Knowledge (XXG)

Yvan Martel

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Martel, Yvan; Merle, Frank (2011). "Review of long time asymptotics and collision of solitons for the quartic generalized Korteweg—de Vries equation".
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Cabré, Xavier; Martel, Yvan (1999). "Existence versus explosion instantanée pour des équations de la chaleur linéaires avec potentiel singulier".
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Martel, Yvan; Merle, Frank (2002). "Stability of Blow-Up Profile and Lower Bounds for Blow-Up Rate for the Critical Generalized KDV Equation".
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Krieger, Joachim; Raphaël, Pierre; Martel, Yvan (2009). "Two-soliton solutions to the three-dimensional gravitational Hartree equation".
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Martel, Yvan (2005). "Asymptotic N-soliton-like solutions of the subcritical and critical generalized Korteweg-de Vries equations".
298: 49: 119: 115: 122:. In 2011 he gave a one-hour lecture at the Rivière-Fabes symposium in Minneapolis. In 2018 he was an invited speaker at the 281:
Martel, Yvan; Merle, Frank (2004). "Review on blow up and asymptotic dynamics for critical and subcritical gKDV equations".
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Martel, Yvan; Merle, Frank (2007). "Asymptotic stability of solitons of the gKdV equations with general nonlinearity".
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Martel, Yvan (2006). "Linear Problems Related to Asymptotic Stability of Solitons of the Generalized KDV Equations".
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at Cergy-Pontoise University from 1997 to 2004, on leave at École Polytechnique as a full-time associate professor (
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Martel, Yvan; Merle, Frank (2011). "Description of two soliton collision for the quartic gKDV equation".
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Martel's research deals with partial differential equations from mathematical physics, especially
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and graduated there in 1992 with an undergraduate degree and in 1993 with a
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Noncompact Problems at the Intersection of Geometry, Analysis, and Topology
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Mathematics Department of the University of Minnesota (math.umn.edu)
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Academic staff of Versailles Saint-Quentin-en-Yvelines University
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Martel, Yvan; Merle, Frank; Tsai, Tai-Peng (2006). "Stability in
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in Amsterdam. From 2008 to 2012, he was a junior member of the
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solitary waves for some nonlinear Schrödinger equations".
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Proceedings of the Royal Society of Edinburgh, Section A
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critical dispersion generalized Benjamin–Ono equations"
575: 391: 364: 242: 588: 397: 377: 248: 142:Comptes Rendus de l'AcadĂ©mie des Sciences, SĂ©rie I 22:(born January 5, 1970) is a French mathematician. 98:Versailles Saint-Quentin-en-Yvelines University 567:Kenig, C.E.; Martel, Y.; Robbiano, L. (2011). 491:Communications on Pure and Applied Mathematics 114:In 2008 Martel was an invited speaker at the 8: 260:Journal of the American Mathematical Society 96:) at École Polytechnique and a professor at 93:Professeur chargĂ© de cours Ă  temps incomplet 107:from 2008 to 2012 and the director of the 103:laboratoire de mathĂ©matiques de Versailles 87:Professeur chargĂ© de cours Ă  temps complet 60:, Martel habilitated in 2000 with advisor 629: 611: 580: 574: 541: 502: 447: 390: 369: 363: 271: 241: 200: 169: 816:Pierre and Marie Curie University alumni 124:International Congress of Mathematicians 109:Centre de mathĂ©matiques Laurent-Schwartz 681: 71:. He has collaborated extensively with 600:Annales de l'Institut Henri PoincarĂ© C 821:Academic staff of École Polytechnique 339:SIAM Journal on Mathematical Analysis 7: 689: 687: 685: 52:(Paris 6) he graduated in 1996 with 256:-critical generalized KdV equation" 234:Martel, Yvan; Merle, Frank (2002). 30:Martel matriculated in 1989 at the 806:21st-century French mathematicians 801:20th-century French mathematicians 14: 50:Pierre and Marie Curie University 120:Institut Universitaire de France 116:European Congress of Mathematics 16:French mathematician (born 1970) 310:American Journal of Mathematics 1: 419:10.1215/S0012-7094-06-13331-8 273:10.1090/S0894-0347-02-00392-2 162:10.1016/S0764-4442(00)88588-2 100:. He was the director of the 37:DiplĂ´me d'Ă©tudes approfondies 695:"Yvan Martel, CV in English" 631:10.1016/j.anihpc.2011.06.005 776:Yvan Martel, CNRS home page 552:10.4007/annals.2011.174.2.2 842: 811:École Polytechnique alumni 713:"Yvan Martel, Professeur" 661:10.1017/S030821051000003X 466:10.1007/s00208-007-0194-z 407:Duke Mathematical Journal 58:Cergy-Pontoise University 590: 399: 379: 291:10.1090/conm/350/06344 250: 591: 589:{\displaystyle L^{2}} 530:Annals of Mathematics 436:Mathematische Annalen 400: 380: 378:{\displaystyle H^{1}} 322:10.1353/ajm.2005.0033 251: 189:Annals of Mathematics 134:Selected publications 81:MaĂ®tre de confĂ©rences 573: 389: 362: 240: 26:Education and career 717:École Polytechnique 622:2011AIHPC..28..853K 458:2007arXiv0706.1174M 154:1999CRASM.329..973C 105:(UVSQ/CNRS UMR8100) 32:École Polytechnique 586: 395: 375: 246: 46:numerical analysis 42:nonlinear analysis 513:10.1002/cpa.20292 497:(11): 1501–1550. 398:{\displaystyle K} 351:10.1137/050637510 249:{\displaystyle L} 54:Thèse de Doctorat 833: 764: 763: 757: 748: 742: 741: 735: 727: 721: 720: 709: 703: 702: 691: 672: 643: 633: 615: 595: 593: 592: 587: 585: 584: 563: 545: 524: 506: 485: 451: 430: 404: 402: 401: 396: 384: 382: 381: 376: 374: 373: 354: 333: 316:(5): 1103–1140. 304: 277: 275: 255: 253: 252: 247: 230: 204: 183: 173: 841: 840: 836: 835: 834: 832: 831: 830: 781: 780: 772: 767: 755: 750: 749: 745: 733: 729: 728: 724: 711: 710: 706: 693: 692: 683: 679: 646: 576: 571: 570: 566: 527: 488: 433: 387: 386: 365: 360: 359: 357: 336: 307: 301: 280: 238: 237: 233: 211:10.2307/3062156 186: 148:(11): 973–978. 139: 136: 28: 17: 12: 11: 5: 839: 837: 829: 828: 823: 818: 813: 808: 803: 798: 793: 783: 782: 779: 778: 771: 770:External links 768: 766: 765: 751:Martel, Yvan. 743: 722: 704: 680: 678: 675: 674: 673: 655:(2): 287–317. 644: 606:(6): 853–887. 583: 579: 564: 536:(2): 757–857. 525: 486: 442:(2): 391–427. 431: 413:(3): 405–466. 394: 385:of the sum of 372: 368: 355: 345:(3): 759–781. 334: 305: 299: 278: 266:(3): 617–665. 245: 231: 195:(1): 235–280. 184: 135: 132: 128:Rio de Janeiro 27: 24: 15: 13: 10: 9: 6: 4: 3: 2: 838: 827: 824: 822: 819: 817: 814: 812: 809: 807: 804: 802: 799: 797: 796:Living people 794: 792: 789: 788: 786: 777: 774: 773: 769: 761: 754: 747: 744: 739: 732: 726: 723: 718: 714: 708: 705: 700: 696: 690: 688: 686: 682: 676: 670: 666: 662: 658: 654: 650: 645: 641: 637: 632: 627: 623: 619: 614: 609: 605: 601: 597: 581: 577: 565: 561: 557: 553: 549: 544: 539: 535: 531: 526: 522: 518: 514: 510: 505: 500: 496: 492: 487: 483: 479: 475: 471: 467: 463: 459: 455: 450: 445: 441: 437: 432: 428: 424: 420: 416: 412: 408: 392: 370: 366: 356: 352: 348: 344: 340: 335: 331: 327: 323: 319: 315: 311: 306: 302: 300:9780821836354 296: 292: 288: 284: 279: 274: 269: 265: 261: 257: 243: 232: 228: 224: 220: 216: 212: 208: 203: 198: 194: 190: 185: 181: 177: 172: 167: 163: 159: 155: 151: 147: 143: 138: 137: 133: 131: 129: 125: 121: 117: 112: 110: 106: 104: 99: 95: 94: 89: 88: 83: 82: 78:Martel was a 76: 74: 70: 65: 63: 59: 55: 51: 47: 43: 39: 38: 33: 25: 23: 21: 760:math.cnrs.fr 759: 746: 737: 725: 716: 707: 698: 652: 648: 603: 599: 533: 529: 494: 490: 439: 435: 410: 406: 342: 338: 313: 309: 282: 263: 259: 202:math/0405229 192: 188: 145: 141: 113: 102: 92: 86: 79: 77: 66: 62:Jean Ginibre 53: 35: 29: 19: 18: 791:1970 births 73:Frank Merle 20:Yvan Martel 785:Categories 677:References 669:125047035 640:0294-1449 613:1006.0122 560:115170654 543:0709.2672 504:0811.3637 474:0025-5831 449:0706.1174 427:0012-7094 330:121636286 180:0764-4442 40:(DEA) in 521:14888016 482:17518506 227:14960075 171:2117/764 69:solitons 618:Bibcode 454:Bibcode 219:3062156 150:Bibcode 667:  638:  558:  519:  480:  472:  425:  328:  297:  225:  217:  178:  756:(PDF) 734:(PDF) 699:CNRSt 665:S2CID 608:arXiv 556:S2CID 538:arXiv 517:S2CID 499:arXiv 478:S2CID 444:arXiv 326:S2CID 223:S2CID 215:JSTOR 197:arXiv 48:. 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Index

École Polytechnique
DiplĂ´me d'Ă©tudes approfondies
nonlinear analysis
numerical analysis
Pierre and Marie Curie University
Cergy-Pontoise University
Jean Ginibre
solitons
Frank Merle
Maître de conférences
Professeur chargé de cours à temps complet
Professeur chargé de cours à temps incomplet
Versailles Saint-Quentin-en-Yvelines University
laboratoire de mathématiques de Versailles (UVSQ/CNRS UMR8100)
Centre de mathématiques Laurent-Schwartz
European Congress of Mathematics
Institut Universitaire de France
International Congress of Mathematicians
Rio de Janeiro
Bibcode
1999CRASM.329..973C
doi
10.1016/S0764-4442(00)88588-2
hdl
2117/764
ISSN
0764-4442
arXiv
math/0405229
doi

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