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Topic: Navier-Stokes existence and smoothness

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Mersenne: $7 Million in prizes They include: P versus NP The Hodge Conjecture The Poincaré Conjecture The Riemann Hypothesis* Yang-Mills Existence and Mass Gap Navier-Stokes Existence and Smoothness The Birch and Swinnerton-Dyer Conjecture *This one deals with prime numbers and is on-topic... www.mail-archive.com /mersenne@base.com/msg04789.html   (126 words)

Science Math Zesearch Polish Yellow Pages - Polska - Poland - Polen Millennium Prize Problems- The seven problems proposed by the Clay Mathematics Institute: P versus NP; Hodge Conjecture; Poincaré Conjecture; Riemann Hypothesis; Yang-Mills Existence and Mass Gap; Navier-Stokes Existence and Smoothness; Birch and Swinnerton-Dyer Conjecture. Information for Readers of sci.math.research- Charter and useful information for this moderated research-level newsgroup. www.yp.pl /ca/191674/Science/Math/Research   (109 words)

prizes The full list of problems: P versus NP, The Hodge Conjecture, The Poincaré Conjecture, The Reimann Hypothesis, Yang-Mills Existence and Mass Gap, Navier-Stokes Existence and Smoothness, and The Birch and Swinnerton-Dyer Conjecture. The Clay Mathematics Institute of Cambridge, Massachusetts (CMI) has named seven “Millennium Prize Problems.” The Board of Directors of CMI have designated a $7 million prize fund for the solution to these problems, with $1 million allocated to each. On the Riemann Hypothesis, the first hundred billion zeroes have been calculated by Zetagrid, without any counterexamples so far. www.mathpuzzle.com /prizes.html   (1111 words)

OPA News Release, 01/2001 Million-Dollar Math Mysteries April 11: Navier-Stokes Existence and Smoothness -- Dr. Luis Caffarelli, Sid W. Richardson Foundation Regents Chair In Mathematics. March 7: Yang-Mills Existence and Mass Gap -- Dr. Lorenzo Sadun, associate professor of mathematics. April 25: The Hodge Conjecture -- Dr. Dan Freed, professor of mathematics. www.utexas.edu /opa/news/01newsreleases/nr_200101/nr_math010129.html   (354 words)

One Million Bucks for a 100% Solution These "Millennium Prize Problems," selected by a blue ribbon committee, are the P versus NP problem, the Riemann hypothesis, the Hodge conjecture, the Poincaré conjecture, the Yang-Mills existence and mass gap, Navier-Stokes existence and smoothness, and the Birch and Swinnerton-Dyer conjecture. Prizes show the public that mathematics is far from a closed book, that it is not "all out there simply to be picked up from books or from the Web." They make the public aware of the existence of important unsolved problems and hence of the need for public support and encouragement. Several months ago the world of research mathematicians was electrified by the announcement that the Clay Mathematics Institute, a private organization, had established a $7 million prize fund, $1 million each for the solution of seven famous mathematical problems. www.siam.org /siamnews/10-00/solution.htm   (2547 words)

Chronology for 1990 to 2000 ; "Yang-Mills Existence and Mass Gap"; "Navier-Stokes Existence and Smoothness"; and The "Birch and Swinnerton-Dyer Conjecture". Called the Millennium Prize Problems they are: P versus NP; The "Hodge Conjecture"; The www-gap.dcs.st-and.ac.uk /~history/Chronology/1990_2000.html   (282 words)

ANALYSIS AND INCOMPRESSIBLE FLUID FLOW Abstract: "The existence of singular solutions of the incompressible Navier-Stokes system with singular external forces, the existence of regular solutions for more regular forces as well as the asymptotic stability of small solutions (includingstationary ones), and a pointwise loss of smoothness for solutions are proved in the same function space of pseudomeasure type." Among the problems which currently generate intense activity are: analytical treatment of boundary layers, strong solutions of the Navier-Stokes equations in spaces with borderline regularity and rigorous analysis of different asymptotic regimes using weak convergence techniques. Abstract: "Oceanography leads to the study of various interesting asymptotic regimes of Navier Stokes equations, or of the Primitive equations. www.ime.unicamp.br /~hlopes/amamweb.htm   (366 words)

One Million Bucks for a 100% Solution These "Millennium Prize Problems," selected by a blue ribbon committee, are the P versus NP problem, the Riemann hypothesis, the Hodge conjecture, the Poincaré conjecture, the Yang-Mills existence and mass gap, Navier-Stokes existence and smoothness, and the Birch and Swinnerton-Dyer conjecture. Prizes show the public that mathematics is far from a closed book, that it is not "all out there simply to be picked up from books or from the Web." They make the public aware of the existence of important unsolved problems and hence of the need for public support and encouragement. In its selection of prize problems, with their thrust away from applications, the Clay Institute emphasizes that mathematics has been the Queen, and not merely the handmaiden, of the sciences-and that it ought to remain so. www.siam.org /siamnews/10-00/solution.htm   (2547 words)

Scholz Conjecture Millennium Prize Problems The seven problems proposed by the Clay Mathematics Institute: P versus NP; Hodge Conjecture; Poincaré Conjecture; Riemann Hypothesis; Yang-Mills Existence and Mass Gap; Navier-Stokes Existence and Smoothness; Birch and Swinnerton-Dyer Conjecture. The Erdos-Strauss Conjecture The conjecture states that for any integer n > 1 there are integers a, b, and c with 4/n = 1/a + 1/b + 1/c, a > 0, b > 0, c > 0. Proof of the Twin Primes Conjecture Goldbach's Conjecture proves and extends the Twin Primes Conjecture as probable. www.serebella.com /encyclopedia/article-Scholz_Conjecture.html   (250 words)

Open Directory - Science: Math: Research: Open Problems - The seven problems proposed by the Clay Mathematics Institute: P versus NP; Hodge Conjecture; Poincaré Conjecture; Riemann Hypothesis; Yang-Mills Existence and Mass Gap; Navier-Stokes Existence and Smoothness; Birch and Swinnerton-Dyer Conjecture. Open Directory - Science: Math: Research: Open Problems dmoz.org /Science/Math/Research/Open_Problems   (141 words)

One Million Bucks for a 100% Solution These "Millennium Prize Problems," selected by a blue ribbon committee, are the P versus NP problem, the Riemann hypothesis, the Hodge conjecture, the Poincaré conjecture, the Yang-Mills existence and mass gap, Navier-Stokes existence and smoothness, and the Birch and Swinnerton-Dyer conjecture. Several months ago the world of research mathematicians was electrified by the announcement that the Clay Mathematics Institute, a private organization, had established a $7 million prize fund, $1 million each for the solution of seven famous mathematical problems. These highly specialized problems are not easily explained to a general readership, although in its publicity release the Clay Institute took a stab at it. www.siam.org /siamnews/10-00/solution.htm   (2547 words)

Science Math Research Open Problems Directory IndiaPress + The seven problems proposed by the Clay Mathematics Institute: P versus NP; Hodge Conjecture; Poincaré Conjecture; Riemann Hypothesis; Yang+Mills Existence and Mass Gap; Navier+Stokes Existence and Smoothness; Birch and Swinnerton+Dyer Conjecture. Unsolved Problem of the Week Archive - A list of unsolved problems published by MathPro Press during 1995. Mathematical Problems - In various subjects, compiled by Torsten Sillke. www.indiapress.org /directory/Science-Math-Research-Open_Problems.html   (122 words)

Millennium Prize Problems Millennium Prize Problems The seven problems proposed by the Clay Mathematics Institute: P versus NP; Hodge Conjecture; Poincaré Conjecture; Riemann Hypothesis; Yang-Mills Existence and Mass Gap; Navier-Stokes Existence and Smoothness; Birch and Swinnerton-Dyer Conjecture. Millennium I: Our Times Brief essay about the millennium now and the coming millennium. problems gastro problems millennium matrox millennium millennium g450 millennium falcon battlecruiser millennium battlecruiser millennium gold matrox millennium g450 opengl matrox millennium prize pulitzer prize booker prize nobel prize www.serebella.com /encyclopedia/article-Millennium_Prize_Problems.html   (447 words)

Open Directory - Science: Math: Research: Open Problems - The seven problems proposed by the Clay Mathematics Institute: P versus NP; Hodge Conjecture; Poincaré Conjecture; Riemann Hypothesis; Yang-Mills Existence and Mass Gap; Navier-Stokes Existence and Smoothness; Birch and Swinnerton-Dyer Conjecture. Unsolved Mathematics Problems - Compiled by Steven Finch. Unsolved Problem of the Week Archive - A list of unsolved problems published by MathPro Press during 1995. dmoz.org /Science/Math/Research/Open_Problems   (141 words)

Clay Mathematics Institute Atiyah presents the Poincaré Conjecture, the Hodge Conjecture, Quantum Yang-Mills Theory, and the existence/smoothness of solutions to the Navier-Stokes equations. Atiyah's work revolutinized mathematics in the twentieth century by unifying the disciplines of analysis, topology, and geometry. He is a recipient of the Fields Medal, is former Master of Trinity College Cambridge, and is past president of the Royal Society. www.claymath.org /annual_meeting/2000_Millennium_Event/Video   (1248 words)

Infowatch: Current Issue At their May meeting in Paris, The Clay Mathematics Institute of Cambridge, Massachusetts (CMI) named seven "Millennium Prize Problems," including The Poincare Conjecture and the Navier-Stokes Existence and Smoothness problem. The historical background given on Hibert, the German mathematician who formulated 23 classic problems that "have inspired and guided the minds of mathematicians throughout the last century," is an insightful read for scholars of mathematics. The strict rules of competition (for example, a proposed solution must be published in a refereed mathematics journal of worldwide repute and also have general acceptance in the mathematics community two years before being considered for the prize) as well as a statement of purpose are available at the site. www.ncsi.iisc.ernet.in /infowatch/iwjun00.html   (1590 words)

Clay Mathematics Institute Atiyah presents the Poincaré Conjecture, the Hodge Conjecture, Quantum Yang-Mills Theory, and the existence/smoothness of solutions to the Navier-Stokes equations. Sir Michael Atiyah is emeritus at the University of Edinburgh, has been Professor at Oxford, the Institute for Advanced Study at Princeton, and at Cambridge University. Atiyah's work revolutinized mathematics in the twentieth century by unifying the disciplines of analysis, topology, and geometry. www.claymath.org /annual_meeting/2000_Millennium_Event/Video   (1227 words)

Clay Mathematics Institute Atiyah presents the Poincaré Conjecture, the Hodge Conjecture, Quantum Yang-Mills Theory, and the existence/smoothness of solutions to the Navier-Stokes equations. Atiyah's work revolutinized mathematics in the twentieth century by unifying the disciplines of analysis, topology, and geometry. Sir Michael Atiyah is emeritus at the University of Edinburgh, has been Professor at Oxford, the Institute for Advanced Study at Princeton, and at Cambridge University. www.claymath.org /annual_meeting/2000_Millennium_Event/Video/index.php   (1227 words)

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