Shijun Liao
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Shijun Liao
Liao Shijun (; born September 15, 1963) is a fluid mechanics and applied mathematics expert working in homotopy analysis method (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 Shanghai Jiao Tong University (SJTU) is a public university in Shanghai, China. It is affiliated with the Ministry of Education of the People's Republic of China, Ministry of Education of China. The university is part of Project 211, Project 98 .... External linksLiao's homepageAdvances in the Homotopy Analysis Method
Academic staff of Shanghai Jiao Tong University
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Liao (surname)
Liao () is a Chinese surname, most commonly found in Taiwan and Southern China. Statistics show it is among the List_of_common_Chinese_surnames, 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 Chinese, Mandarin pronunciation is . Its Standard Cantonese, Cantonese pronunciation is generally transcribed as Liew. 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 * Gladys Liu, Hong Kong-born Australian politician * Leslie Liao, American comedian * Liao Cheng-hao, Minister of Ministry of Justice (Taiwan), Justice of the Republic of China (1996–1998) ...
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Fluid Mechanics
Fluid mechanics is the branch of physics concerned with the mechanics of fluids (liquids, gases, and plasma (physics), plasmas) and the forces on them. Originally applied to water (hydromechanics), it found applications in a wide range of disciplines, including mechanical engineering, mechanical, aerospace engineering, aerospace, civil engineering, civil, chemical engineering, chemical, and biomedical engineering, as well as geophysics, oceanography, meteorology, astrophysics, and biology. It can be divided into ''fluid statics'', the study of various 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 a ...
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Applied Mathematics
Applied mathematics is the application of mathematics, mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and Industrial sector, industry. Thus, applied mathematics is a combination of mathematical science and specialized knowledge. The term "applied mathematics" also describes the profession, 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 Mathematical analysis, applied analysis, most notably differential equations; approximation theory (broadly construed, ...
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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 differential ...
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Non-linear Wave Mechanics
In mathematics and science, a nonlinear system (or a non-linear 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 since 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 linea ...
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Wuhan
Wuhan; is the capital of Hubei, China. With a population of over eleven million, it is the most populous city in Hubei and the List of cities in China by population, eighth-most-populous city in China. It is also one of the nine National central city, national central cities and the second most livable city in China. Wuhan historically served as a busy city port for commerce and trading with some crucial influences on Chinese history. The name "Wuhan" came from the city's historical origin from the conglomeration of Wuchang, Wuhan, Wuchang, Hankou District, Hankou, and Hanyang District, Hanyang, which are collectively known as the "Three Towns of Wuhan" ( zh, s=武汉三镇, labels=no). 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" ( zh, labels=no, t= ). Wuhan was the site of the 1911 Wuchang Uprising against the Qing dynasty which Dyna ...
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Hubei Province
Hubei is a province in Central China. It has the seventh-largest economy among Chinese provinces, the second-largest within Central China, and the third-largest among inland provinces. Its provincial capital at Wuhan serves as a major political, cultural, and economic hub for the region. Hubei is associated with the historical state of E that existed during the Western Zhou dynasty (771 BCE). Its name means 'north of the lake', referring to Dongting Lake. It borders Henan to the north, Anhui and Jiangxi to the east, Hunan to the south, and Chongqing and Shaanxi to the west. The high-profile Three Gorges Dam is located at Yichang in the west of the province. History The Hubei region was home to sophisticated Neolithic cultures. By the Spring and Autumn period (770–476 BC), the territory of today's Hubei formed part of the powerful State of Chu. Chu, nominally a tributary state of the Zhou dynasty, was itself an extension of the Chinese civilization that had emerg ...
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Shanghai Jiao Tong University
Shanghai Jiao Tong University (SJTU) is a public university in Shanghai, China. It is affiliated with the Ministry of Education of the People's Republic of China, Ministry of Education of China. The university is part of Project 211, Project 985, and the Double First-Class Construction. It is a member of the C9 League. SJTU was founded as Nanyang Public School in 1896. It was merged into Jiao Tong University in 1921, before gaining its current name in 1959. The university currently has 33 schools, 12 affiliated hospitals, 2 affiliated medical research institutes, 23 directly affiliated units, and 5 directly affiliated enterprises. History Public school to industrial school Nanyang Public School was founded in 1896, making it one of the earliest universities in China. Sheng Xuanhuai requested the Qing government open the school in October. The proposal was approved by the Guangxu Emperor in December, and Sheng became the school's first president. As a member of Westernizat ...
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Academic Staff Of Shanghai Jiao Tong University
An academy (Attic Greek: Ἀκαδήμεια; Koine Greek Ἀκαδημία) is an institution of tertiary education. The name traces back to Plato's school of philosophy, founded approximately 386 BC at Akademia, a sanctuary of Athena, the goddess of wisdom and Skills, skill, north of Ancient Athens, Athens, Greece. The Royal Spanish Academy defines academy as scientific, literary or artistic society established with public authority and as a teaching establishment, public or private, of a professional, artistic, technical or simply practical nature. 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 (ancient Greece), 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 (nature), grove, hence the expression "the groves of Academe". In these gardens, the philos ...
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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. They 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 ph ...
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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 January 1963 lunar eclipse, 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 January 1963 lunar eclipse, penumbral lunar eclipse and the Solar eclipse of January 25, 1963, annular solar ...
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