Tong Yang () is a Chinese mathematician known for his contributions to the field of partial differential equations and kinetic theory. He has been serving as a Chair Professor of Mathematical Science in the Department of Applied Mathematics at

The Hong Kong Polytechnic University The Hong Kong Polytechnic University (PolyU or HKPU) is a public university, public research university in Hung Hom, Kowloon, Hong Kong. The university is one of the eight University Grants Committee (Hong Kong), government-funded degree-grant ...

(PolyU) since 2020. Previously, he held the position of President of The Hong Kong Mathematical Society from 2016 to 2020 in 2016-2020.

Education

Yang completed his Ph.D. in 1993 at the

University of California, Davis The University of California, Davis (UC Davis, UCD, or Davis) is a Public university, public Land-grant university, land-grant research university in Davis, California, United States. It is the northernmost of the ten campuses of the University ...

in USA, after earning his bachelor's and master's degrees from

Zhongshan University Sun Yat-sen University (; SYSU) is a public university in Guangzhou, Guangdong, China. It is affiliated with the Ministry of Education, and co-funded by the Ministry of Education, SASTIND, and Guangdong Provincial Government. The university is p ...

in 1987 and 1990, respectively.

Research

Yang's research focuses on

partial differential equations 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 how ...

and kinetic theory. In collaboration with Tai-Ping Liu, he introduced the Liu-Yang functional, which is used to evaluate the stability of BV solutions in systems of hyperbolic

conservation laws In physics, a conservation law states that a particular measurable property of an isolated physical system does not change as the system evolves over time. Exact conservation laws include conservation of mass-energy, conservation of linear momen ...

. This work addressed significant challenges in the well-posedness theory for conservation laws and has applications in various fields. Additionally, Yang and his collaborators developed a new macro-micro decomposition for 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 ...

to study its fluid phenomena, facilitating the application of analytical techniques used in conservation laws.

Awards

Yang has been recognized as one of the World's Top 2% most-cited scientists by Stanford University from 2020 to 2024. He received the Morningside Silver Medal of Mathematics "for his contributions to the well-posedness theory for hyperbolic conservation laws". In 2011/12, he was awarded The Croucher Senior Research Fellowship for his work on mathematical theories related to the Boltzmann equation He also received the second-class award of 2012

State Natural Science Award The State Science and Technology Prizes () are the highest honors conferred by the national government of the People's Republic of China in science and technology, in order to recognize citizens and organizations who have made remarkable contribut ...

in China for his project on "conversation laws and the Boltzmann equation" In 2019, Yang earned the first-class award in Natural Sciences of the Higher Education Outstanding Scientific Research Output Award (Science and Technology) by the Ministry of Education of China for his joint work on well-posedness of the Prandtl equation in Sobolev spaces. He received another another first-class award in 2022 for his work on mathematical theory of compressible Navier-Stokes equations and related models. In 2020/2021, he was awarded the RGC Senior Research Fellowship by the University Grants Committee for his project "Some Mathematical Theories for Kinetic Systems". Yang has been elected to various prestigious memberships and fellowships. In 2018, he became a Foreign Fellow of the European Academy of Sciences for his contributions to science and technology. He was named 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, ...

for his work on hyperbolic conservation laws and kinetic equations. In 2021, he was elected as a member of the World Academy of Sciences for his fundamental contributions to hyperbolic conservation laws, kinetic theories, boundary layer theories, and high Reynolds number limit. He became a member of Academia Europaea in 2022

References

Chinese mathematicians Academia Europaea Members of the European Academy of Sciences and Arts {{DEFAULTSORT:Yang, Tong Year of birth missing (living people) Living people University of California, Davis alumni