|
Pierre Van Moerbeke
Pierre van Moerbeke (born 1 October 1944 in Leuven, Belgium) is a Belgian mathematician. He studied mathematics at the Catholic University of Leuven (1834–1968), Catholic University of Leuven, where he received his degree in 1966. He then obtained a PhD in mathematics at Rockefeller University, New York City (1972). He is a professor of mathematics at Brandeis University (United States) and the UCL. He studies non-linear differential equations and partial differential equations, with soliton behavior. In 1988, he was awarded the Francqui Prize on Exact Sciences. See also *Volterra lattice, Kac-van Moerbeke lattice External links Official Webpage* Flemish scientists, Van Moerbeke, Pierre 1944 births, Van Moerbeke, Pierre Academic staff of the Université catholique de Louvain, Van Moerbeke, Pierre Catholic University of Leuven (1834–1968) alumni, Van Moerbeke, Pierre Living people, Van Moerbeke, Pierre {{Belgium-scient ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Leuven
Leuven (, ) or Louvain (, , ; german: link=no, Löwen ) is the capital and largest city of the province of Flemish Brabant in the Flemish Region of Belgium. It is located about east of Brussels. The municipality itself comprises the historic city and the former neighbouring municipalities of Heverlee, Kessel-Lo, a part of Korbeek-Lo, Wilsele and Wijgmaal. It is the eighth largest city in Belgium, with more than 100,244 inhabitants. KU Leuven, Belgium's largest university, has its flagship campus in Leuven, which has been a university city since 1425. This makes it the oldest university city in the Low Countries. The city is home of the headquarters of Anheuser-Busch InBev, the world's largest beer brewer and sixth-largest fast-moving consumer goods company. History Middle Ages The earliest mention of Leuven (''Loven'') dates from 891, when a Viking army was defeated by the Frankish king Arnulf of Carinthia (see: Battle of Leuven). According to a legend, the city's red ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Belgium
Belgium, ; french: Belgique ; german: Belgien officially the Kingdom of Belgium, is a country in Northwestern Europe. The country is bordered by the Netherlands to the north, Germany to the east, Luxembourg to the southeast, France to the southwest, and the North Sea to the northwest. It covers an area of and has a population of more than 11.5 million, making it the 22nd most densely populated country in the world and the 6th most densely populated country in Europe, with a density of . Belgium is part of an area known as the Low Countries, historically a somewhat larger region than the Benelux group of states, as it also included parts of northern France. The capital and largest city is Brussels; other major cities are Antwerp, Ghent, Charleroi, Liège, Bruges, Namur, and Leuven. Belgium is a sovereign state and a federal constitutional monarchy with a parliamentary system. Its institutional organization is complex and is structured on both regional ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Catholic University Of Leuven (1834–1968)
The Catholic University of Leuven or Louvain (french: Université catholique de Louvain, nl, Katholieke Hogeschool te Leuven, later ''Katholieke Universiteit te Leuven'') was founded in 1834 in Mechelen as the Catholic University of Belgium, and moved its seat to the town of Leuven in 1835, changing its name to Catholic University of Leuven.''Encyclopédie théologique'', tome 54, ''Dictionnaire de l'histoire universelle de l'Église'', Paris : éd. J.P. Migne, 1863, ''sub verbo'' ''Grégoire XVI'', col. 1131 : "Après sa séparation de la Hollande en 1830, la Belgique libérale a vu son Église jouir d'une véritable indépendance. Les évêques s'assemblent en conciles, communiquent avec le Saint-Siège en toute liberté. Sur l'article fondamental des études, ils ont fondé l'université catholique de Louvain, où les jeunes Belges vont en foule puiser aux sources les plus pures toutes les richesses de la science". And : Edward van Even, ''Louvain dans le passé et dans le prà ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rockefeller University
The Rockefeller University is a private biomedical research and graduate-only university in New York City, New York. It focuses primarily on the biological and medical sciences and provides doctoral and postdoctoral education. It is classified among "R2: Doctoral Universities – High research activity." Rockefeller is the oldest biomedical research institute in the United States. In 2018, the faculty included 82 tenured and tenure-track members, including 37 members of the National Academy of Sciences, 17 members of the National Academy of Medicine, seven Lasker Award recipients, and five Nobel laureates. As of March 2022, a total of 26 Nobel laureates have been affiliated with Rockefeller University. The university is located on the Upper East Side of Manhattan, between 63rd and 68th streets on York Avenue. Richard P. Lifton became the university's eleventh president on September 1, 2016. The Rockefeller University Press publishes the ''Journal of Experimental Medicine' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
New York City
New York, often called New York City or NYC, is the List of United States cities by population, most populous city in the United States. With a 2020 population of 8,804,190 distributed over , New York City is also the List of United States cities by population density, most densely populated major city in the United States, and is more than twice as populous as second-place Los Angeles. New York City lies at the southern tip of New York (state), New York State, and constitutes the geographical and demographic center of both the Northeast megalopolis and the New York metropolitan area, the largest metropolitan area in the world by urban area, urban landmass. With over 20.1 million people in its metropolitan statistical area and 23.5 million in its combined statistical area as of 2020, New York is one of the world's most populous Megacity, megacities, and over 58 million people live within of the city. New York City is a global city, global Culture of New ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Brandeis University
, mottoeng = "Truth even unto its innermost parts" , established = , type = Private research university , accreditation = NECHE , president = Ronald D. Liebowitz , provost = Carol Fierke , city = Waltham , state = Massachusetts , country = United States , endowment = $1.07 billion (2019) , students = 5,458 (2021) , undergrad = 3,591 (2021) , postgrad = 1,967 (2021) , faculty = 544 (2021) , administrative_staff = 1,314 (2021) , campus = Small City, , mascot = The Judge and Ollie the Owl (named for Justice Oliver Wendell Holmes Jr.) , sports_nickname = Judges , colors = Brandeis Blue , athletics_affiliations = , academic_affiliations = , website = , logo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
United States
The United States of America (U.S.A. or USA), commonly known as the United States (U.S. or US) or America, is a country primarily located in North America. It consists of 50 states, a federal district, five major unincorporated territories, nine Minor Outlying Islands, and 326 Indian reservations. The United States is also in free association with three Pacific Island sovereign states: the Federated States of Micronesia, the Marshall Islands, and the Republic of Palau. It is the world's third-largest country by both land and total area. It shares land borders with Canada to its north and with Mexico to its south and has maritime borders with the Bahamas, Cuba, Russia, and other nations. With a population of over 333 million, it is the most populous country in the Americas and the third most populous in the world. The national capital of the United States is Washington, D.C. and its most populous city and principal financial center is New York City. Paleo-Americ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Differential Equation
In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, and the differential equation defines a relationship between the two. Such relations are common; therefore, differential equations play a prominent role in many disciplines including engineering, physics, economics, and biology. Mainly the study of differential equations consists of the study of their solutions (the set of functions that satisfy each equation), and of the properties of their solutions. Only the simplest differential equations are solvable by explicit formulas; however, many properties of solutions of a given differential equation may be determined without computing them exactly. Often when a closed-form expression for the solutions is not available, solutions may be approximated numerically using computers. The theory of d ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Partial Differential Equation
In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a Multivariable calculus, multivariable function. The function is often thought of as an "unknown" to be solved for, similarly to how is thought of as an unknown number to be solved for in an algebraic equation like . However, it is usually impossible to write down explicit formulas for solutions of partial differential equations. There is, correspondingly, a vast amount of modern mathematical and scientific research on methods to Numerical methods for partial differential equations, numerically approximate solutions of certain partial differential equations using computers. Partial differential equations also occupy a large sector of pure mathematics, pure mathematical research, in which the usual questions are, broadly speaking, on the identification of general qualitative features of solutions of various partial differential equations, such a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Soliton
In mathematics and physics, a soliton or solitary wave is a self-reinforcing wave packet that maintains its shape while it propagates at a constant velocity. Solitons are caused by a cancellation of nonlinear and dispersive effects in the medium. (Dispersive effects are a property of certain systems where the speed of a wave depends on its frequency.) Solitons are the solutions of a widespread class of weakly nonlinear dispersive partial differential equations describing physical systems. The soliton phenomenon was first described in 1834 by John Scott Russell (1808–1882) who observed a solitary wave in the Union Canal in Scotland. He reproduced the phenomenon in a wave tank and named it the "Wave of Translation". Definition A single, consensus definition of a soliton is difficult to find. ascribe three properties to solitons: # They are of permanent form; # They are localized within a region; # They can interact with other solitons, and emerge from the collision unchanged, e ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Francqui Prize
The Francqui Prize is a prestigious Belgian scholarly and scientific prize named after Émile Francqui. Normally annually since 1933, the Francqui Foundation awards it in recognition of the achievements of a scholar or scientist, who at the start of the year still had to be under 50. It currently represents a sum of 250,000 Euros and is awarded in the following three-year rotation of subjects: exact sciences, social sciences or humanities, and biological or medical sciences. Proposed candidates must be associated with a Belgian academic institution, in the case of a foreigner for at least ten years. The recipient is selected by a jury of eight to 14 members, none of whom may be associated with a Belgian institution. The members of the international jury vote by secret letter, and the laureate they recommend must be supported by two thirds of the assembled directors of the foundation (with a quorum of 12) or no prize would be awarded that year. The prize is meant to encourage the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Volterra Lattice
In mathematics, the Volterra lattice, also known as the discrete KdV equation, the Kac–van Moerbeke lattice, and the Langmuir lattice, is a system of ordinary differential equations with variables indexed by some of the points of a 1-dimensional lattice. It was introduced by and and is named after Vito Volterra. The Volterra lattice is a special case of the generalized Lotka–Volterra equation describing predator–prey interactions, for a sequence of species with each species preying on the next in the sequence. The Volterra lattice also behaves like a discrete version of the KdV equation. The Volterra lattice is an integrable system, and is related to the Toda lattice. It is also used as a model for Langmuir wave Langmuir may refer to: * Langmuir (crater), an impact crater on the Moon's far side * ''Langmuir'' (journal), an academic journal on colloids, surfaces and interfaces, published by the American Chemical Society * Langmuir (unit), a unit of expos ...s in plasmas ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
