Prospects for Studies of Stellar Evolution and Stellar Death in the JWST Era

I review the prospects for studies of the advanced evolutionary stages of low-, intermediate- and high-mass stars by the JWST and concurrent facilities, with particular emphasis on how they may help elucidate the dominant contributors to the interstellar dust component of galaxies. Observations extending from the mid-infrared to the submillimeter can help quantify the heavy element and dust species inputs to galaxies from AGB stars. JWST's MIRI mid-infrared instrument will be so sensitive that observations of the dust emission from individual intergalactic AGB stars and planetary nebulae in the Virgo Cluster will be feasible. The Herschel Space Observatory will enable the last largely unexplored spectral region, the far-IR to the submillimeter, to be surveyed for new lines and dust features, while SOFIA will cover the wavelength gap between JWST and Herschel, a spectral region containing important fine structure lines, together with key water-ice and crystalline silicate bands. Spitzer has significantly increased the number of Type II supernovae that have been surveyed for early-epoch dust formation but reliable quantification of the dust contributions from massive star supernovae of Type II, Type Ib and Type Ic to low- and high-redshift galaxies should come from JWST MIRI observations, which will be able to probe a volume over 1000 times larger than Spitzer.Comment: 24 pages, 19 figures. To appear in `Astrophysics in the Next Decade: JWST and Concurrent Facilities' (JWST Conference Proceedings), edited by H. A. Thronson, M. Stiavelli and A. G. G. M. Tielens; Springer Series: Astrophysics and Space Science Proceeding

Fator chave para Anticarsia gemmatalis Hübner, 1818 (Lepidoptera: Noctuidae) em cultura de soja, para o estado de São Paulo Key factor for Anticarsia gemmatalis Hübner, 1818 (Lepidoptera: Noctuidae) in soybean fields in the state of São Paulo

Estudou-se a biologia e a flutuação de Anticarsia gemmatalis em campos de soja com o objetivo de construir tabelas de vida ecológica visando determinar o estágio e o fator chave. Os experimentos foram conduzidos durante os períodos agrícolas de 1992 a 1997. Em cada ano foram realizados dois estudos biológicos. Simultaneamente durante o ciclo da soja, nos seis anos estudados, foram realizadas amostragens para determinar a flutuação natural de ovos e de lagartas de A. gemmatalis. De posse desses dados foram construídas tabelas de vida ecológica, tendo-se observado que a taxa líquida de reprodução da espécie aumentou de 2,9 a 7,5 vezes em relação a população inicial, sendo que, para a tabela construída com a média dos dados, esse valor subiu para 15,5 vezes. O tempo médio de duração nas gerações variou de 33,5 a 40,2 dias, com média de 37,9 dias, acarretando uma sobrevivência, por geração entre 1,2 a 3,2%, porém, na média, esta subiu para 6,6%. O estágio chave da população não pôde ser determinado com precisão devido aos baixos valores de R2 obtidos mas, o fator chave, responsável pela mortalidade da população, foi a fertilidade real de fêmeas.<br>The biology and fluctuation of Anticarsia gemmatalis was studied in soybean fields to determine the key stage and factor. Experiments were conducted from 1992 through 1997. Two biological studies were performed each year. In each season, the natural occurrence of eggs and larvae were determined, which allowed the construction of ecological life tables. The net reproduction rate of the species was observed to increase 2.9-to 7.5-fold in relation to the initial population, but the increse was estimated as 15.5-fold for the life table constructed from the averages of annual values. Mean duration time for progenies varied from 33.5 to 40.2 days (mean of 37.9), leading to an average survival per generation between 1.2 and 3.2% (mean of 6.6). The key stage of the population was not determined due the observed low R2. The key factor accounting for population mortality was the fertility of females

On Bounded Solutions of the Balanced Generalized Pantograph Equation

The question about the existence and characterization of bounded solutions to linear functional-differential equations with both advanced and delayed arguments was posed in early 1970s by T. Kato in connection with the analysis of the pantograph equation, y ′(x) = ay(qx) + by(x). In the present paper, we answer this question for the balanced generalized pantograph equation of the form −a2y ′′(x)+a1y ′(x)+y(x) = ∫ ∞ 0 y(αx)µ(dα), where a1 ≥ 0, a2 ≥ 0, a2 1 +a22&gt; 0, and µ is a probability measure. Namely, setting K: = ∫ ∞ 0 ln α µ(dα), we prove that if K ≤ 0 then the equation does not have nontrivial (i.e., nonconstant) bounded solutions, while if K&gt; 0 then such a solution exists. The result in the critical case, K = 0, settles a long-standing problem. The proof exploits the link with the theory of Markov processes, in that any solution of the balanced pantograph equation is an L-harmonic function relative to the generator L of a certain diffusion process with “multiplication ” jumps. The paper also includes three “elementary ” proofs for the simple prototype equation y ′(x) + y(x) = 1 1 2 y(qx) + 2 y(x/q), based on perturbation, analytical, and probabilistic techniques, respectively, which may appear useful in other situations as efficient exploratory tools. Key words: Pantograph equation, functional-differential equations, integrodifferential equations, balance condition, bounded solutions, WKB expansion