulus and gas entry pressure affect the swelling pressure,relative permeability and,in combination with the strain-dependent permeability model,also the intrinsic permeability.
文摘Twenty-five new clones belong to Populus Aigeiros of both domestic and foreign origin hadbeen introduced and tested at nursery stage in Shandong province. Results showed that height (H),diameter at stem base (D0) and survival rate (SR) varied significantly and genetic variation were very largeamong the clones. CVg and broad-sense heritability (h2) of H, D0 and SR of 1-year-old stock nursery were7.43%, 9.25%, 18.78% and 78.91%, 96.31%, 95.93%, respectively, showing high genetic control on thetested traits. 11 superior clones with characteristics of high growth rate and medium or high SR wereprimarily selected and genetic gains (△G) of H, D0 and SR were 16.89%, 16.08% and 13.08%, respectively.Rooting habits test of some selected clones were also conducted based on the cutting culture in watercontainer and annual growth increment measured. The date of first root emergence, number of main roots,number of lateral roots, length of main roots and the emergence date of growth peak varied to certain degreeamong the selected clones.
基金This work was supported by Natural Science Foundation of China(11871412).
文摘This article is concerned with the 3 D nonhomogeneous incompressible magnetohydrodynamics equations with a slip boundary conditions in bounded domain.We obtain weighted estimates of the velocity and magnetic field,and address the issue of local existence and uniqueness of strong solutions with the weaker initial data which contains vacuum states.
