Stability of viscous shock wave for compressible Navier-Stokes equations with free boundary

A free boundary problem for the one-dimensional compressible Navier-Stokes equations is investigated. The asymptotic stability of the viscous shock wave is established under some smallness conditions. The proof is given by an elementary energy estimate.Comment: 20 page

CHANGES IN INCOME AND WELFARE DISTRIBUTION IN URBAN CHINA AND IMPLICATIONS FOR FOOD CONSUMPTION AND TRADE

While China's economic reform has brought about significant economic growth, there is a considerable debate about the impact of such market-oriented reform on income and welfare distributions. This paper examines the changes in income and welfare distributions in urban China from 1981 to 1998 and discusses implications for China's food consumption patterns and trade behavior. While the Lorenz curves estimated using Kakwani's interpolation method indicate that the level of income inequality in urban China has increased significantly since 1981, welfare comparisons based on generalized Lorenz curves suggest that the rise in real average income has more than compensated for the increase in inequality and has therefore brought about continuous improvement in welfare since 1981, except in 1988 and 1989 due to high inflation rates. Nevertheless, it becomes very critical for China to develop welfare programs and a social security system to provide a guaranteed living standard for low-income households. China's increasing income will continue to shift its food consumption from grains to animal products and, at the same time, the increasing income inequality will make food demand significantly different across regions and income groups.Community/Rural/Urban Development, Food Consumption/Nutrition/Food Safety, International Relations/Trade,

Towards a Theoretical Framework of E-Business Value Creation: the Dynamic Capabilities Perspective

With increasing attention on e-business and its implications for firm performance from both academia and practitioners, the study focuses on the mechanism under which e-business contributes to firm competitive advantage in the uncertain and dynamic environment. Drawing upon resource-based theory and dynamic capabilities approach, this study develops a theoretical framework that links e-business engagement to firm capabilities, and then firm performance. By emphasizing the implications of e-business in capabilities-building, the framework not only advances our understanding of the roles of e-business in firm, but also provides a sound theoretical basis for further empirical studies on this topic. The implications of this research for practitioners are discussed

CrC^r-Chain closing lemma for certain partially hyperbolic diffeomorphisms

For every $r\in\mathbb{N}_{\geq 2}\cup\{\infty\}$, we prove a $C^r$-orbit connecting lemma for dynamically coherent and plaque expansive partially hyperbolic diffeomorphisms with 1-dimensional orientation preserving center bundle. To be precise, for such a diffeomorphism $f$, if a point $y$ is chain attainable from $x$ through pseudo-orbits, then for any neighborhood $U$ of $x$ and any neighborhood $V$ of $y$, there exist true orbits from $U$ to $V$ by arbitrarily $C^r$-small perturbations. As a consequence, we prove that for $C^r$-generic diffeomorphisms in this class, periodic points are dense in the chain recurrent set, and chain transitivity implies transitivity