A Computer-Assisted Uniqueness Proof for a Semilinear Elliptic Boundary Value Problem

A wide variety of articles, starting with the famous paper (Gidas, Ni and Nirenberg in Commun. Math. Phys. 68, 209-243 (1979)) is devoted to the uniqueness question for the semilinear elliptic boundary value problem -{\Delta}u={\lambda}u+u^p in {\Omega}, u>0 in {\Omega}, u=0 on the boundary of {\Omega}, where {\lambda} ranges between 0 and the first Dirichlet Laplacian eigenvalue. So far, this question was settled in the case of {\Omega} being a ball and, for more general domains, in the case {\lambda}=0. In (McKenna et al. in J. Differ. Equ. 247, 2140-2162 (2009)), we proposed a computer-assisted approach to this uniqueness question, which indeed provided a proof in the case {\Omega}=(0,1)x(0,1), and p=2. Due to the high numerical complexity, we were not able in (McKenna et al. in J. Differ. Equ. 247, 2140-2162 (2009)) to treat higher values of p. Here, by a significant reduction of the complexity, we will prove uniqueness for the case p=3

The Plasma Environment of Comets

Peer Reviewedhttps://deepblue.lib.umich.edu/bitstream/2027.42/138863/1/rog199129s2976.pd

Search for a light Higgs resonance in radiative decays of the (1S) with a charm tag

A search is presented for the decay (1S)→γA0, A0→cc¯, where A0 is a candidate for the CP-odd Higgs boson of the next-to-minimal supersymmetric standard model. The search is based on data collected with the BABAR detector at the (2S) resonance. A sample of (1S) mesons is selected via the decay (2S)→π+π-(1S). The A0→cc¯ decay is identified through the reconstruction of hadronic D0, D+, and D∗(2010)+ meson decays. No significant signal is observed. The measured 90% confidence-level upper limits on the product branching fraction B((1S)→γA0)×B(A0→cc¯) range from 7.4×10-5 to 2.4×10-3 for A0 masses from 4.00 to 8.95GeV/c2 and 9.10 to 9.25GeV/c2, where the region between 8.95 and 9.10GeV/c2 is excluded because of background from (2S)→γχbJ(1P), χbJ(1P)→γ(1S) decays

Angular distributions in the decay B -> K*l(+)l(-)

We use a sample of 384 million BBbar events collected with the Babar detector at the PEP-II e+e- collider to study angular distributions in the rare decays B -> K* l+l-, where l+l- is either e+e- or mu+mu-. For low dilepton invariant masses, m(l+l-)3.2$ GeV/c^2, we measure AFB=0.76 (+0.52,-0.32) +/- 0.07 FL=0.71 (+0.20,-0.22) +/- 0.04.We are grateful for the excellent luminosity and machine conditions provided by our PEP-II colleagues, and for the substantial dedicated effort from the computing organizations that support BABAR. The collaborating institutions wish to thank SLAC for its support and kind hospitality. This work is supported by DOE and NSF (USA), NSERC (Canada), CEA and CNRS-IN2P3 (France), BMBF and DFG (Germany), INFN (Italy), FOM (The Netherlands), NFR (Norway), MES (Russia), MEC (Spain), and STFC (United Kingdom). Individuals have received support from the Marie Curie EIF (European Union) and the A. P. Sloan Foundation.Peer reviewe

Whole-genome sequencing reveals host factors underlying critical COVID-19

Critical COVID-19 is caused by immune-mediated inflammatory lung injury. Host genetic variation influences the development of illness requiring critical care1 or hospitalization2,3,4 after infection with SARS-CoV-2. The GenOMICC (Genetics of Mortality in Critical Care) study enables the comparison of genomes from individuals who are critically ill with those of population controls to find underlying disease mechanisms. Here we use whole-genome sequencing in 7,491 critically ill individuals compared with 48,400 controls to discover and replicate 23 independent variants that significantly predispose to critical COVID-19. We identify 16 new independent associations, including variants within genes that are involved in interferon signalling (IL10RB and PLSCR1), leucocyte differentiation (BCL11A) and blood-type antigen secretor status (FUT2). Using transcriptome-wide association and colocalization to infer the effect of gene expression on disease severity, we find evidence that implicates multiple genes—including reduced expression of a membrane flippase (ATP11A), and increased expression of a mucin (MUC1)—in critical disease. Mendelian randomization provides evidence in support of causal roles for myeloid cell adhesion molecules (SELE, ICAM5 and CD209) and the coagulation factor F8, all of which are potentially druggable targets. Our results are broadly consistent with a multi-component model of COVID-19 pathophysiology, in which at least two distinct mechanisms can predispose to life-threatening disease: failure to control viral replication; or an enhanced tendency towards pulmonary inflammation and intravascular coagulation. We show that comparison between cases of critical illness and population controls is highly efficient for the detection of therapeutically relevant mechanisms of disease

Cairns - Marine Plant Assessment for Smith's Creek and Wharf 8 potential Port Infrastructure Sites - June 2021

The survey specifically set out to examine the presence and/or absence, and extent of marine plants (seagrasses and macro-algae) growing within the proposed construction envelope (Figure 1). Objectives of this scope of works were to: • Determine the presence, distribution and density of seagrasses and marine macro-algae that may occur within the area of interest; • Provide a review of existing datasets including previous seagrass and macrobenthic survey results; • Provide a written report and GIS layers of the presence, distribution and density of seagrasses and macro-algae within the area of interest

Green Island Jetty Repairs Seagrass Monitoring Final Report ‐ Sixteen Month Post‐Disturbance, October 2021

As part of works for the Green Island Jetty repairs, utilization of an area for a contractors work barge was subject of agency approval for potential impacts to marine plants. As works progressed an area of seagrass was impacted by the barge sitting on the bottom and associated mooring blocks adjacent to the jetty during works. A monitoring program that incorporated pre‐disturbance baseline and reference areas of undisturbed seagrass was established to assess impacts and recovery of seagrasses in the impacted area. This report details results of the fourth and final post‐disturbance survey conducted 16 months after the works barge was removed. Key findings from this survey were: 1. In October 2021, sixteen months after removal of the works barge, seagrass within the barge footprint area had fully recovered. 2. Seagrass biomass within the barge footprint had returned to the same levels as the undisturbed reference areas and the pre‐disturbance baseline. 3. The area of seagrass impacted by the barge had largely recovered after 12 months and this recovery was sustained with no visible impact of the barge footprint 16 months following the disturbance. 4. Seagrass biomass was lower across all sites in October 2021 (disturbed and undisturbed reference areas) compared to May 2021 and November 2019 (pre‐barge impact), but biomass was similar to September 2020, with changes likely reflective of natural seagrass seasonality. 5. As seagrass had fully recovered with no signs of ongoing impact of the jetty works, no further monitoring of seagrass is required for the project

Port of Abbot Point Long-Term Seagrass Monitoring Program 2021: A Report for North Queensland Bulk Ports Corporation (NQBP)

In 2021 seagrass in the annually monitored meadows at Abbot Point were in an overall good condition for the second consecutive year, stabilising their status following recovery from poor condition in 2017 following TC Debbie. -Inshore seagrasses meadows dominated by Halodule uninervis were in very good condition while the inshore Zostera muelleri dominated meadow was in good condition. - The offshore meadows improved in overall condition from satisfactory in 2020 to good in 2021 due to an increase in condition of all three indices (area, biomass and species composition). - In 2021 environmental conditions were favourable for seagrass growth with a mild wet season and no extreme weather events. - The continued good condition of seagrass at Abbot Point in 2021 means they were likely to have increased resilience to future natural and anthropogenic pressures compared with recent years