On Some Inequalities and Their Application to the Cauchy Problem

Derivation of inequalities and application to Cauchy problem for infinite system of equation

In-medium nuclear interactions of low-energy hadrons

Experimental and theoretical developments of the last decade in the study of exotic atoms and some related low-energy reactions are reviewed, in order to provide information on the in-medium hadron-nucleon t matrix over a wide range of densities up to central nuclear densities. In particular, we review pionic deeply bound atomic states and related evidence for partial restoration of chiral symmetry in dense nuclear matter. The case for relatively narrow deeply bound atomic states for antikaons and antiprotons is made, based on the physics of strong nuclear absorption. Recent experimental suggestions for signals of antikaon-nuclear deeply bound states are reviewed, and dynamical models for calculating binding energies, widths and densities of antikaon nuclear states are discussed. Specific features of low-energy in-medium interactions of kaons, antiprotons and of Sigma hyperons are discussed, and suggestions to study experimentally Cascade atoms are reviewed.Comment: 86 pages, 44 figures, slight revisions, references added, Physics Reports (in press

Necrotic tumor growth: an analytic approach

The present paper deals with a free boundary problem modeling the growth process of necrotic multi-layer tumors. We prove the existence of flat stationary solutions and determine the linearization of our model at such an equilibrium. Finally, we compute the solutions of the stationary linearized problem and comment on bifurcation.Comment: 14 pages, 3 figure

The Distributional Impacts of Indonesia's Financial Crisis on Household Welfare: "A Rapid Response Methodology"

Analyzing the distributional impacts of economic crises is important and, unfortunately, an ever more pressing need. If policymakers are to intervene to help those most adversely impacted, then policymakers need to identify those who have been most harmed and the magnitude of that harm. Furthermore, policy responses to economic crises typically must be timely. In this paper, we develop a simple methodology to fill the order and we've applied our methodology to analyze the impact of the Indonesian economic crisis on household welfare there. Using only pre-crisis household information, we estimate the compensating variation for Indonesian households following the 1997 Asian currency crisis and then explore the results with flexible non-parametric methods. We find that virtually every household was severely impacted, although it was the urban poor that fared the worst. The ability of poor rural households to produce food mitigated the worst consequences of the high inflation. The distributional conseqences are the same whether we allow households to substitute towards relatively cheaper goods or not. However the geographic location of the household mattered even within urban or rural areas and household income categories. Additionally, households with young children may have suffered disproportionately adverse effects.http://deepblue.lib.umich.edu/bitstream/2027.42/39771/3/wp387.pd