astronomy

Tai-Ping Liu

Tai-Ping Liu is a astronomy topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Tai-Ping Liu rather than just read about it. In short: Tai-Ping Liu (Chinese: 劉太平; pinyin: Liú Tàipíng; born 18 November 1945) is a Taiwanese mathematician specializing in partial differential equations. Education and career Liu earned his bachelor's degree in mathematics in 1968 from National Taiwan University, his master's degree in 1970 from Oregon State University, and his Ph.D. in 1973 from University of Michigan.

Key takeaways

Tai-Ping Liu belongs to astronomy; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Tai-Ping Liu to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Tai-Ping Liu from memory before moving on to harder problems.

Reference excerpt

Tai-Ping Liu (Chinese: 劉太平; pinyin: Liú Tàipíng; born 18 November 1945) is a Taiwanese mathematician specializing in partial differential equations.

Education and career Liu earned his bachelor's degree in mathematics in 1968 from National Taiwan University, his master's degree in 1970 from Oregon State University, and his Ph.D. in 1973 from University of Michigan. His dissertation, supervised by Joel Smoller, was titled, "Riemann problem for general 2 × 2 systems of conservation laws". After receiving his doctorate, Liu was a professor at University of Maryland, from 1988 at New York University 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 in 2012. His research deals with nonlinear partial differential equations, hyperbolic conservation laws, shock waves, the Boltzmann equation, 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.

Selected publications Hyperbolic and viscous conservation laws, CBMS Regional Conference, SIAM 2000 doi:10.1137/1.9780898719420 Admissible solutions of hyperbolic conservation laws, 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 Leong, Y. K. (January 2015). "Interview with Tai-Ping Liu" (PDF). Asia Pacific Mathematics Newsletter. 5 (1): 22–28. Workshop on Kinetic Theory and Fluid Dynamics, Seoul National University, October 2009 "Tai-Ping Liu (Stanford uni.) / Qualitative Study of the Boltzmann Equation / 2009-10-21". YouTube. 18 April 2018. "Tai-Ping Liu (Stanford uni.) / Qualitative Study of the Boltzmann Equation -1 / 2009-10-21". YouTube. 18 April 2018. "Tai-Ping Liu (Stanford uni.) / Dissipative Systems / 2009-10-22". YouTube. 18 April 2018.

Illustrations

Worked examples

Example 1 — a first encounter with Tai-Ping Liu

Start with the simplest possible case. Write down what Tai-Ping Liu claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In astronomy, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Tai-Ping Liu before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Tai-Ping Liu ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Tai-Ping Liu

In research: Tai-Ping Liu appears in astronomy research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Tai-Ping Liu in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Tai-Ping Liu is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1945 births, 20th-century Taiwanese mathematicians, 21st-century Taiwanese mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Tai-Ping Liu outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Tai-Ping Liu in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Tai-Ping Liu means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Tai-Ping Liu out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Tai-Ping Liu in simple terms?

Tai-Ping Liu (Chinese: 劉太平; pinyin: Liú Tàipíng; born 18 November 1945) is a Taiwanese mathematician specializing in partial differential equations. Education and career Liu earned his bachelor's degree in mathematics in 1968 from National Taiwan University, his master's degree in 1970 from Oregon…

Why does Tai-Ping Liu matter?

Because it connects several astronomy ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Tai-Ping Liu?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Tai-Ping Liu.