Fujimori, S.; Kim, Y. W.; Koh, S.-E.; Rossman, W.; Shin, H.; Umehara, M.; Yamada, K.; Yang, S.-D. Zero mean curvature surfaces in Lorentz-Minkowski 3-space and 2-dimensional fluid mechanics. (English) Zbl 1320.53017 Math. J. Okayama Univ. 57, 173-200 (2015). Space-like maximal surfaces and time-like minimal surfaces in Lorentz-Minkowski 3-space \(\mathbb R^3_1\) are both characterized as zero mean curvature surfaces. The authors are interested in the case where the zero mean curvature surface changes type from space-like to time-like at a given non-degenerate null curve. One considers this phenomenon and its interesting connection to 2-dimensional fluid mechanics in this expository article. Reviewer: Titus Petrila (Cluj-Napoca) Cited in 18 Documents MSC: 53A35 Non-Euclidean differential geometry 53A10 Minimal surfaces in differential geometry, surfaces with prescribed mean curvature 53B30 Local differential geometry of Lorentz metrics, indefinite metrics 35Q35 PDEs in connection with fluid mechanics 76G99 General aerodynamics and subsonic flows Keywords:maximal surface; type change; zero mean curvature; subsonic flow; supersonic flow; stream function PDFBibTeX XMLCite \textit{S. Fujimori} et al., Math. J. Okayama Univ. 57, 173--200 (2015; Zbl 1320.53017) Full Text: arXiv