We establish the exponential stability of global solutions and C0-semigroup for the compressible Navier.Stokes equations of a viscous polytropic ideal gas in both bounded domain in R^1 and bounded annular domains in R...We establish the exponential stability of global solutions and C0-semigroup for the compressible Navier.Stokes equations of a viscous polytropic ideal gas in both bounded domain in R^1 and bounded annular domains in R^n （n=2,3）.展开更多
Let Ω∈ C^n be a bounded starlike circular domain with 0 ∈ Ω. In this paper, we introduce a class of holomorphic mappings Mg on Ω. Let f（z） be a normalized locally biholomorphic mapping on Ω such that Jf^-1 （z...Let Ω∈ C^n be a bounded starlike circular domain with 0 ∈ Ω. In this paper, we introduce a class of holomorphic mappings Mg on Ω. Let f（z） be a normalized locally biholomorphic mapping on Ω such that Jf^-1 （z） f（z） ∈Mg and z = 0 is the zero of order k＋1 of f（z） - z. We obtain the growth and covering theorems for f（z）. Especially, as corollaries, we unify and generalize many known results. Moreover, in view of proofs of corollaries, the essential relations among the subclasses of starlike mappings are shown.展开更多
This study seeks to determine an effective boundary between government and market in light of modern financial theories.According to the findings of this paper,the relationship between government and market must be co...This study seeks to determine an effective boundary between government and market in light of modern financial theories.According to the findings of this paper,the relationship between government and market must be conceived of as under the "continuous spectrum of change" resulting from economic development.In practice,an effective frontier between government and market not only transforms continuously with the process of economic development but also demonstrates significant contrasts internationally according to the different national characteristics existing in each country.Determining a frontier between government and market requires that the relationship between the two be embedded into a broader set of institutional environmental constraints that incorporate consideration of the dynamic processes and mechanisms of economic development.The key issue is that government and market act with regard to the principle of comparative advantage as they play their respective roles.展开更多
The 2030 Agenda for Sustainable Development outlines 17 individual Sustainable Development Goals （SDGs） that guide the needs of practice for many professional disciplines around the world, including engineering, res...The 2030 Agenda for Sustainable Development outlines 17 individual Sustainable Development Goals （SDGs） that guide the needs of practice for many professional disciplines around the world, including engineering, research, policy, and development. The SDGs represent commitments to reduce poverty, hunger, ill health, gender inequality, environmental degradation, and lack of access to clean water and sanitation. If a typical reductionist approach is employed to address and optimize individual goals, it may lead to a failure in technological, policy, or managerial development interventions through unin- tended consequences in other goals. This study uses a systems approach to understand the fundamental dynamics between the SDGs in order to identify potential synergies and antagonisms. A conceptual system model was constructed to illustrate the causal relationships between SDGs, examine system structures using generic system archetypes, and identify leverage points to effectively influence intentional and minimize unintentional changes in the system. The structure of interactions among the SDGs reflects three archetypes of system behavior： Reinforcing Growth, Limits to Growth, and Growth and Underinvestment. The leverage points identified from the conceptual model are gender equality, sustainable management of water and sanitation, alternative resources, sustainable livelihood standards, and global partnerships. Such a conceptual system analysis of SDGs can enhance the likelihood that the development community will broaden its understanding of the potential synergistic benefits of their projects on resource management, environmental sustainability, and climate change. By linking the interactions and feedbacks of those projects with economic gains, women＇s empowerment, and educational equality, stakeholders can recognize holistic improvements that can be made to the quality of life of many of the world＇s poor.展开更多
In paper[4]the existence of bifurcation to separatrir loops in supercritical cases on the planeis studied. This note is a continuation of [4].The author proves the uniqueness of limit cyclesin a neighborhood of the sa...In paper[4]the existence of bifurcation to separatrir loops in supercritical cases on the planeis studied. This note is a continuation of [4].The author proves the uniqueness of limit cyclesin a neighborhood of the saparatrix loop, and the results strengthen the relevant conclusions in[1-6].展开更多
The paper is concerned with the system modeling the compressible hydrodynamic flow of liquid crystals with radially symmetric initial data and non-negative initial density in dimension N(N ≥ 2).The authors obtain the...The paper is concerned with the system modeling the compressible hydrodynamic flow of liquid crystals with radially symmetric initial data and non-negative initial density in dimension N(N ≥ 2).The authors obtain the existence of global radially symmetric strong solutions in a bounded or unbounded annular domain for any γ > 1.展开更多
基金Foundation item: Supported by the NSF of ChinaSupported by the Prominent Youth from Henan Province(0412000100)
文摘We establish the exponential stability of global solutions and C0-semigroup for the compressible Navier.Stokes equations of a viscous polytropic ideal gas in both bounded domain in R^1 and bounded annular domains in R^n （n=2,3）.
基金Supported by NNSF of China(10571164)Supported by SRFDP of Higher Education(20050358052)
文摘Let Ω∈ C^n be a bounded starlike circular domain with 0 ∈ Ω. In this paper, we introduce a class of holomorphic mappings Mg on Ω. Let f（z） be a normalized locally biholomorphic mapping on Ω such that Jf^-1 （z） f（z） ∈Mg and z = 0 is the zero of order k＋1 of f（z） - z. We obtain the growth and covering theorems for f（z）. Especially, as corollaries, we unify and generalize many known results. Moreover, in view of proofs of corollaries, the essential relations among the subclasses of starlike mappings are shown.
基金supported by National Natural Science Foundation of China(Grant No.71403277)National Social Science Foundation of China(Grant No.12&ZD089)
文摘This study seeks to determine an effective boundary between government and market in light of modern financial theories.According to the findings of this paper,the relationship between government and market must be conceived of as under the "continuous spectrum of change" resulting from economic development.In practice,an effective frontier between government and market not only transforms continuously with the process of economic development but also demonstrates significant contrasts internationally according to the different national characteristics existing in each country.Determining a frontier between government and market requires that the relationship between the two be embedded into a broader set of institutional environmental constraints that incorporate consideration of the dynamic processes and mechanisms of economic development.The key issue is that government and market act with regard to the principle of comparative advantage as they play their respective roles.
基金This material is based upon work supported by the National Science Foundation （1243510）.
文摘The 2030 Agenda for Sustainable Development outlines 17 individual Sustainable Development Goals （SDGs） that guide the needs of practice for many professional disciplines around the world, including engineering, research, policy, and development. The SDGs represent commitments to reduce poverty, hunger, ill health, gender inequality, environmental degradation, and lack of access to clean water and sanitation. If a typical reductionist approach is employed to address and optimize individual goals, it may lead to a failure in technological, policy, or managerial development interventions through unin- tended consequences in other goals. This study uses a systems approach to understand the fundamental dynamics between the SDGs in order to identify potential synergies and antagonisms. A conceptual system model was constructed to illustrate the causal relationships between SDGs, examine system structures using generic system archetypes, and identify leverage points to effectively influence intentional and minimize unintentional changes in the system. The structure of interactions among the SDGs reflects three archetypes of system behavior： Reinforcing Growth, Limits to Growth, and Growth and Underinvestment. The leverage points identified from the conceptual model are gender equality, sustainable management of water and sanitation, alternative resources, sustainable livelihood standards, and global partnerships. Such a conceptual system analysis of SDGs can enhance the likelihood that the development community will broaden its understanding of the potential synergistic benefits of their projects on resource management, environmental sustainability, and climate change. By linking the interactions and feedbacks of those projects with economic gains, women＇s empowerment, and educational equality, stakeholders can recognize holistic improvements that can be made to the quality of life of many of the world＇s poor.
文摘In paper[4]the existence of bifurcation to separatrir loops in supercritical cases on the planeis studied. This note is a continuation of [4].The author proves the uniqueness of limit cyclesin a neighborhood of the saparatrix loop, and the results strengthen the relevant conclusions in[1-6].
基金supported by the National Basic Research Program of China (973 Program) (No. 2011CB808002)the National Natural Science Foundation of China (Nos. 11071086,11001085)the Special Research Foundation for Doctoral Program in University (No. 20104407110002)
文摘The paper is concerned with the system modeling the compressible hydrodynamic flow of liquid crystals with radially symmetric initial data and non-negative initial density in dimension N(N ≥ 2).The authors obtain the existence of global radially symmetric strong solutions in a bounded or unbounded annular domain for any γ > 1.
