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James Thomas Beale
James Thomas (J. Thomas "Tom") Beale (born 1947) is an American mathematician, specializing in fluid dynamics, partial differential equations, and numerical analysis. J. Thomas Beale grew up in Savannah, Georgia. In 1967 he graduated from California Institute of Technology (Caltech) with a B.S. in mathematics. In 1973 he received his PhD in mathematics from Stanford University. His PhD thesis ''Purely imaginary scattering frequencies for exterior domains''. was written under the supervision of Ralph S. Phillips. Soon after receiving his PhD Beale became a faculty member at Tulane University. In 1983 he resigned from Tulane University and became a professor at Duke University, where he retired as professor emeritus in 2016. In 1994 Beale was an invited speaker with talk ''Analytical and numerical aspects of fluid interfaces'' at the International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. ...
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Fluid Dynamics
In physics and engineering, fluid dynamics is a subdiscipline of fluid mechanics that describes the flow of fluids— liquids and gases. It has several subdisciplines, including ''aerodynamics'' (the study of air and other gases in motion) and hydrodynamics (the study of liquids in motion). Fluid dynamics has a wide range of applications, including calculating forces and moments on aircraft, determining the mass flow rate of petroleum through pipelines, predicting weather patterns, understanding nebulae in interstellar space and modelling fission weapon detonation. Fluid dynamics offers a systematic structure—which underlies these practical disciplines—that embraces empirical and semi-empirical laws derived from flow measurement and used to solve practical problems. The solution to a fluid dynamics problem typically involves the calculation of various properties of the fluid, such as flow velocity, pressure, density, and temperature, as functions of space and time. ...
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Strang Splitting
Strang splitting is a numerical method for solving differential equations that are decomposable into a sum of differential operators. It is named after Gilbert Strang. It is used to speed up calculation for problems involving operators on very different time scales, for example, chemical reactions in fluid dynamics, and to solve multidimensional partial differential equations by reducing them to a sum of one-dimensional problems. Fractional step methods As a precursor to Strang splitting, consider a differential equation of the form : \frac = L_1 () + L_2 () where L_1, L_2 are differential operators. If L_1 and L_2 were constant coefficient matrices, then the exact solution to the associated initial value problem would be : y(t) = e^ y_0. If L_1 and L_2 commute, then by the exponential laws this is equivalent to : y(t) = e^ e^ y_0. If they do not, then by the Baker–Campbell–Hausdorff formula it is still possible to replace the exponential of the sum by a product of ...
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Fluid Dynamicists
In physics, a fluid is a liquid, gas, or other material that continuously deforms (''flows'') under an applied shear stress, or external force. They have zero shear modulus, or, in simpler terms, are substances which cannot resist any shear force applied to them. Although the term ''fluid'' generally includes both the liquid and gas phases, its definition varies among branches of science. Definitions of ''solid'' vary as well, and depending on field, some substances can be both fluid and solid. Viscoelastic fluids like Silly Putty appear to behave similar to a solid when a sudden force is applied. Substances with a very high viscosity such as pitch appear to behave like a solid (see pitch drop experiment) as well. In particle physics, the concept is extended to include fluidic matters other than liquids or gases. A fluid in medicine or biology refers any liquid constituent of the body (body fluid), whereas "liquid" is not used in this sense. Sometimes liquids given for fluid ...
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Duke University Faculty
Duke is a male title either of a monarch ruling over a duchy, or of a member of royalty, or nobility. As rulers, dukes are ranked below emperors, kings, grand princes, grand dukes, and sovereign princes. As royalty or nobility, they are ranked below princess nobility and grand dukes. The title comes from French ''duc'', itself from the Latin ''dux'', 'leader', a term used in republican Rome to refer to a military commander without an official rank (particularly one of Germanic or Celtic origin), and later coming to mean the leading military commander of a province. In most countries, the word ''duchess'' is the female equivalent. Following the reforms of the emperor Diocletian (which separated the civilian and military administrations of the Roman provinces), a ''dux'' became the military commander in each province. The title ''dux'', Hellenised to ''doux'', survived in the Eastern Roman Empire where it continued in several contexts, signifying a rank equivalent to a captain ...
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Tulane University Faculty
Tulane University, officially the Tulane University of Louisiana, is a private research university in New Orleans, Louisiana. Founded as the Medical College of Louisiana in 1834 by seven young medical doctors, it turned into a comprehensive public university as the University of Louisiana by the state legislature in 1847. The institution became private under the endowments of Paul Tulane and Josephine Louise Newcomb in 1884 and 1887. Tulane is the 9th oldest private university in the Association of American Universities. The Tulane University Law School and Tulane University Medical School are, respectively, the 12th oldest law school and 15th oldest medical school in the United States. Tulane has been a member of the Association of American Universities since 1958 and is classified among "R1: Doctoral Universities – Very high research activity". Tulane has an overall acceptance rate of 8.4%. Alumni include twelve governors of Louisiana; one Chief Justice of the United St ...
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Stanford University Alumni
Stanford University, officially Leland Stanford Junior University, is a private research university in Stanford, California. The campus occupies , among the largest in the United States, and enrolls over 17,000 students. Stanford is considered among the most prestigious universities in the world. Stanford was founded in 1885 by Leland and Jane Stanford in memory of their only child, Leland Stanford Jr., who had died of typhoid fever at age 15 the previous year. Leland Stanford was a U.S. senator and former governor of California who made his fortune as a railroad tycoon. The school admitted its first students on October 1, 1891, as a coeducational and non-denominational institution. Stanford University struggled financially after the death of Leland Stanford in 1893 and again after much of the campus was damaged by the 1906 San Francisco earthquake. Following World War II, provost of Stanford Frederick Terman inspired and supported faculty and graduates' entrepreneuriali ...
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California Institute Of Technology Alumni
California is a state in the Western United States, located along the Pacific Coast. With nearly 39.2million residents across a total area of approximately , it is the most populous U.S. state and the 3rd largest by area. It is also the most populated subnational entity in North America and the 34th most populous in the world. The Greater Los Angeles area and the San Francisco Bay Area are the nation's second and fifth most populous urban regions respectively, with the former having more than 18.7million residents and the latter having over 9.6million. Sacramento is the state's capital, while Los Angeles is the most populous city in the state and the second most populous city in the country. San Francisco is the second most densely populated major city in the country. Los Angeles County is the country's most populous, while San Bernardino County is the largest county by area in the country. California borders Oregon to the north, Nevada and Arizona to the east, the Me ...
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21st-century American Mathematicians
The 1st century was the century spanning AD 1 ( I) through AD 100 ( C) according to the Julian calendar. It is often written as the or to distinguish it from the 1st century BC (or BCE) which preceded it. The 1st century is considered part of the Classical era, epoch, or historical period. The 1st century also saw the appearance of Christianity. During this period, Europe, North Africa and the Near East fell under increasing domination by the Roman Empire, which continued expanding, most notably conquering Britain under the emperor Claudius ( AD 43). The reforms introduced by Augustus during his long reign stabilized the empire after the turmoil of the previous century's civil wars. Later in the century the Julio-Claudian dynasty, which had been founded by Augustus, came to an end with the suicide of Nero in AD 68. There followed the famous Year of Four Emperors, a brief period of civil war and instability, which was finally brought to an end by Vespasian, ninth Roman empero ...
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Living People
Related categories * :Year of birth missing (living people) / :Year of birth unknown * :Date of birth missing (living people) / :Date of birth unknown * :Place of birth missing (living people) / :Place of birth unknown * :Year of death missing / :Year of death unknown * :Date of death missing / :Date of death unknown * :Place of death missing / :Place of death unknown * :Missing middle or first names See also * :Dead people * :Template:L, which generates this category or death years, and birth year and sort keys. : {{DEFAULTSORT:Living people 21st-century people People by status ...
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James Eugene Broadwell
James Eugene "Gene" Broadwell (January 15, 1921, Atlanta, Georgia – June 22, 2018, Palo Alto, California) was an American aeronautical engineer, known for the Broadwell model (1964, ''Physics of Fluids''). The model consists of a set of differential equations, describing the structure of a shock wave in a simple discrete velocity gas. Biography Broadwell graduated in 1942 from Georgia Institute of Technology (Georgia Tech) with a B.S. in mechanical engineering. He served from 1942 to 1946 in the United States Army Air Force. During his military service, he was stationed at Wright Field in Dayton, Ohio, except when he was sent for additional training to California Institute of Technology (Caltech), where he received in 1944 an M.S. in aeronautical engineering. During his service at Wright Field, he worked on the design and development of aircraft engines. In October 1943 in Dayton, he married Edith "Edie" Merriman (1923–2018). Their marriage took place a few days before he was po ...
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