Tai-Ping Liu (; born 18 November 1945) is a Taiwanese mathematician, specializing in partial differential equations. Liu received his bachelor's degree in mathematics in 1968 from

National Taiwan University National Taiwan University (NTU; ) is a public research university in Taipei, Taiwan. The university was founded in 1928 during Japanese rule as the seventh of the Imperial Universities. It was named Taihoku Imperial University and served d ...

, his master's degree in 1970 from

Oregon State University Oregon State University (OSU) is a public land-grant, research university in Corvallis, Oregon. OSU offers more than 200 undergraduate-degree programs along with a variety of graduate and doctoral degrees. It has the 10th largest engineering c ...

, and his PhD in 1973 from

University of Michigan , mottoeng = "Arts, Knowledge, Truth" , former_names = Catholepistemiad, or University of Michigania (1817–1821) , budget = $10.3 billion (2021) , endowment = $17 billion (2021)As o ...

with thesis advisor Joel Smoller and thesis ''

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 problem ...

for general 2 × 2 systems of conservation laws''. Afterwards 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. Founded in 1856, UMD is the flagship institution of the University System of M ...

, from 1988 at

New York University New York University (NYU) is a private research university in New York City. Chartered in 1831 by the New York State Legislature, NYU was founded by a group of New Yorkers led by then- Secretary of the Treasury Albert Gallatin. In 1832, th ...

and from 1990 at Stanford University, 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, devised by Ludwig Boltzmann in 1872.Encyclopaedia of Physics (2nd Edition), R. G. Lerne ...

, 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. 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