Sijue Wu -Inventor of waterwave equation

1. Sijue Wu -Inventor of waterwave equation By Jean Qi and Fiona Or, Class 701

2. Awards • In 2001, Sijue Wu was awarded the Ruth Lyttle Satter prize by the American Mathematics Society. • The sixth Satter prize was given to Sijue Wu which honors amazing contributions to math research by women in the last five years. • In the same year, Sijue won the Morningside Silver medal for her work on waterwave problems.

3. Sijue Wu • Born on May 15, 1964 in China. • She worked at the New York University for two years and was assistant professor at Northwestern University for four years and assistant, then an associate professor at the University of Iowa for two years. • Received a B.S in 1983 , M.S in 1986 from Beijing University, and her PH.D in 1990 from Yale University • Sijue Wu was an associate professor at the University of Maryland, College Park, since 1998. • She is currently a professor at Michigan University.

4. Sijue Wu and the Water wave Equation • The water wave equation was further studied by Sijue Wu and she was awarded for her work on a long-standing problem in the water wave equation,in particular for the results in her papers. • It was a well-posedness Sovolev spaces of the full water wave problem.

5. The waterwave equation is an important differential equation which describes many waves such as water, light, and sound waves. Sijue Wu proves that the Taylor sign condition always holds and that there exists a unique solution to the water wave equations for a finite time interval when the initial wave profile is a Jordon surface.. The Water Wave Equation

6. Interesting Facts • She was a member at the Institute for Advanced Study in the fall of 1992 and during the year 1996-97. • . She has also worked as an associate professor at the University of Maryland, College Park since 1998. • Her work consists of the full nonlinear water equation and the motion of general two-fluid flows

7. Solution to Water wave equation • A solution to the one dimensional scalar equation, that can be written in factor form, was created by d’Alembert . • As a result, if F and G are arbitrary functions, then any sum of the form will successfully solve the water wave equation. The two terms are traveling waves, any point on the wave form given by a specific argument for F or G will movewith velocity c in either the forward or backwards direction: frontwards for F and backwards for G. These functions can be determined to satisfy arbitrary initial conditions. • However, the waveforms F and G may also be generalized functions, such as the delta-function. In this case, a solution may be made as an impulse that travels toeither the right or the left. • The basic water wave equation is a linear differential equation which means that the amplitude of two waves interacting is simply the sum of the waves. This concludes that a behavior of a wave can be analyzed by breaking up the waves into components. The Fourier transform, a fourier analysis, breaks up a wave into sinusoidal components and is useful for analyzing the wave equation.

8. Citations http://www.agnesscott.edu/lriddle/WOMEN/wu.htm http://www.ams.org/notices/200104/comm-satter.pdf http://en.wikipedia.org/wiki/Wave_equation#Solution_of_the_initial_value_problem