{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,30]],"date-time":"2023-10-30T14:10:51Z","timestamp":1698675051607},"reference-count":16,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2009,10,17]],"date-time":"2009-10-17T00:00:00Z","timestamp":1255737600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Math. Fluid Mech."],"published-print":{"date-parts":[[2011,6]]},"DOI":"10.1007\/s00021-009-0014-1","type":"journal-article","created":{"date-parts":[[2009,10,16]],"date-time":"2009-10-16T07:09:56Z","timestamp":1255676996000},"page":"213-222","source":"Crossref","is-referenced-by-count":5,"title":["Non-Existence of Global Solutions For a Quasilinear Benney System"],"prefix":"10.1007","volume":"13","author":[{"given":"S.","family":"Antontsev","sequence":"first","affiliation":[]},{"given":"J. P.","family":"Dias","sequence":"additional","affiliation":[]},{"given":"M.","family":"Figueira","sequence":"additional","affiliation":[]},{"given":"F.","family":"Oliveira","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2009,10,17]]},"reference":[{"key":"14_CR1","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1002\/sapm197756181","volume":"56","author":"D.J. Benney","year":"1977","unstructured":"Benney D.J.: A general theory for interactions between short and long waves. Stud. Appl. Math. 56, 81\u201394 (1977)","journal-title":"Stud. Appl. Math."},{"key":"14_CR2","doi-asserted-by":"crossref","unstructured":"Cazenave, T.: Semilinear Schr\u00f6dinger equations. Courant Lecture Notes in Mathematics, vol. 10. CIMS and AMS (2003)","DOI":"10.1090\/cln\/010"},{"key":"14_CR3","doi-asserted-by":"crossref","first-page":"703","DOI":"10.1017\/S0022112077000408","volume":"79","author":"V.D. Djordjevic","year":"1978","unstructured":"Djordjevic V.D., Redekopp L.G.: On two-dimensional packets of capillary\u2013gravity waves. J. Fluid Mech. 79, 703\u2013714 (1978)","journal-title":"J. Fluid Mech."},{"key":"14_CR4","doi-asserted-by":"crossref","first-page":"169","DOI":"10.5194\/npg-6-169-1999","volume":"6","author":"S. Champeaux","year":"1999","unstructured":"Champeaux S., Laveder D., Passot T., Sulem P.-L.: Remarks on the parallel propagation of small-amplitude dispersive Alfven waves. Nonlinear Process. Geophys. 6, 169\u2013178 (1999)","journal-title":"Nonlinear Process. Geophys."},{"key":"14_CR5","doi-asserted-by":"crossref","first-page":"555","DOI":"10.1142\/S0219891607001252","volume":"4","author":"J.P. Dias","year":"2007","unstructured":"Dias J.P., Figueira M.: Existence of weak solutions for a quasilinear version of Benney equations. J. Hyperbolic Differ. Equ. 4, 555\u2013563 (2007)","journal-title":"J. Hyperbolic Differ. Equ."},{"key":"14_CR6","unstructured":"Dias, J.P., Figueira, M., Frid, H.: Vanishing viscosity with short wave long wave interactions for systems of conservation laws, Arch. Ration. Mech. Anal. (to appear)"},{"key":"14_CR7","doi-asserted-by":"crossref","first-page":"493","DOI":"10.1016\/j.crma.2007.03.005","volume":"344","author":"J.P. Dias","year":"2007","unstructured":"Dias J.P., Figueira M., Oliveira F.: Existence of local strong solutions for a quasilinear Benney system. C.R. Acad. Sci. Paris I 344, 493\u2013496 (2007)","journal-title":"C.R. Acad. Sci. Paris I"},{"key":"14_CR8","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1146\/annurev.fluid.31.1.301","volume":"31","author":"F. Dias","year":"1999","unstructured":"Dias F., Kharif C.: Nonlinear gravity and capillary\u2013gravity waves. Annu. Rev. Fluid Mech. 31, 301\u2013346 (1999)","journal-title":"Annu. Rev. Fluid Mech."},{"key":"14_CR9","doi-asserted-by":"crossref","first-page":"351","DOI":"10.1215\/S0012-7094-01-10725-4","volume":"107","author":"T. Colin","year":"2001","unstructured":"Colin T., Lannes D.: Long-wave short-wave resonance for nonlinear geometric optics. Duke Math. J. 107, 351\u2013419 (2001)","journal-title":"Duke Math. J."},{"key":"14_CR10","doi-asserted-by":"crossref","first-page":"509","DOI":"10.1016\/0362-546X(94)00106-R","volume":"4","author":"P. Lauren\u00e7ot","year":"1995","unstructured":"Lauren\u00e7ot P.: On a nonlinear Schr\u00f6dinger equation arising in the theory of water waves. Nonlinear Anal. TMA 4, 509\u2013527 (1995)","journal-title":"Nonlinear Anal. TMA"},{"key":"14_CR11","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1002\/sapm1978593201","volume":"59","author":"Y.C. Ma","year":"1978","unstructured":"Ma Y.C.: The complete solution of the long-wave\u2013short-wave resonance equations. Stud. Appl. Math. 59, 201\u2013221 (1978)","journal-title":"Stud. Appl. Math."},{"key":"14_CR12","doi-asserted-by":"crossref","first-page":"569","DOI":"10.1007\/BF01463396","volume":"106","author":"H. Schochet","year":"1986","unstructured":"Schochet H., Weinstein M.I.: The nonlinear Schr\u00f6dinger limit of the Zakharov equations governing Langmuir turbulence. Commun. Math. Phys. 106, 569\u2013580 (1986)","journal-title":"Commun. Math. Phys."},{"key":"14_CR13","volume-title":"The Nonlinear Schr\u00f6dinger Equation. Appl. Math. Sci., vol. 139","author":"C. Sulem","year":"1999","unstructured":"Sulem C., Sulem P.-L.: The Nonlinear Schr\u00f6dinger Equation. Appl. Math. Sci., vol. 139. Springer, New York (1999)"},{"key":"14_CR14","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1016\/0362-546X(94)90032-9","volume":"22","author":"M. Tsutsumi","year":"1994","unstructured":"Tsutsumi M., Hatano S.: Well-posedness of the Cauchy problem for the long wave\u2013short wave resonance equations. Nonlinear Anal. TMA 22, 155\u2013171 (1994)","journal-title":"Nonlinear Anal. TMA"},{"key":"14_CR15","first-page":"289","volume":"37","author":"M. Tsutsumi","year":"1994","unstructured":"Tsutsumi M., Hatano S.: Well-Posedness of the Cauchy Problem for Benneys first equations of long wave short wave interactions. Funkcialaj Ekvacioj 37, 289\u2013316 (1994)","journal-title":"Funkcialaj Ekvacioj"},{"key":"14_CR16","doi-asserted-by":"crossref","first-page":"1719","DOI":"10.1143\/PTP.56.1719","volume":"56","author":"N. Yajima","year":"1974","unstructured":"Yajima N., Oikawa M.: Formation and interaction of sonic-Langmuir solitons. Prog. Theor. Phys. 56, 1719\u20131739 (1974)","journal-title":"Prog. Theor. Phys."}],"container-title":["Journal of Mathematical Fluid Mechanics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00021-009-0014-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00021-009-0014-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00021-009-0014-1","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,22]],"date-time":"2019-05-22T19:30:16Z","timestamp":1558553416000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00021-009-0014-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,10,17]]},"references-count":16,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2011,6]]}},"alternative-id":["14"],"URL":"https:\/\/doi.org\/10.1007\/s00021-009-0014-1","relation":{},"ISSN":["1422-6928","1422-6952"],"issn-type":[{"value":"1422-6928","type":"print"},{"value":"1422-6952","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,10,17]]}}}