205:
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
299:
268:
186:
108:
323:
765:
760:
509:
473:
253:
245:
214:
525:
489:
319:
190:
144:
545:
451:
403:
385:
367:
349:
590:
517:
481:
443:
425:
161:
112:
714:
604:
51:
690:
513:
477:
754:
597:
Session 1964-1965-8184 – Naturalisation of van den Berg, Lilli
Elfriede and 28 others
592:
Zitting 1964-1965-8184 – Naturalisatie van van den Berg, Lilli
Elfriede en 28 anderen
493:
430:
234:
182:
166:
669:
134:
529:
400:
The inverse scattering transformation and the theory of solitons – An introduction
218:
129:
88:
77:
664:
260:
73:
741:
229:
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
201:
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:(
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.