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Roger Meyer Temam
Roger Meyer Temam (born 19 May 1940) is a French applied mathematician working in numerical analysis, nonlinear partial differential equations and fluid mechanics. He graduated from the University of Paris – the Sorbonne in 1967, completing a doctorate () under the direction of Jacques-Louis Lions. He has published over 400 articles, as well as 12 (authored or co-authored) books. Scientific work The first work of Temam in his thesis dealt with the fractional steps method. Thereafter, "he has continually explored and developed new directions and techniques": * calculus of variations, and the notion of duality, developing the mathematical framework for discontinuous (in displacement) solutions; a concept later used for his works on the mathematical theory of plasticity; * mathematical formulation of the equilibrium of a plasma in a cavity, expressed as a nonlinear free boundary problem; * Korteweg–de Vries equation; * Kuramoto–Sivashinsky equation; * Euler equations in a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Applied Mathematics
Applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and industry. Thus, applied mathematics is a combination of mathematical science and specialized knowledge. The term "applied mathematics" also describes the professional specialty in which mathematicians work on practical problems by formulating and studying mathematical models. In the past, practical applications have motivated the development of mathematical theories, which then became the subject of study in pure mathematics where abstract concepts are studied for their own sake. The activity of applied mathematics is thus intimately connected with research in pure mathematics. History Historically, applied mathematics consisted principally of applied analysis, most notably differential equations; approximation theory (broadly construed, to include representations, asymptotic methods, variation ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kuramoto–Sivashinsky Equation
In mathematics, the Kuramoto–Sivashinsky equation (also called the KS equation or flame equation) is a fourth-order nonlinear partial differential equation. It is named after Yoshiki Kuramoto and Gregory Sivashinsky, who derived the equation in the late 1970s to model the diffusive–thermal instabilities in a laminar flame front. The Kuramoto–Sivashinsky equation is known for its chaotic behavior. Definition The 1d version of the Kuramoto–Sivashinsky equation is :u_t + u_ + u_ + \fracu_x^2 = 0 An alternate form is :v_t + v_ + v_ + v v_x = 0 obtained by differentiating with respect to x and substituting v = u_x. This is the form used in fluid dynamics applications. The Kuramoto–Sivashinsky equation can also be generalized to higher dimensions. In spatially periodic domains, one possibility is :u_t + \Delta u + \Delta^2 u + \frac , \nabla u, ^2 = 0, where \Delta is the Laplace operator, and \Delta^2 is the biharmonic operator. Properties The Cauchy problem for the 1d K ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Notices Of The American Mathematical Society
''Notices of the American Mathematical Society'' is the membership journal of the American Mathematical Society (AMS), published monthly except for the combined June/July issue. The first volume appeared in 1953. Each issue of the magazine since January 1995 is available in its entirety on the journal web site. Articles are peer-reviewed by an editorial board of mathematical experts. Since 2019, the editor-in-chief is Erica Flapan. The cover regularly features mathematical visualizations. The ''Notices'' is self-described to be the world's most widely read mathematical journal. As the membership journal of the American Mathematical Society, the ''Notices'' is sent to the approximately 30,000 AMS members worldwide, one-third of whom reside outside the United States. By publishing high-level exposition, the ''Notices'' provides opportunities for mathematicians to find out what is going on in the field. Each issue contains one or two such expository articles that describe current d ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
North Dakota State University
North Dakota State University (NDSU, formally North Dakota State University of Agriculture and Applied Sciences) is a public university, public Land-grant university, land-grant research university in Fargo, North Dakota. It was founded as North Dakota Agricultural College in 1890 as the state's land-grant university. As of 2021, NDSU offers 94 undergraduate majors, 146 undergraduate degree programs, 5 undergraduate certificate programs, 84 undergraduate minors, 87 master's degree programs, 51 doctoral degree programs of study, and 210 graduate certificate programs. NDSU is part of the North Dakota University System. The university also operates North Dakota's agricultural research extension centers distributed across the state on 18,488 acres (75 km2). In 2015, NDSU's economic impact on the state and region was estimated to be $1.3 billion a year according to the NDUS Systemwide Economic Study by the School of Economics at North Dakota State University. In 2016, it was also ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics Genealogy Project
The Mathematics Genealogy Project (MGP) is a web-based database for the academic genealogy of mathematicians.. By 31 December 2021, it contained information on 274,575 mathematical scientists who contributed to research-level mathematics. For a typical mathematician, the project entry includes graduation year, thesis title (in its Mathematics Subject Classification), '' alma mater'', doctoral advisor, and doctoral students.. Origin of the database The project grew out of founder Harry Coonce's desire to know the name of his advisor's advisor.. Coonce was Professor of Mathematics at Minnesota State University, Mankato, at the time of the project's founding, and the project went online there in fall 1997.Mulcahy, Colm;The Mathematics Genealogy Project Comes of Age at Twenty-one(PDF) AMS Notices (May 2017) Coonce retired from Mankato in 1999, and in fall 2002 the university decided that it would no longer support the project. The project relocated at that time to North Dakota State ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Geophysical Fluid Dynamics
Geophysical fluid dynamics, in its broadest meaning, refers to the fluid dynamics of naturally occurring flows, such as lava flows, oceans, and planetary atmospheres, on Earth and other planets. Two physical features that are common to many of the phenomena studied in geophysical fluid dynamics are rotation of the fluid due to the planetary rotation and stratification (layering). The applications of geophysical fluid dynamics do not generally include the circulation of the mantle, which is the subject of geodynamics, or fluid phenomena in the magnetosphere. Fundamentals To describe the flow of geophysical fluids, equations are needed for conservation of momentum (or Newton's second law) and conservation of energy. The former leads to the Navier–Stokes equations which cannot be solved analytically (yet). Therefore, further approximations are generally made in order to be able to solve these equations. First, the fluid is assumed to be incompressible. Remarkably, this works w ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Boundary Layer
In physics and fluid mechanics, a boundary layer is the thin layer of fluid in the immediate vicinity of a bounding surface formed by the fluid flowing along the surface. The fluid's interaction with the wall induces a no-slip boundary condition (zero velocity at the wall). The flow velocity then monotonically increases above the surface until it returns to the bulk flow velocity. The thin layer consisting of fluid whose velocity has not yet returned to the bulk flow velocity is called the velocity boundary layer. The air next to a human is heated resulting in gravity-induced convective airflow, airflow which results in both a velocity and thermal boundary layer. A breeze disrupts the boundary layer, and hair and clothing protect it, making the human feel cooler or warmer. On an aircraft wing, the velocity boundary layer is the part of the flow close to the wing, where viscous forces distort the surrounding non-viscous flow. In the Earth's atmosphere, the atmospheric b ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Optimal Control
Optimal control theory is a branch of mathematical optimization that deals with finding a control for a dynamical system over a period of time such that an objective function is optimized. It has numerous applications in science, engineering and operations research. For example, the dynamical system might be a spacecraft with controls corresponding to rocket thrusters, and the objective might be to reach the moon with minimum fuel expenditure. Or the dynamical system could be a nation's economy, with the objective to minimize unemployment; the controls in this case could be fiscal and monetary policy. A dynamical system may also be introduced to embed operations research problems within the framework of optimal control theory. Optimal control is an extension of the calculus of variations, and is a mathematical optimization method for deriving control policies. The method is largely due to the work of Lev Pontryagin and Richard Bellman in the 1950s, after contributions to ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ciprian Foias
Ciprian Ilie Foiaș (20 July 1933 – 22 March 2020) was a Romanian-American mathematician. He was awarded the Norbert Wiener Prize in Applied Mathematics in 1995, for his contributions in operator theory. Education and career Born in Reșița, Romania, Foias studied mathematics at the University of Bucharest. He completed his dissertation in 1957, but was not allowed to defend his thesis by the Communist government until 1962. He received his doctorate in 1962 under supervision of Miron Nicolescu. Foias defected to France following his lecture at the International Congress of Mathematicians in 1978. He later emigrated to the United States. Foias taught at his alma mater (1966–1979), Paris-Sud 11 University (1979–1983), and Indiana University (1983 until retirement). Beginning in 2000, he was a teacher and researcher at Texas A&M University, where he was a Distinguished Professor. The Foias constant is named after him. Foias is listed as an ISI highly cited researcher. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alp Eden
Osman Alp Eden (born 1958) is a Turkish mathematician, scientist and professor of mathematics. He is a retired member of the Boğaziçi University Mathematics Department in İstanbul, Turkey. Education Alp Eden was born in İstanbul in 1958. He finished the high school Robert College of Istanbul in 1976. He graduated from Boğaziçi University Civil Engineering and Mathematics departments in 1981. He received his PhD in Mathematics under the supervision of Ciprian Ilie Foiaș at the Indiana University Bloomington in the United States in 1989. Academic career He worked in Arizona State University between 1989-1992. Then he became a full time member of the Department of Mathematics, at Boğaziçi University, Istanbul. In years he served as the chair of the department and the vice-dean of the Faculty of Arts and Sciences. He retired in 2015 and moved to Izmir. He is one of the founders of the Masters program in Financial Engineering at Boğaziçi University. Between 2006-2016 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
George R
George may refer to: People * George (given name) * George (surname) * George (singer), American-Canadian singer George Nozuka, known by the mononym George * George Washington, First President of the United States * George W. Bush, 43rd President of the United States * George H. W. Bush, 41st President of the United States * George V, King of Great Britain, Ireland, the British Dominions and Emperor of India from 1910-1936 * George VI, King of Great Britain, Ireland, the British Dominions and Emperor of India from 1936-1952 * Prince George of Wales * George Papagheorghe also known as Jorge / GEØRGE * George, stage name of Giorgio Moroder * George Harrison, an English musician and singer-songwriter Places South Africa * George, Western Cape ** George Airport United States * George, Iowa * George, Missouri * George, Washington * George County, Mississippi * George Air Force Base, a former U.S. Air Force base located in California Characters * George (Peppa Pig), ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
