The existence of singular limit solutions are investigated by establishing a new Liouville type theorem for nonlinear elliptic system with sub-quadratic convection term and by using the nonlinear domain decomposition ...The existence of singular limit solutions are investigated by establishing a new Liouville type theorem for nonlinear elliptic system with sub-quadratic convection term and by using the nonlinear domain decomposition method.展开更多
Na0.5Bi0.5TiO3-BiMnO3(NBT-BM)limited solid solution films were fabricated to investigate the lattice modification on the energy storage performances.The introduction of the BM solute lattice induces the NBT solvent la...Na0.5Bi0.5TiO3-BiMnO3(NBT-BM)limited solid solution films were fabricated to investigate the lattice modification on the energy storage performances.The introduction of the BM solute lattice induces the NBT solvent lattices undergoing the transition from the pure phase,solid solution,solubility limit to precipitation.Correspondingly,the polarization states transfer from the macroscopic ferroelectric domains to nanodomains then to compound ferroelectric domains.The introduction of BiMnO3 generates great lattice changes including the local lattice fluctuation and the large lattice stretching,which enhance the energy storage performances,with the energy storage efficiency being enhanced from 39.2%to 53.2%and 51.7%and the energy density being enhanced from 33.1 J/cm3 to 76.5 J/cm^3 and 83.8 J/cm^3 for the BM components of 2%and 4%,respectively.The lattice modifications play a key role in the energy storage performances for limited solid solution films,which provides an alternative strategy for energy storage material.展开更多
A kinematically admissible velocity field which is different from Avitzur's is established in Cartesian Coordinates. An upper-bound analytical solution to strip drawing andextrusion is obtained by using the integr...A kinematically admissible velocity field which is different from Avitzur's is established in Cartesian Coordinates. An upper-bound analytical solution to strip drawing andextrusion is obtained by using the integral as a function of the upper limit in this paper.展开更多
We modify the bilinear Biicklund transformation for the discrete sine-Gordon equation and derive variety of solutions by freely choosing parameters from the modified B^cklund transformation. Dynamics of solutions and ...We modify the bilinear Biicklund transformation for the discrete sine-Gordon equation and derive variety of solutions by freely choosing parameters from the modified B^cklund transformation. Dynamics of solutions and continuum limits are also discussed.展开更多
This paper studies the incompressible limit and stability of global strong solutions to the threedimensional full compressible Navier-Stokes equations, where the initial data satisfy the "well-prepared" cond...This paper studies the incompressible limit and stability of global strong solutions to the threedimensional full compressible Navier-Stokes equations, where the initial data satisfy the "well-prepared" conditions and the velocity field and temperature enjoy the slip boundary condition and convective boundary condition, respectively. The uniform estimates with respect to both the Mach number ∈(0, ∈] and time t ∈ [0, ∞) are established by deriving a differential inequality with decay property, where ∈∈(0, 1] is a constant.As the Mach number vanishes, the global solution to full compressible Navier-Stokes equations converges to the one of isentropic incompressible Navier-Stokes equations in t ∈ [0, +∞). Moreover, we prove the exponentially asymptotic stability for the global solutions of both the compressible system and its limiting incompressible system.展开更多
Nonlinear solution of reinforced concrete structures, particularly complete load-deflection response, requires tracing of the equilibrium path and proper treatment of the limit and bifurcation points. In this regard, ...Nonlinear solution of reinforced concrete structures, particularly complete load-deflection response, requires tracing of the equilibrium path and proper treatment of the limit and bifurcation points. In this regard, ordinary solution techniques lead to instability near the limit points and also have problems in case of snap-through and snap-back. Thus they fail to predict the complete load-displacement response. The arc-length method serves the purpose well in principle, received wide acceptance in finite element analysis, and has been used extensively. However modifications to the basic idea are vital to meet the particular needs of the analysis. This paper reviews some of the recent developments of the method in the last two decades, with particular emphasis on nonlinear finite element analysis of reinforced concrete structures.展开更多
As urbanization is an evolutionary process of the open giant system of complex spaces,solutions should be sought based on the scientifi c method of "limited solutions to complex problems." Firstly,as people ...As urbanization is an evolutionary process of the open giant system of complex spaces,solutions should be sought based on the scientifi c method of "limited solutions to complex problems." Firstly,as people are the core of human settlements,urbanization should show its care for humans and thus for human settlements; secondly,a human settlement civilization should be cultivated on the basis of ecological civilization; thirdly,rural development should be promoted in units of county,in order to coordinate the urban-rural development; fourthly,it should encourage the decision-makers and think tanks to improve the management mechanism. As transformation becomes the general trend of this era,we need also to understand the Sciences of Human Settlements from the perspective of scientifi c transformation,which is expected to break new grounds in the Sciences of Human Settlements.展开更多
文摘The existence of singular limit solutions are investigated by establishing a new Liouville type theorem for nonlinear elliptic system with sub-quadratic convection term and by using the nonlinear domain decomposition method.
基金Project supported by the National Natural Science Foundation of China(Grant Nos.11864028 and 11564028)Inner Mongolia Science Foundation,China(Grant No.2018MS01003).
文摘Na0.5Bi0.5TiO3-BiMnO3(NBT-BM)limited solid solution films were fabricated to investigate the lattice modification on the energy storage performances.The introduction of the BM solute lattice induces the NBT solvent lattices undergoing the transition from the pure phase,solid solution,solubility limit to precipitation.Correspondingly,the polarization states transfer from the macroscopic ferroelectric domains to nanodomains then to compound ferroelectric domains.The introduction of BiMnO3 generates great lattice changes including the local lattice fluctuation and the large lattice stretching,which enhance the energy storage performances,with the energy storage efficiency being enhanced from 39.2%to 53.2%and 51.7%and the energy density being enhanced from 33.1 J/cm3 to 76.5 J/cm^3 and 83.8 J/cm^3 for the BM components of 2%and 4%,respectively.The lattice modifications play a key role in the energy storage performances for limited solid solution films,which provides an alternative strategy for energy storage material.
文摘A kinematically admissible velocity field which is different from Avitzur's is established in Cartesian Coordinates. An upper-bound analytical solution to strip drawing andextrusion is obtained by using the integral as a function of the upper limit in this paper.
基金Supported by the National Natural Science Foundation of China under Grant No.10671121Shanghai Leading Academic Discipline Project under Grant No.J50101
文摘We modify the bilinear Biicklund transformation for the discrete sine-Gordon equation and derive variety of solutions by freely choosing parameters from the modified B^cklund transformation. Dynamics of solutions and continuum limits are also discussed.
基金supported by National Natural Science Foundation of China (Grant No. 11471334)Program for New Century Excellent Talents in University (Grant No. NCET-12-0085)
文摘This paper studies the incompressible limit and stability of global strong solutions to the threedimensional full compressible Navier-Stokes equations, where the initial data satisfy the "well-prepared" conditions and the velocity field and temperature enjoy the slip boundary condition and convective boundary condition, respectively. The uniform estimates with respect to both the Mach number ∈(0, ∈] and time t ∈ [0, ∞) are established by deriving a differential inequality with decay property, where ∈∈(0, 1] is a constant.As the Mach number vanishes, the global solution to full compressible Navier-Stokes equations converges to the one of isentropic incompressible Navier-Stokes equations in t ∈ [0, +∞). Moreover, we prove the exponentially asymptotic stability for the global solutions of both the compressible system and its limiting incompressible system.
文摘Nonlinear solution of reinforced concrete structures, particularly complete load-deflection response, requires tracing of the equilibrium path and proper treatment of the limit and bifurcation points. In this regard, ordinary solution techniques lead to instability near the limit points and also have problems in case of snap-through and snap-back. Thus they fail to predict the complete load-displacement response. The arc-length method serves the purpose well in principle, received wide acceptance in finite element analysis, and has been used extensively. However modifications to the basic idea are vital to meet the particular needs of the analysis. This paper reviews some of the recent developments of the method in the last two decades, with particular emphasis on nonlinear finite element analysis of reinforced concrete structures.
文摘As urbanization is an evolutionary process of the open giant system of complex spaces,solutions should be sought based on the scientifi c method of "limited solutions to complex problems." Firstly,as people are the core of human settlements,urbanization should show its care for humans and thus for human settlements; secondly,a human settlement civilization should be cultivated on the basis of ecological civilization; thirdly,rural development should be promoted in units of county,in order to coordinate the urban-rural development; fourthly,it should encourage the decision-makers and think tanks to improve the management mechanism. As transformation becomes the general trend of this era,we need also to understand the Sciences of Human Settlements from the perspective of scientifi c transformation,which is expected to break new grounds in the Sciences of Human Settlements.
