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Wiktor Eckhaus

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where his father was managing a fur company. During the German occupation of Poland, he, his mother and sister had to hide because of their Jewish descent. His father, after being a prisoner of war, joined the Russian Army. After the war, in 1947, the re-united family came to
256:. Thereafter, in 1965, he became professor at the Delft University of Technology, in pure and applied mathematics and mechanics. From 1972 until his retirement in 1994, Eckhaus was professor of applied mathematics at the Utrecht University. 820: 815: 775: 790: 726: 633: 330: 810: 785: 800: 805: 500:——; de Jager, E.M. (1966), "Asymptotic solutions of singular perturbation problems for linear differential equations of elliptic type", 455: 407: 389: 371: 353: 230: 98: 770: 226: 154: 284: 549: 31: 705: 272: 222: 149: 745: 288: 627: 438:—— (1983), "Relaxation oscillations including a standard chase on French ducks", in Verhulst, F. (ed.), 795: 416:—— (1975), "New approach to the asymptotic theory of nonlinear oscillations and wave propagation", 780: 249: 244:
In 1960, he became a "maître de recherches" (senior research fellow) at the Department of Mechanics of the
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Session 1964-1965-8184 – Naturalisation of van den Berg, Lilli Elfriede and 28 others
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Zitting 1964-1965-8184 – Naturalisatie van van den Berg, Lilli Elfriede en 28 anderen
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The inverse scattering transformation and the theory of solitons – An introduction
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in Amsterdam, from 1953 till 1957. In the period 1957–1960 he worked at the
207: 30: 442:, Lecture Notes in Mathematics, vol. 985, Springer, pp. 449–494, 384:, Studies in Mathematics and its Applications, vol. 9, North Holland, 315: 521: 485: 464:—— (1993), "The Ginzburg–Landau manifold is an attractor", 447: 292: 264: 202: 55: 713:
Duistermaat, J.J.; Doelman, A.; Grasman, J.; van Harten, A. (2003),
312:"Relaxation oscillations including a standard chase on French ducks" 577: 689:
Doelman, A.; Duistermaat, H.; Grasman, J.; van Harten, A. (2001),
283:, appearing for instance as a secondary instability in models of 348:, Springer Tracts in Natural Philosophy, vol. 6, Springer, 322:, as an example of a problem only treatable through the use of 821:
Members of the Royal Netherlands Academy of Arts and Sciences
189:. He was Professor Emeritus of Applied Mathematics at the 364:
Matched asymptotic expansions and singular perturbations
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Eckhaus was born into a wealthy family, and raised in
239:"Some problems of unsteady flow with discontinuities" 816:
Academic staff of the Delft University of Technology
544:] (Autobiography) (in Dutch), Bas Lubberhuizen, 402:, Mathematics Studies, vol. 50, North Holland, 366:, Mathematics Studies, vol. 6, North Holland, 181:(28 June 1930 – 1 October 2000) was a Polish–Dutch 160: 140: 125: 104: 94: 84: 62: 37: 21: 727:Koninklijke Nederlandse Akademie van Wetenschappen 634:Koninklijke Nederlandse Akademie van Wetenschappen 418:Journal of Mathematical Analysis and Applications 580:for a discussion on his date and place of birth. 538:Witus en de jaren van angst – Een reconstructie 440:Asymptotic Analysis II – Surveys and New Trends 542:Witus and the years of fear – A reconstruction 331:Royal Netherlands Academy of Arts and Sciences 225:. Following his graduation he worked with the 382:Asymptotic analysis of singular perturbations 248:. In 1964 he was a visiting professor at the 8: 275:. This resulted in what is now known as the 233:, where Eckhaus earned a PhD in 1959 under 18: 429: 791:Dutch people of Ukrainian-Jewish descent 651: 573: 565: 398:——; van Harten, A. (1981), 622: 620: 346:Studies in nonlinear stability theory 310:) – resulting in his most-read paper 298:In 1983 he treated strongly singular 231:Massachusetts Institute of Technology 185:, known for his work on the field of 99:Massachusetts Institute of Technology 7: 811:Academic staff of Utrecht University 318:, on a problem qualified before, by 213:Wiktor passed the state exam of the 786:Polish emigrants to the Netherlands 776:People from Stanisławów Voivodeship 314:. Eckhaus used standard methods of 14: 801:20th-century Dutch mathematicians 267:, leading to his research on the 210:– via a refugee camp in Austria. 806:MIT School of Engineering alumni 706:Koninklijk Wiskundig Genootschap 273:nonlinear differential equations 29: 723:Levensberichten en Herdenkingen 223:Delft University of Technology 217:in 1948, and started to study 150:Delft University of Technology 1: 746:Mathematics Genealogy Project 277:Eckhaus instability criterion 227:National Aerospace Laboratory 155:National Aerospace Laboratory 717:[Eulogy W. Eckhaus] 691:"In memoriam Wiktor Eckhaus" 663:Martin Wechselberger (ed.). 629:Wiktor Eckhaus (1929 – 2000) 466:Journal of Nonlinear Science 431:10.1016/0022-247X(75)90200-0 289:singular perturbation theory 771:People from Ivano-Frankivsk 698:Nieuw Archief voor Wiskunde 287:. Later, Eckhaus worked on 237:on a dissertation entitled 837: 715:"Levensbericht W. Eckhaus" 329:He became a member of the 285:Rayleigh–Bénard convection 16:Polish–Dutch mathematician 271:of solutions to (weakly) 259:Initially he studied the 172: 118: 28: 725:(in Dutch), Amsterdam: 536:—— (1997), 380:—— (1979), 362:—— (1973), 300:relaxation oscillations 250:University of Amsterdam 502:Arch. Rat. Mech. Anal. 187:differential equations 578:Doelman et al. (2001) 324:non-standard analysis 344:Eckhaus, W. (1965), 514:1966ArRMA..23...26E 478:1993JNS.....3..329E 281:Eckhaus instability 254:Mathematical Centre 215:Hogere Burgerschool 109:Eckhaus instability 711:Also appeared as: 522:10.1007/BF00281135 486:10.1007/BF02429869 448:10.1007/BFb0062381 191:Utrecht University 145:Utrecht University 457:978-3-540-12286-9 409:978-0-444-55731-5 391:978-0-444-85306-6 373:978-0-7204-2600-7 355:978-3-642-88319-4 176: 175: 120:Scientific career 828: 730: 720: 709: 695: 675: 674: 660: 654: 649: 643: 642: 641: 640: 624: 615: 614: 613: 612: 607:, 14 August 1965 602: 587: 581: 570: 554: 532: 496: 460: 434: 433: 412: 394: 376: 358: 162:Doctoral advisor 113:Eckhaus equation 69: 47: 45: 33: 19: 836: 835: 831: 830: 829: 827: 826: 825: 796:Aerodynamicists 751: 750: 738: 733: 718: 712: 710: 693: 688: 684: 679: 678: 662: 661: 657: 650: 646: 638: 636: 626: 625: 618: 610: 608: 605:Staten Generaal 600: 589: 588: 584: 571: 567: 562: 557: 552: 535: 499: 463: 458: 437: 415: 410: 397: 392: 379: 374: 361: 356: 343: 339: 199: 153: 148: 133: 111: 95:Alma mater 80: 71: 67: 58: 49: 43: 41: 24: 17: 12: 11: 5: 834: 832: 824: 823: 818: 813: 808: 803: 798: 793: 788: 783: 781:Ukrainian Jews 778: 773: 768: 763: 753: 752: 749: 748: 742:Wiktor Eckhaus 737: 736:External links 734: 732: 731: 685: 683: 680: 677: 676: 655: 652:Eckhaus (1983) 644: 616: 582: 574:Eckhaus (1997) 564: 563: 561: 558: 556: 555: 550: 533: 497: 472:(1): 329–348, 461: 456: 435: 424:(3): 575–611, 413: 408: 395: 390: 377: 372: 359: 354: 340: 338: 335: 198: 195: 179:Wiktor Eckhaus 174: 173: 170: 169: 164: 158: 157: 142: 138: 137: 127: 123: 122: 116: 115: 106: 105:Known for 102: 101: 96: 92: 91: 86: 82: 81: 72: 70:(aged 70) 66:1 October 2000 64: 60: 59: 50: 39: 35: 34: 26: 25: 23:Wiktor Eckhaus 22: 15: 13: 10: 9: 6: 4: 3: 2: 833: 822: 819: 817: 814: 812: 809: 807: 804: 802: 799: 797: 794: 792: 789: 787: 784: 782: 779: 777: 774: 772: 769: 767: 764: 762: 759: 758: 756: 747: 743: 740: 739: 735: 728: 724: 716: 707: 703: 699: 692: 687: 686: 681: 672: 671: 666: 659: 656: 653: 648: 645: 635: 631: 630: 623: 621: 617: 606: 598: 594: 593: 586: 583: 579: 575: 569: 566: 559: 553: 551:9789073978690 547: 543: 539: 534: 531: 527: 523: 519: 515: 511: 507: 503: 498: 495: 491: 487: 483: 479: 475: 471: 467: 462: 459: 453: 449: 445: 441: 436: 432: 427: 423: 419: 414: 411: 405: 401: 396: 393: 387: 383: 378: 375: 369: 365: 360: 357: 351: 347: 342: 341: 336: 334: 332: 327: 325: 321: 317: 313: 309: 305: 301: 296: 294: 290: 286: 282: 278: 274: 270: 266: 262: 257: 255: 251: 247: 242: 240: 236: 235:Leon Trilling 232: 228: 224: 220: 216: 211: 209: 204: 196: 194: 192: 188: 184: 183:mathematician 180: 171: 168: 167:Leon Trilling 165: 163: 159: 156: 151: 146: 143: 139: 136: 131: 128: 124: 121: 117: 114: 110: 107: 103: 100: 97: 93: 90: 87: 83: 79: 75: 65: 61: 57: 53: 40: 36: 32: 27: 20: 722: 701: 700:(in Dutch), 697: 670:Scholarpedia 668: 658: 647: 637:, retrieved 628: 609:, retrieved 603:(in Dutch), 596: 591: 585: 568: 541: 537: 508:(1): 26–86, 505: 501: 469: 465: 439: 421: 417: 399: 381: 363: 345: 337:Publications 328: 311: 307: 306:(French for 303: 297: 280: 276: 258: 243: 238: 212: 200: 178: 177: 141:Institutions 135:aerodynamics 119: 68:(2000-10-01) 48:28 June 1930 766:2000 deaths 761:1930 births 320:Marc Diener 295:equations. 219:aeronautics 130:mathematics 89:Netherlands 85:Nationality 78:Netherlands 52:Stanisławów 755:Categories 682:References 639:2014-09-06 611:2014-09-06 74:Amstelveen 44:1930-06-28 665:"Canards" 494:122662589 333:in 1987. 304:"canards" 302:– called 269:stability 208:Amsterdam 197:Biography 729:: 19–24. 708:: 18–20. 316:analysis 265:airfoils 252:and the 246:Sorbonne 744:at the 510:Bibcode 474:Bibcode 308:"ducks" 293:soliton 263:around 221:at the 599:] 548:  530:843282 528:  492:  454:  406:  388:  370:  352:  203:Warsaw 126:Fields 56:Poland 719:(PDF) 704:(1), 694:(PDF) 601:(pdf) 595:[ 560:Notes 540:[ 526:S2CID 490:S2CID 576:and 572:See 546:ISBN 452:ISBN 404:ISBN 386:ISBN 368:ISBN 350:ISBN 291:and 279:and 261:flow 63:Died 38:Born 518:doi 482:doi 444:doi 426:doi 757:: 721:, 696:, 667:. 632:, 619:^ 524:, 516:, 506:23 504:, 488:, 480:, 468:, 450:, 422:49 420:, 326:. 241:. 193:. 152:, 147:, 132:, 76:, 54:, 702:2 673:. 520:: 512:: 484:: 476:: 470:3 446:: 428:: 46:) 42:(

Index


Stanisławów
Poland
Amstelveen
Netherlands
Netherlands
Massachusetts Institute of Technology
Eckhaus instability
Eckhaus equation
mathematics
aerodynamics
Utrecht University
Delft University of Technology
National Aerospace Laboratory
Doctoral advisor
Leon Trilling
mathematician
differential equations
Utrecht University
Warsaw
Amsterdam
Hogere Burgerschool
aeronautics
Delft University of Technology
National Aerospace Laboratory
Massachusetts Institute of Technology
Leon Trilling
Sorbonne
University of Amsterdam
Mathematical Centre

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