Sijue Wu

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Sijue Wu

Sijue Wu ( Chinese  邬 似 珏 , Pinyin Wū Sìjué ; born May 15, 1964 in the People's Republic of China ) is an American mathematician of Chinese origin who deals with analysis, in particular with nonlinear partial differential equations of hydrodynamics .

Life

Wu studied at Peking University , where she made her intermediate diploma in 1983 and her diploma in 1986. She then went to Yale University , where she received her doctorate in 1990 under Ronald Coifman ( Nonlinear singular integrals and analytic dependence ). As a post-doctoral student, she was a Courant Instructor at the Courant Institute of Mathematical Sciences of New York University and the Institute for Advanced Study (1992 and again from 1996 to 1997). In 1992 she became an assistant professor at Northwestern University and from 1997 she was at the University of Iowa , where she became an associate professor in 1998. In 1998 she went to the University of Maryland. In 2008 she became a Robert and Lynne Browne Professor at the University of Michigan .

plant

Wu initially dealt with Hardy spaces , Calderon-Zygmund theory and analytical theory of minimal surfaces . However, she became known for results on the regularity and uniqueness of the solution of equations in hydrodynamics, using methods of harmonic analysis such as Calderon-Zygmund theory. It solved a long open problem in the analytical theory of nonlinear water waves, where in the two-dimensional case of an incompressible, non-viscous liquid without rotation (but for the full nonlinear equations under the influence of gravity) it proved the well-being in Sobolev spaces , that is the existence of a unique solution for a finite time for an initial waveform that does not intersect itself ( Jordan surface ). She showed that there is no Taylor instability of the waveform. Later she considered the extension to the three-dimensional case with air (modeled as a liquid of vanishing density) above the water surface (so that there can be two different tangential velocities on the surface), neglecting Surface tension. She examined the existence, uniqueness and regularity of the solutions and the nature and temporal development of occurring singularities. She tackled another open problem in her work on hydrodynamic solutions with vortex sheets, which can be observed in vortex streets when aircraft take off and are mathematically described by the Birkhoff-Rott equation and where the problem of finding functional spaces was open in which they have a well-placed initial value problem. She also mathematically investigates the equations of the boundary layer theory of hydrodynamics. In 2009 she also treated the almost global case of the two-dimensional water wave problem and showed the existence of unambiguous solutions.

In 2001 she received the Ruth Lyttle Satter Prize in Mathematics and the Morningside Medal in Silver at the International Chinese Mathematicians Congress in Taiwan and in 2010 the Morningside Medal in Gold. In 2002 she was invited speaker at the International Congress of Mathematicians in Beijing ( Recent progress in the mathematical analysis of vortex sheets ). In 2002/2003 she was a Fellow of the Radcliffe Institute.

Web links

Individual evidence

  1. ↑ Wu Well-posedness in Sobolev spaces of the full water wave problem-in two dimensions . In: Inventiones Mathematicae , Volume 130, 1997, pp. 39-72.
  2. ↑ Wu Well-posedness of the full water wave problem-in 3 dimensions . In: Journal American Mathematical Society , Volume 12, 1999, pp. 445-495, arxiv : 0910.2473
  3. ↑ The area of ​​a liquid flow where the tangential velocity field is discontinuous
  4. ^ Mathematical analysis of vortex sheets . In: Comm. Pure and Applied Mathematics , Volume 59, 2006, pp. 1065-1206
  5. ↑ It had already proven the existence for finite time intervals, the length of which depended on the initial value problem. In the following work she also showed the existence for times , because of the exponential dependence almost globally
  6. ^ Wu Almost global wellposedness of the 2-D full water wave problem . In: Inventiones Mathematicae , Volume 177, 2009, pp. 45-135
  7. ↑ arxiv : math / 0304399
personal data
SURNAME Wu, Sijue
ALTERNATIVE NAMES 邬 似 珏
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH May 15, 1964
PLACE OF BIRTH People's Republic of China