Tai-Ping Liu (; born 18 November 1945) is a Taiwanese mathematician specializing in

partial differential equation In mathematics, a partial differential equation (PDE) is an equation which involves a multivariable function and one or more of its partial derivatives. The function is often thought of as an "unknown" that solves the equation, similar to ho ...

Education and career

Liu earned his bachelor's degree in mathematics in 1968 from

National Taiwan University National Taiwan University (NTU; zh, t=國立臺灣大學, poj=Kok-li̍p Tâi-oân Tāi-ha̍k, p=, s=) is a National university, national Public university, public research university in Taipei, Taiwan. Founded in 1928 during Taiwan under J ...

, his master's degree in 1970 from

Oregon State University Oregon State University (OSU) is a Public university, public Land-grant university, land-grant research university in Corvallis, Oregon, United States. OSU offers more than 200 undergraduate degree programs and a variety of graduate and doctor ...

, and his Ph.D. in 1973 from

University of Michigan The University of Michigan (U-M, U of M, or Michigan) is a public university, public research university in Ann Arbor, Michigan, United States. Founded in 1817, it is the oldest institution of higher education in the state. The University of Mi ...

. His dissertation, supervised by

Joel Smoller Joel Alan Smoller (2 January 1936 – 27 September 2017) was an American mathematician. Joel Smoller was born in Brooklyn on 2 January 1936 to parents Benjamin, a taxicab driver, and Olga, who died when he was young. Smoller attended New York Univ ...

, was titled, "

Riemann problem A Riemann problem, named after Bernhard Riemann, is a specific initial value problem composed of a conservation equation together with piecewise constant initial data which has a single discontinuity in the domain of interest. The Riemann prob ...

for general 2 × 2 systems of conservation laws". After receiving his doctorate, Liu was a professor at

University of Maryland The University of Maryland, College Park (University of Maryland, UMD, or simply Maryland) is a public land-grant research university in College Park, Maryland, United States. Founded in 1856, UMD is the flagship institution of the Univ ...

, from 1988 at

New York University New York University (NYU) is a private university, private research university in New York City, New York, United States. Chartered in 1831 by the New York State Legislature, NYU was founded in 1832 by Albert Gallatin as a Nondenominational ...

and from 1990 at

Stanford University Leland Stanford Junior University, commonly referred to as Stanford University, is a Private university, private research university in Stanford, California, United States. It was founded in 1885 by railroad magnate Leland Stanford (the eighth ...

, where he is now retired. Since 2000 he has been a Distinguished Research Fellow at the Academia Sinica. He was elected a Fellow of the

American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...

in 2012. His research deals with nonlinear partial differential equations, hyperbolic conservation laws,

shock wave In physics, a shock wave (also spelled shockwave), or shock, is a type of propagating disturbance that moves faster than the local speed of sound in the medium. Like an ordinary wave, a shock wave carries energy and can propagate through a me ...

s, the

Boltzmann equation The Boltzmann equation or Boltzmann transport equation (BTE) describes the statistical behaviour of a thermodynamic system not in a state of equilibrium; it was devised by Ludwig Boltzmann in 1872.Encyclopaedia of Physics (2nd Edition), R. G ...

, and equations of gas dynamics. He is the author or coauthor of over 140 research publications. In 1998 he gave the DiPerna lecture. In 1992 Liu became a member of

Academia Sinica Academia Sinica (AS, ; zh, t=中央研究院) is the national academy of the Taiwan, Republic of China. It is headquartered in Nangang District, Taipei, Nangang, Taipei. Founded in Nanjing, the academy supports research activities in mathemat ...

. In 2002 he was an Invited Speaker with talk ''Shock Waves'' at the International Congress of Mathematicians in Beijing.arXiv preprint
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Selected publications

* ''Hyperbolic and viscous conservation laws'', CBMS Regional Conference, SIAM 2000

Memoirs AMS, No. 240, 1981. * ''Nonlinear stability of shock waves for viscous conservation laws'', Memoirs AMS, No. 328, 1985 * with Y. Zeng: ''Large-time Behavior of Solutions of General Quasilinear Hyperbolic-Parabolic Systems of Conservation Laws'', Memoirs AMS, No. 599, 1997 * as editor with Heinrich Freistühler and Anders Szepessy: ''Advances in the theory of shock waves'', Birkhäuser 2001

References

External links

website at Academia Sinica
* * Workshop on Kinetic Theory and Fluid Dynamics, Seoul National University, October 2009 ** ** ** {{DEFAULTSORT:Liu, Taiping 20th-century Taiwanese mathematicians 21st-century Taiwanese mathematicians National Taiwan University alumni Oregon State University alumni University of Michigan alumni University of Maryland, College Park faculty New York University faculty Stanford University faculty Members of Academia Sinica Fellows of the American Mathematical Society 1945 births Living people