This paper is intended to be a first step towards the continuous dependence of dynamical contact problems on the initial data as well as the uniqueness of a solution. Moreover,it provides the basis for a proof of the ...This paper is intended to be a first step towards the continuous dependence of dynamical contact problems on the initial data as well as the uniqueness of a solution. Moreover,it provides the basis for a proof of the convergence of popular time integration schemes as the Newmark method.We study a frictionless dynamical contact problem between both linearly elastic and viscoelastic bodies which is formulated via the Signorini contact conditions.For viscoelastic materials fulfilling the Kelvin-Voigt constitutive law,we find a characterization of the class of problems which satisfy a perturbation result in a non-trivial mix of norms in function space.This characterization is given in the form of a stability condition on the contact stresses at the contact boundaries.Furthermore,we present perturbation results for two well-established approximations of the classical Signorini condition:The Signorini condition formulated in velocities and the model of normal compliance,both satisfying even a sharper version of our stability condition.展开更多
Australian dollar (AUD) maintains a fluctuant increase for long period, but in recent two years, this currency represents an anomalistic change. In order to forecast the trend of AUD, this essay examines the exchang...Australian dollar (AUD) maintains a fluctuant increase for long period, but in recent two years, this currency represents an anomalistic change. In order to forecast the trend of AUD, this essay examines the exchange rate of AUD in then years from March of 2000 to March of 2010, and argues the factors which create these trend changes. By means of secondary research and graphs analysis, the relevant evidence and argument was selected into four terms below: relative raw materials prices changes, relative domestic price level and Import-Expert changes, relative interest rate changes, and other factors. The examples based on the theoretics, graphs, statistics and experts' opinions.展开更多
Ammonia, primarily made with Haber-Bosch process developed in 1909 and winning two Nobel prizes, is a promising noncarbon fuel for preventing global warming of 1.5 °C above pre-industrial levels. However,the unde...Ammonia, primarily made with Haber-Bosch process developed in 1909 and winning two Nobel prizes, is a promising noncarbon fuel for preventing global warming of 1.5 °C above pre-industrial levels. However,the undesired characteristics of the process, including high carbon footprint, necessitate alternative ammonia synthesis methods, and among them is chemical looping ammonia production(CLAP) that uses nitrogen carrier materials and operates at atmospheric pressure with high product selectivity and energy efficiency. To date, neither a systematic review nor a perspective in nitrogen carriers and CLAP has been reported in the critical area. Thus, this work not only assesses the previous results of CLAP but also provides perspectives towards the future of CLAP. It classifies, characterizes, and holistically analyzes the fundamentally different CLAP pathways and discusses the ways of further improving the CLAP performance with the assistance of plasma technology and artificial intelligence(AI).展开更多
基金supported by the DFG Research Center MATHEON,"Mathematicsfor key technologies:Modelling,simulation,and optimization of real-world processes",Berlin
文摘This paper is intended to be a first step towards the continuous dependence of dynamical contact problems on the initial data as well as the uniqueness of a solution. Moreover,it provides the basis for a proof of the convergence of popular time integration schemes as the Newmark method.We study a frictionless dynamical contact problem between both linearly elastic and viscoelastic bodies which is formulated via the Signorini contact conditions.For viscoelastic materials fulfilling the Kelvin-Voigt constitutive law,we find a characterization of the class of problems which satisfy a perturbation result in a non-trivial mix of norms in function space.This characterization is given in the form of a stability condition on the contact stresses at the contact boundaries.Furthermore,we present perturbation results for two well-established approximations of the classical Signorini condition:The Signorini condition formulated in velocities and the model of normal compliance,both satisfying even a sharper version of our stability condition.
文摘Australian dollar (AUD) maintains a fluctuant increase for long period, but in recent two years, this currency represents an anomalistic change. In order to forecast the trend of AUD, this essay examines the exchange rate of AUD in then years from March of 2000 to March of 2010, and argues the factors which create these trend changes. By means of secondary research and graphs analysis, the relevant evidence and argument was selected into four terms below: relative raw materials prices changes, relative domestic price level and Import-Expert changes, relative interest rate changes, and other factors. The examples based on the theoretics, graphs, statistics and experts' opinions.
基金supported by the DNL Cooperation Fund,CAS(DNL180402)the support from the University of Wyoming。
文摘Ammonia, primarily made with Haber-Bosch process developed in 1909 and winning two Nobel prizes, is a promising noncarbon fuel for preventing global warming of 1.5 °C above pre-industrial levels. However,the undesired characteristics of the process, including high carbon footprint, necessitate alternative ammonia synthesis methods, and among them is chemical looping ammonia production(CLAP) that uses nitrogen carrier materials and operates at atmospheric pressure with high product selectivity and energy efficiency. To date, neither a systematic review nor a perspective in nitrogen carriers and CLAP has been reported in the critical area. Thus, this work not only assesses the previous results of CLAP but also provides perspectives towards the future of CLAP. It classifies, characterizes, and holistically analyzes the fundamentally different CLAP pathways and discusses the ways of further improving the CLAP performance with the assistance of plasma technology and artificial intelligence(AI).