start-ver=1.4 cd-journal=joma no-vol=57 cd-vols= no-issue=1 article-no= start-page=173 end-page=200 dt-received= dt-revised= dt-accepted= dt-pub-year=2015 dt-pub=201501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=ZERO MEAN CURVATURE SURFACES IN LORENTZ-MINKOWSKI 3-SPACE AND 2-DIMENSIONAL FLUID MECHANICS en-subtitle= kn-subtitle= en-abstract= kn-abstract=Space-like maximal surfaces and time-like minimal surfaces in Lorentz-Minkowski 3-space R31 are both characterized as zero mean curvature surfaces. We 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. We consider this phenomenon and its interesting connection to 2-dimensional fluid mechanics in this expository article. en-copyright= kn-copyright= en-aut-name=FujimoriShoichi en-aut-sei=Fujimori en-aut-mei=Shoichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=KimYoung Wook en-aut-sei=Kim en-aut-mei=Young Wook kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=KohSung-Eun en-aut-sei=Koh en-aut-mei=Sung-Eun kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=RossmanWayne en-aut-sei=Rossman en-aut-mei=Wayne kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= en-aut-name=ShinHeayong en-aut-sei=Shin en-aut-mei=Heayong kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=5 ORCID= en-aut-name=UmeharaMasaaki en-aut-sei=Umehara en-aut-mei=Masaaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=6 ORCID= en-aut-name=YamadaKotaro en-aut-sei=Yamada en-aut-mei=Kotaro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=7 ORCID= en-aut-name=YangSeong-Deog en-aut-sei=Yang en-aut-mei=Seong-Deog kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=8 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Faculty of Science, Okayama University affil-num=2 en-affil= kn-affil=Department of Mathematics, Korea University affil-num=3 en-affil= kn-affil=Department of Mathematics, Konkuk University affil-num=4 en-affil= kn-affil=Department of Mathematics, Faculty of Science, Kobe University affil-num=5 en-affil= kn-affil=Department of Mathematics, Chung-Ang University affil-num=6 en-affil= kn-affil=Department of Mathematical and Computing Sciences, Tokyo Institute of Technology affil-num=7 en-affil= kn-affil=Department of Mathematics, Tokyo Institute of Technology affil-num=8 en-affil= kn-affil=Department of Mathematics, Korea University en-keyword=maximal surface kn-keyword=maximal surface en-keyword=type change kn-keyword=type change en-keyword=zero mean curvature kn-keyword=zero mean curvature en-keyword=subsonic flow kn-keyword=subsonic flow en-keyword=supersonic flow kn-keyword=supersonic flow en-keyword=stream function kn-keyword=stream function END