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Topic: Diederik Korteweg


  
  KNAW > Van der Waals > Scientists > Korteweg
Diederik Johannes Korteweg (1848–1941) was born and raised in ’s Hertogenbosch, in the Southern Dutch province of Brabant.
In September 1881, at the age of 34, Korteweg was appointed a professor of mathematics at the University of Amsterdam.
Korteweg was associated with Van der Waals during the years that the latter was working on the phase separation of binary mixtures.
www.knaw.nl /waals/korteweg.html   (758 words)

  
 Korteweg biography
Korteweg originally intended to become an engineer but, although he maintained an interest in mechanics and other applications of mathematics throughout his life, his love of mathematics made him change direction for the second time when he was not enjoying the technical courses at Delft.
It is worth realising the breadth of Korteweg as a mathematician when one understands that most of his work is on applied mathematical topics, yet he supervised Brouwer's thesis on the foundations of mathematics.
Korteweg was a member of the Koninklijke Nederlandse Akademie van Wetenschappen (Royal Netherlands Academy of Arts and Sciences) for sixty years, being elected in 1881, and of the Wiskundig Genootschap (the
www-groups.dcs.st-and.ac.uk /~history/Biographies/Korteweg.html   (1164 words)

  
 Korteweg and de Vries
As a student at the University of Amsterdam Korteweg was impressed by the work of the later Nobel-laureate J.D. van der Waals (the equation of state and the continuity of the gas and fluid phases), and he published a
Korteweg was appointed at the University of Amsterdam as professor of mathematics, mechanics and astronomy in 1881.
D.J. Korteweg, Über Faltenpunkte; Sitzungsberichte der Akademie der Wissenschaften Wien, Mathematisch-Naturwissenschafliche Klasse, Abteilung 2A (1889), pp.1154-1191.
staff.science.uva.nl /~janwieg/korteweg   (1937 words)

  
 KdV `95
It described the behaviour of certain types of waves occurring in a shallow canal in terms of a non-linear differential equation.
Diederik Johannes Korteweg at the age of 80 in 1928
In the extensive obituary of Korteweg in the 1945/1946 Annals of the Royal Dutch Academy of Arts and Science, the KdV-equation is not even mentioned.
www.ercim.org /publication/Ercim_News/enw22/KdV'95.html   (546 words)

  
 Korteweg
Diederik Korteweg studied at the Polytechnical School at Delft.
In 1894 de Vries wrote a dissertation Bijdrage tot de kennis der lange golven supervised by Korteweg.
The results of this thesis were written up for publication in a joint paper published in 1905.
www.educ.fc.ul.pt /icm/icm2003/icm14/Korteweg.htm   (166 words)

  
 Korteweg–de Vries equation - Wikipedia, the free encyclopedia
The mathematical theory behind the KdV equation is rich and interesting, and, in the broad sense, is a topic of active mathematical research.
The equation is named for Diederik Korteweg and Gustav de Vries.
Mathematical aspects of equations of Korteweg-de Vries type are discussed on the Dispersive PDE Wiki.
en.wikipedia.org /wiki/Korteweg-de_Vries_equation   (557 words)

  
 NASA - Exploration Systems - Space Station Ingenuity
But 100 years ago a Dutch physicist named Diederik Korteweg pointed out a complication: sometimes miscible fluids act like immiscible fluids.
Korteweg was fascinated by what happens during that curious time just after miscible fluids are combined and just before they dissolve.
Korteweg knew that immiscible fluids tend to break apart into little droplets--a side-effect of surface tension.
exploration.nasa.gov /articles/25sep_ingenuity.html   (1141 words)

  
 Kitchen Cupboard Science   (Site not responding. Last check: 2007-10-10)
But in 1901, a scientist from Holland named Diederik Korteweg claimed that one type can sometimes behave like the other.
In those first moments, Korteweg reasoned, the fluid physics should be similar for both mixture types.
Knowing whether Korteweg's theory is true, and understanding the molecular interactions that underlie it, would be a step forward for materials science and fluid physics, says John Pojman, a professor of chemistry at the University of Southern Mississippi.
www.433eros.com /headlines/y2003/4review_miscible.html   (1201 words)

  
 Space Station Ingenuity
Left: A 19th century photograph of Diederik Korteweg.
[more] Korteweg was fascinated by what happens during that curious time just after miscible fluids are combined and just before they dissolve.
Diederik Korteweg -- biographical information about the Dutch scientist who first proposed the theory mentioned in this article Videos: click here for a 5.3 MB QuickTime movie of Professor Pojman doing an earlier miscible fluids experiment aboard the KC-135 "Vomit Comet"; click here for a 1.8 MB movie close-up of the samples during that experiment.
www.amsat.org /amsat/archive/sarex/200309/msg00082.html   (1116 words)

  
 NIST Technicalendar Online
The late 19th century studies of Dutch mathematician Diederik Johannes Korteweg (1848-1941) anticipated important work to be done in the 20th century, and the types of questions he tackled continue to be of interest.
Korteweg also studied the stress--now called the Korteweg stress--resulting from density gradients at an interface between two fluids.
She is the author of "How Fluids Unmix: Discoveries by the School of Van der Waals and Kamerlingh Onnes," (Edita, Royal Netherlands Academy of Arts and Sciences, Amsterdam, 2002), and of an article on Korteweg in the December 2002 issue of Physics Today.
nvl.nist.gov /pub/nistpubs/calendars/techcal/2003/030401-tc.htm   (2022 words)

  
 Luitzen Egbertus Jan Brouwer
Second, the reliance on a philosophy of mind introduces features that are absent from classical mathematics as well as from other forms of constructive mathematics: unlike those, intuitionistic mathematics is not a proper part of classical mathematics.
Brouwer studied at the (municipal) University of Amsterdam where his most important teachers were Diederik Korteweg (of the Korteweg-de Vries equation) and, especially philosophically, Gerrit Mannoury.
Brouwer's principal students were Maurits Belinfante and Arend Heyting; the latter, in turn, was the teacher of Anne Troelstra and Dirk van Dalen.
www.economyprofessor.com /theorists/luitzenegbertusjanbrouwer.php   (604 words)

  
 Cleverpedia, the ultimate encyclopedia   (Site not responding. Last check: 2007-10-10)
The Korteweg de Vries equation is a nonlinear partial differential equation of third order.
She was suggested to 1895 for the first time by Diederik Korteweg and Gustav de Vries to the analysis of shallow water waves in close channels.
A solution of the equation leads to the mathematical representation of Solitonen, which were observed for the first time in hydrodynamic tanks 1844 by John Scott Russell.
cleverpedia.com /sitemap1457   (1458 words)

  
 [No title]   (Site not responding. Last check: 2007-10-10)
But 100 years ago a Dutch physicist named  HYPERLINK "http://staff.science.uva.nl/%7Ejanwieg/korteweg/" Diederik Korteweg pointed out a complication: sometimes miscible fluids act like immiscible fluids.
Like Pojman and his collaborators Nick and Willie of France, Korteweg was fascinated by what happens during that time just after miscible fluids are combined … and just before they merge.
Miscible fluids should break apart in the same way, he calculated, during the earliest moments of gentle mixing.
spacescience.com /headlines/y2003/images/ingenuity/story1.doc   (589 words)

  
 Gustav de Vries - Wikipedia, the free encyclopedia
Gustav de Vries (1866-1934) was a Dutch mathematician, who is best remembered for his work on the Korteweg-de Vries equation with Diederik Korteweg.
He was born on January 22, 1866 in Amsterdam, and studied at the University of Amsterdam with the distinguished physical chemist Johannes van der Waals and with the mathematician Diederik Korteweg.
Under Korteweg's supervision de Vries completed his doctoral dissertation: Bijdrage tot de kennis der lange golven, Acad.
en.wikipedia.org /wiki/Gustav_de_Vries   (228 words)

  
 One hundred and twenty-five years of theoretical physics in Amsterdam
Interestingly, one of Van der Waals’s close colleagues, the mathematician Johannes Diederik Korteweg, can be characterized as a typical mathematical physicist.
Korteweg, who was Van der Waals’s first student (and in fact the first to obtain a doctorate at the University of Amsterdam) was much interested in applications of mathematics.
We know him nowadays in the first place as one of the names in the famous Korteweg-De Vries equation, but he has done much more.
staff.science.uva.nl /~kox/ITF-50-talk.html   (1687 words)

  
 PhysicsWeb - Blasts from the past
When we look at individual papers we find that the most-cited pre-1900 article was published by the Dutch applied mathematicians Diederik Johannes Korteweg and Gustav de Vries in Philosophical Magazine in 1895.
This paper, which introduced the concept of solitons, received about 600 citations in all journals (not just physics journals).
For instance, Gustav de Vries does not appear in table 1 because he was the second author on the paper with Korteweg.
www.cco.caltech.edu /~alex/Press/Blastsfromthepast.htm   (1830 words)

  
 Lone Wave - - science news articles online technology magazine articles Lone Wave   (Site not responding. Last check: 2007-10-10)
Airy and Stokes--and Russell himself, for that matter--had all failed to grasp that enduring waves could emerge from this balance.
In 1895 the Dutch mathematicians Diederik Johannes Korteweg and Hendrik de Vries recognized that such a balance of dispersion and compression could in fact produce a lone, durable lump of a wave, but they believed it could stem only from a highly unusual set of circumstances that would rarely occur in the real world.
It wasn't until 1965 that Martin Kruskal of Princeton and Norman Zabusky of Bell Laboratories realized that rather than being freaks of nature, these "solitons," as the two mathematicians dubbed them, appeared to be the rule.
www.discover.com /issues/dec-94/features/lonewave456   (3371 words)

  
 NJIT mathematician receives noted math prize
To solve the equation, Miura helped develop the inverse scattering method for solving nonlinear partial differential equations.
The equation was originally published in 1895 by Dutch mathematicians Diederik Johannes Korteweg (1848-1941) and Gustav de Vries (1866-1934).
The Korteweg-de-Vries equation was originally published in 1895 by Dutch mathematicians Diederik Johannes Korteweg (1848-1941) and Gustav de Vries (1866-1934).
www.eurekalert.org /pub_releases/2006-01/njio-nmr012406.php   (545 words)

  
 Luitzen Egbertus Jan Brouwer (Stanford Encyclopedia of Philosophy/Summer 2004 Edition)
They move to Blaricum, near Amsterdam, where they would live for the rest of their lives, although they also had houses in other places.
His philosophical inaugural lecture ‘Intuitionisme en Formalisme’ is translated into English as ‘Intuitionism and Formalism’ and thus becomes, in 1913, the first publication on intuitionism in that language.
1913 Appointed full professor ordinarius, succeeding Korteweg, who had generously offered to vacate his chair for the purpose.
www.science.uva.nl /~seop/archives/sum2004/entries/brouwer   (3689 words)

  
 AAAS elects NJIT professor as Fellow for math modeling research on the brain
To solve the Korteweg-de Vries equation, Miura helped develop the inverse scattering method for solving nonlinear partial differential equations.
The equation was originally published in 1895 by Dutch mathematicians Diederik Johannes Korteweg (1848-1941) and Gustav de Vries (1866-1934) at what is now the Technological Institute of Delft.
Miura recently co-authored "Spatial Buffering Mechanism: Mathematical Model and Computer Simulations," Mathematical Biosciences and Engineering, Volume 2 (2005); "Membrane Resonance and Stochastic Resonance Modulate Firing Patterns of Thalamocortical Neurons," Journal of Computational Neuroscience, Volume 16 (2004).
www.eurekalert.org /pub_releases/2005-10/njio-aen102705.php   (600 words)

  
 [No title]
MR80k:01041 Kox, A. Korteweg, de Vries, and Dutch science at the turn of the century.
The KdV equations are named after Korteweg and de Vries.
The spaces known today as Banach spaces were, I'm told, at first named "B-spaces" by Banach himself, perhaps hoping that someone would take the hint and name the spaces after him.
www.math.niu.edu /~rusin/known-math/98/MSC.names   (10614 words)

  
 Chronology of Pure and Applied Mathematics
Ferdinand Lindeman proves that pi is transcendental and that the circle cannot be squared with a compass and straight edge.
Diederik Korteweg and Gustav de Vries derive the KdV equation to describe the development of long solitary water waves in a canal of rectangular cross section.
Jacques Hadamard and Charles de La Vallee-Poussin independently prove the prime number theorem.
www.3rd1000.com /chronology/chrono23.htm   (1259 words)

  
 NASA - Space Station Ingenuity
Vitaly Volpert and Nick Bessonov of France have performed computer simulations that show a stream of a miscible fluids can break apart from the Korteweg stress and an elliptical drop will become spherical just as seen with immiscible fluids.
Diederik Korteweg -- biographical information about the Dutch scientist who first proposed the theory mentioned in this article
Press release -- about this research, from the University of Southern Mississippi
www.nasa.gov /vision/space/workinginspace/iss_ingenuity.html   (1073 words)

  
 The Mathematics Genealogy Project - Diederik Korteweg
Click here to see the students listed in chronological order.
According to our current on-line database, Diederik Korteweg has 18 students and 1062 descendants.
If you have additional information or corrections regarding this mathematician, please use the update form.
www.genealogy.math.ndsu.nodak.edu /html/id.phtml?id=7731   (86 words)

  
 De Nederland Stamboom Vries Zwolle   (Site not responding. Last check: 2007-10-10)
De Vries has an impressive political career: he has been a member of parliament for more than 15 years, he has been...
Gustav de Vries - Gustav de Vries (1866-1934) was a Dutch mathematician, who is best remembered for his work on the Korteweg-de Vries equation with Diederik Korteweg.
He was born on January 22 1866 in Amsterdam, and studied at the University of Amsterdam with the distinguished...
fo34.360mkt.info /denederlandstamboomvrieszwolle.html   (652 words)

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