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Liao Shijun
Liao Shijun (; born September 15, 1963) is a fluid mechanics and applied mathematics expert working in homotopy analysis method The homotopy analysis method (HAM) is a semi-analytical technique to solve nonlinear ordinary/ partial differential equations. The homotopy analysis method employs the concept of the homotopy from topology to generate a convergent series solu ... (HAM), nonlinear waves, nonlinear dynamics, and applied mathematics. He was born in Wuhan, Hubei Province, China. Liao is a professor at Shanghai Jiao Tong University. External linksLiao's homepage {{DEFAULTSORT:Liao, Shijun Academic staff of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Liao (surname)
Liao () is a Chinese surname, most commonly found in Taiwan and Southern China. Statistics show it is among the 100 most common surnames in mainland China; figures from the Ministry of Public Security showed it to be the 61st most common surname, shared by around 4.2 million Chinese citizens. The pinyin romanisation of the Mandarin pronunciation is . Its Cantonese pronunciation is generally transcribed as Liu. Other romanisations of the name include Leo, Leow, Liau, Liaw, Liauw, Leeau, Lio, Liow, Leaw, Leou, Lau, Loh, Liu, Liêu, Liew, Liw and Lew. Notable people surnamed 廖 People with the surname Liao include: * Ashley Liao (born 2001), American actress * Bernice Liu (, born 1979), Canadian actress and former TVB model * Liao Cheng-hao, Minister of Justice of the Republic of China (1996–1998) * Liao Chengzhi (1908–1983), Chinese politician * Liao Chi-chun (1902–1976), Taiwanese oil painter and sculptor * Liao Feng-teh (1951–2008), Taiwanese politician * Gladys Liu, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fluid Mechanics
Fluid mechanics is the branch of physics concerned with the mechanics of fluids ( liquids, gases, and plasmas) and the forces on them. It has applications in a wide range of disciplines, including mechanical, aerospace, civil, chemical and biomedical engineering, geophysics, oceanography, meteorology, astrophysics, and biology. It can be divided into fluid statics, the study of fluids at rest; and fluid dynamics, the study of the effect of forces on fluid motion. It is a branch of continuum mechanics, a subject which models matter without using the information that it is made out of atoms; that is, it models matter from a ''macroscopic'' viewpoint rather than from ''microscopic''. Fluid mechanics, especially fluid dynamics, is an active field of research, typically mathematically complex. Many problems are partly or wholly unsolved and are best addressed by numerical methods, typically using computers. A modern discipline, called computational fluid dynamics (CFD), is dev ... [...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, variational ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Homotopy Analysis Method
The homotopy analysis method (HAM) is a semi-analytical technique to solve nonlinear ordinary/partial differential equations. The homotopy analysis method employs the concept of the homotopy from topology to generate a convergent series solution for nonlinear systems. This is enabled by utilizing a homotopy- Maclaurin series to deal with the nonlinearities in the system. The HAM was first devised in 1992 by Liao Shijun of Shanghai Jiaotong University in his PhD dissertation and further modified in 1997 to introduce a non-zero auxiliary parameter, referred to as the convergence-control parameter, ''c''0, to construct a homotopy on a differential system in general form. The convergence-control parameter is a non-physical variable that provides a simple way to verify and enforce convergence of a solution series. The capability of the HAM to naturally show convergence of the series solution is unusual in analytical and semi-analytic approaches to nonlinear partial differentia ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Non-linear Wave Mechanics
In mathematics and science, a nonlinear system is a system in which the change of the output is not proportional to the change of the input. Nonlinear problems are of interest to engineers, biologists, physicists, mathematicians, and many other scientists because most systems are inherently nonlinear in nature. Nonlinear dynamical systems, describing changes in variables over time, may appear chaotic, unpredictable, or counterintuitive, contrasting with much simpler linear systems. Typically, the behavior of a nonlinear system is described in mathematics by a nonlinear system of equations, which is a set of simultaneous equations in which the unknowns (or the unknown functions in the case of differential equations) appear as variables of a polynomial of degree higher than one or in the argument of a function which is not a polynomial of degree one. In other words, in a nonlinear system of equations, the equation(s) to be solved cannot be written as a linear combination ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nonlinear Dynamics
In mathematics and science, a nonlinear system is a system in which the change of the output is not proportional to the change of the input. Nonlinear problems are of interest to engineers, biologists, physicists, mathematicians, and many other scientists because most systems are inherently nonlinear in nature. Nonlinear dynamical systems, describing changes in variables over time, may appear chaotic, unpredictable, or counterintuitive, contrasting with much simpler linear systems. Typically, the behavior of a nonlinear system is described in mathematics by a nonlinear system of equations, which is a set of simultaneous equations in which the unknowns (or the unknown functions in the case of differential equations) appear as variables of a polynomial of degree higher than one or in the argument of a function which is not a polynomial of degree one. In other words, in a nonlinear system of equations, the equation(s) to be solved cannot be written as a linear combination of the un ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Wuhan
Wuhan (, ; ; ) is the capital of Hubei, Hubei Province in the China, People's Republic of China. It is the largest city in Hubei and the most populous city in Central China, with a population of over eleven million, the List of cities in China by population, ninth-most populous Chinese city and one of the nine National Central City, National Central Cities of China. The name "Wuhan" came from the city's historical origin from the conglomeration of Wuchang District, Wuchang, Hankou District, Hankou, and Hanyang District, Hanyang, which are collectively known as the "Three Towns of Wuhan" (). Wuhan lies in the eastern Jianghan Plain, at the confluence of the Yangtze river and its largest tributary, the Han River (Hubei), Han River, and is known as "Nine Provinces' Thoroughfare" (). Wuhan has historically served as a busy city port for commerce and trading. Other historical events taking place in Wuhan include the Wuchang Uprising of 1911, which led to the end of 2,000 years of d ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hubei Province
Hubei (; ; alternately Hupeh) is a landlocked province of the People's Republic of China, and is part of the Central China region. The name of the province means "north of the lake", referring to its position north of Dongting Lake. The provincial capital, Wuhan, serves as a major transportation hub and the political, cultural, and economic hub of central China. Hubei's name is officially abbreviated to "" (), an ancient name associated with the eastern part of the province since the State of E of the Western Zhou dynasty of –771 BCE; a popular name for Hubei is "" () (suggested by that of the powerful State of Chu, which existed in the area during the Eastern Zhou dynasty of 770 – 256 BCE). Hubei borders the provinces of Henan to the north, Anhui to the east, Jiangxi to the southeast, Hunan to the south, Chongqing to the west, and Shaanxi to the northwest. The high-profile Three Gorges Dam is located at Yichang, in the west of the province. Hubei is the 7th-largest ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Shanghai Jiao Tong University
Shanghai Jiao Tong University (SJTU; ) is a public research university in Shanghai, China. The university is funded by the Ministry of Education of China. The university was established on April 8, 1896 as Nanyang Public School (南洋公學) by an imperial edict. The university is a member of the C9 League, Double First Class University Plan, Project 985, and Project 211. The university underwent a number of reformations and gained its current name in 1959. Shanghai Second Medical University was merged into the university on July 18, 2005. Name The word "Jiao Tong" (), or historically, "Chiao Tung", means transportation or communication. It reflects the university's root — it was founded by the Ministry of Posts and Communications of the late Qing dynasty. Jiao Tong or Chiao Tung could be translated as transport but it also means "extending in all directions". Engineering and managerial sciences are major academic focuses at the various Jiaotong universities, but not ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Academic Staff Of Shanghai Jiao Tong University
An academy (Attic Greek: Ἀκαδήμεια; Koine Greek Ἀκαδημία) is an institution of secondary or tertiary higher learning (and generally also research or honorary membership). The name traces back to Plato's school of philosophy, founded approximately 385 BC at Akademia, a sanctuary of Athena, the goddess of wisdom and skill, north of Athens, Greece. Etymology The word comes from the ''Academy'' in ancient Greece, which derives from the Athenian hero, ''Akademos''. Outside the city walls of Athens, the gymnasium was made famous by Plato as a center of learning. The sacred space, dedicated to the goddess of wisdom, Athena, had formerly been an olive grove, hence the expression "the groves of Academe". In these gardens, the philosopher Plato conversed with followers. Plato developed his sessions into a method of teaching philosophy and in 387 BC, established what is known today as the Old Academy. By extension, ''academia'' has come to mean the accumulation, dev ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Physicists From Hubei
A physicist is a scientist who specializes in the field of physics, which encompasses the interactions of matter and energy at all length and time scales in the physical universe. Physicists generally are interested in the root or ultimate causes of phenomena, and usually frame their understanding in mathematical terms. Physicists work across a wide range of research fields, spanning all length scales: from sub-atomic and particle physics, through biological physics, to cosmological length scales encompassing the universe as a whole. The field generally includes two types of physicists: experimental physicists who specialize in the observation of natural phenomena and the development and analysis of experiments, and theoretical physicists who specialize in mathematical modeling of physical systems to rationalize, explain and predict natural phenomena. Physicists can apply their knowledge towards solving practical problems or to developing new technologies (also known as applied ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1963 Births
Events January * January 1 – Bogle–Chandler case: Commonwealth Scientific and Industrial Research Organisation scientist Dr. Gilbert Bogle and Mrs. Margaret Chandler are found dead (presumed poisoned), in bushland near the Lane Cove River, Sydney, Australia. * January 2 – Vietnam War – Battle of Ap Bac: The Viet Cong win their first major victory. * January 9 – A total penumbral lunar eclipse is visible in the Americas, Europe, Africa, and Asia, and is the 56th lunar eclipse of Lunar Saros 114. Gamma has a value of −1.01282. It occurs on the night between Wednesday, January 9 and Thursday, January 10, 1963. * January 13 – 1963 Togolese coup d'état: A military coup in Togo results in the installation of coup leader Emmanuel Bodjollé as president. * January 17 – A last quarter moon occurs between the penumbral lunar eclipse and the annular solar eclipse, only 12 hours, 29 minutes after apogee. * January 19 – Soviet spy Ghe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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