skip to main content


Title: Recommendations for the use of Metagenomics for Routine Monitoring of Antibiotic Resistance in Wastewater and Impacted Aquatic Environments
Award ID(s):
2004751 2125798 1545756 2025151
PAR ID:
10427102
Author(s) / Creator(s):
; ; ; ; ; ; ; ;
Date Published:
Journal Name:
Critical reviews in environmental science and technology
ISSN:
1064-3389
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
More Like this
  1. We are concerned with the suitability of the main models of compressible fluid dynamics for the Lighthill problem for shock diffraction by a convex corned wedge, by studying the regularity of solutions of the problem, which can be formulated as a free boundary problem. In this paper, we prove that there is no regular solution that is subsonic up to the wedge corner for potential flow. This indicates that, if the solution is subsonic at the wedge corner, at least a characteristic discontinuity (vortex sheet or entropy wave) is expected to be generated, which is consistent with the experimental and computational results. Therefore, the potential flow equation is not suitable for the Lighthill problem so that the compressible Euler system must be considered. In order to achieve the nonexistence result, a weak maximum principle for the solution is established, and several other mathematical techniques are developed. The methods and techniques developed here are also useful to the other problems with similar difficulties. 
    more » « less