Axisymmetric flow of ideal fluid moving in a narrow domain: a study of the axisymmetric hydrostatic Euler equations

In this article we will introduce a new model to describe the leading order behavior of an ideal and axisymmetric fluid moving in a very narrow domain. After providing a formal derivation of the model, we will prove the well-posedness and provide a rigorous mathematical justification for the formal derivation under a new sign condition. Finally, a blowup result regarding this model will be discussed as well.Comment: 33 page

A Richer Understanding of Australia’s Productivity Performance in the 1990s: Improved estimates based upon firm-level panel data

Australia’s productivity performance is characterized by important differences across continuing firms, frequent entry of new firms, and substantial exit of firms which, for one reason or another, decide to cease production. These basic facts call into question the appropriateness of measuring productivity using an aggregate production function that is based upon a representative firm. This study relaxes the standard assumptions that industries are comprised of a set of homogeneous firms, the set of which are constant over time. Instead, we apply a semi-parametric production to continue production. The model controls for the relationship between productivity shocks and input choices and the inter-relationship between these and the decision to continue production. Using the Business Longitudinal Survey we estimate an improved set of production functions for twenty-five two-digit industries in Australia. We use these results to examine aggregate industry-level productivity performance. We use a new aggregation method in calculating these changes which allows us to separate productivity changes and output composition changes which sheds new light on industry-level productivity performance in Australia.Firm-level production function estimation, multi-factor productivity, semiparametric estimation, Australian economic performance

New and emerging therapeutic options for malignant pleural mesothelioma: review of early clinical trials.

Malignant pleural mesothelioma (MPM) is a rare tumor that is challenging to control. Despite some benefit from using the multimodality-approach (surgery, combination chemotherapy and radiation), survival remains poor. However, current research produced a list of potential therapies. Here, we summarize significant new preclinical and early clinical developments in treatment of MPM, which include mesothelin specific antibody and toxin therapies, interleukin-4 (IL-4) receptor toxins, dendritic cell vaccines, immune checkpoint inhibitors, and gene-based therapies. In addition, several local modalities such as photodynamic therapy, postoperative lavage using betadine, and cryotherapy for local recurrence, have also shown to be effective for local control of disease