Computation and theory athens, georgia april 14, 2015 sponsored by the international association for mathematics and computers in simulation imacs the computer science department, university of georgia edited by gino biondini and. Sijue wu speaking at birs workshop, theoretical and computational aspects of nonlinear surface waves, on tuesday, november 1, 2016 on the topic. Jan 18, 2006 geometry unbound this is the web site for an e book entitled geometry unbound, by kiran s. Recent progress in mathematical analysis of vortex sheets. Errata for understanding numbers in elementary school mathematics september 14, 2018.
Then she worked for two years for the french national centre for scientific research, and was named in 2002 full professor of mathematics at pierreandmariecurie university at the age of 27. Gilbert studies analysis, probability, discrete mathematics, and algorithms with applications to harmonic analysis, signal and image processing, and massive datasets. Sijue wu, professor of mathematics, university of michigan, ann arbor. If you are unable to provide an electronic version of your paper, please contact the editorial office prior to submission email. University of michigan, ann arbor, michigan, united states email sijue wu. In this note, we present some recent methods and ideas developed concerning the local and global wellposedness of these problems, the focus is on the structural aspect of the equations. Concerning long time existence with small, smooth, decayingcauchydata,sijuewuprovedglobalwellposednessindimension 3i. Understanding numbers in elementary school mathematics. Finite mathematics for the managerial, life, and social. As shown by sijue wu in 25, the quaternionic analysis calculus turned out be a key ingredient in solving fundamental problems related to the wellposedness of the full 3d water wave problem in sobolev spaces where the application of well established methods from harmonic and numerical analysis methods did not lead to any success. Even before the award of the masters degree, she had a paper published, namely hilbert transforms for convex curves in r n. James milgram department of mathematics stanford university stanford, ca hunghsi wu department of mathematics university of california, berkeley berkeley, ca analysis of the results from timss suggests that the u.
Blowup time and blowup mechanism of small data solutions to. Top american libraries canadian libraries universal library community texts project gutenberg biodiversity heritage library childrens library. The morningside medal of mathematics is awarded to exceptional mathematicians of chinese descent under the age of fortyfive, for seminal achievement in mathematics and applied mathematics. Room 202, astro math building ntu campus refreshment. It is based on three russian editions of prasolovs books on plane geometry. However, there are a number of ideas that require use of higherorder thinking and the ability to quest deeply for meaning and understanding. The 2010 morningside gold medal of mathematics was awarded to mutao wang of columbia university and to sijue wu of the university of michigan. A class of water wave problems concerns the dynamics of the free interface separating an inviscid, incompressible and irrotational fluid, under the influence of gravity, from a zerodensity region. This book is being made available through an opensource model the gnu free documentation license, which permits the free distribution and modification of the book, provided that such permission is also granted to distributed copies. The scholars, 55 chapters loosely strung together in the manner of a picaresque romance.
Prizes, awards, and honors for women mathematicians. She studied at beijing university, being awarded her first degree in 1983 and a masters degree in 1986. Wellposedness of the two and threedimensional full water wave problem. In addition, insightful portfolios highlight the careers of real people and discuss how they incorporate math into their daily professional activities. The math content level of this book is very modest, and the math prerequisite is also very modest. Department of mathematics, university of michigan, 2844 east hall, 530 church street, ann arbor, mi 48109.
To submit students of this mathematician, please use the new data form, noting this mathematicians mgp id of 183819 for the advisor id. On the motion of the interface between two fluid sijue wu abstract weconsiderthemotionoftheinterface betweentwo superposed. There will be a poster session for which everyone, and in particular graduate students, may apply. Revised september 3, 2002 a completely revised version of this document has appeared as part 2 of the book, understanding numbers in elementary school mathematics, amer. Sijue wu s school and undergraduate education were in china. Our objective is the formation of an annual summer school and workshop on waves and fluid dynamics for advanced undergraduate and graduate students, as well as postdoctoral scholars. The ruth lyttle satter prize in mathematics is awarded to sijue wu for her work on a. The family of avron douglis generously donated his scientific library to the department of mathematics.
Hou and lowengrub 1 formulated the taylor sign condition for an arbitrary. She then went to the united states to undertake research. University of michigan invited speakers onur alper. In this paper, we prove local wellposedness for this model in the minkowski background with free boundary. Sijue wu 1964 mactutor history of mathematics university of. The mathematical sciences research institute msri, founded in 1982, is an independent nonprofit mathematical research institution whose funding sources include the national science foundation, foundations, corporations, and more than 90 universities and institutions. The evolution of the interface the vortex sheet is governed by the birkhoffrott br equations. Lp estimates for a singular integral operator motivated by. Sijue wus homepage mathematics university of michigan. Murray yale phd 83 of the university of iowa for her thoughtful advice and expert help in the crafting of this note. Waves with angled crests, jointly written with my advisor, sijue wu, has been. The michigan mathematical journal is published by the department of mathematics at the university of michigan and endeavors to publish significant research articles in all areas of mathematics.
Linear algebra, point set topology, real and complex analysis. Sijue wu is a chineseamerican mathematician who works as the robert w. On the formation of singularities for surface water waves. Graduate students, recent phds, and members of underrepresented groups are especially encouraged to apply. If you have additional information or corrections regarding this mathematician, please use the update form. Lectures on the theory of water waves edited by thomas j. University of sao paulo institute of mathematics and computer science, sao. Selected solutions are available electronically for instructors only. A more definitive target date will be announced in 2018.
Her research involves the mathematics of water waves. Book of abstracts the ninth imacs international conference on nonlinear evolution equations and wave phenomena. Mathematical analysis hongci huang, xiaonan wu and tieyong zeng department of mathematics hong kong baptist university january, 2017. To send an email to sijue wu please complete the short form below. Mathematics is the language of the sciences, a cultural phenomenon with a rich historical tradition, and a model of abstract reasoning. Semiclassical microlocal normal forms and global solutions of. In the appendix we explain how to extend our proof to the general barotropic fluid free boundary problem. We dont know when or if this item will be back in stock. The prize is intended to recognize authors of exceptionally well written books with a positive impact on the publics view of mathematics and to encourage the writing of such books.
By sijue wu abstract we consider the motion of the interface separating two domains of the same fluid that moves with different velocity along the tangential direction of the interface. The inviscid surface quasigeostrophic sqg equation has a biotsavart law that is one derivative less regular than in the euler case, and the question of global regularity for its solutions is still open. Roger howe in perspective a response to eileen pollack. The daom library includes 11 inquirybased books freely available for classroom use. There exist 0 0, t 0, depending only on f and g such that for 0 book is the fruit of a collaboration of many people. Please note that all enquiries should relate specifically to journal of differential equations. Functional analysis is a core subject in mathematics. Shinbrot 19 and kano and nishida 12 obtained the local existence and uniqueness in time for both the 2d and 3d water wave problems with analytic data. Sijue wu, wellposedness in sobolev spaces of the full water wave problem in 2d, invent.
These 10 most famous female mathematicians in the 21st century are working on research that will thoroughly change the way we observe not just mathematics, but the world itself. Unlike pu songling, whom he far surpassed in both narration and characterization, he adopted the vernacular as his sole medium for fiction writing. Sijue wu department of mathematics university of michigan ann arbor, michigan yingfei yi school of mathematics georgia institute of technology atlanta, georgia chongchun zeng. Alinhac, blowup of small data solutions for a class of quasilinear wave equations in two space dimensions, ann. A listing of all the books and journals pdf regular faculty of the department of mathematics who wish to borrow any book may do so by filling out a card in room 2309. A read is counted each time someone views a publication summary such as the title, abstract, and list of authors, clicks on a figure, or views or downloads the fulltext.
Sijue wu is a chineseamerican mathematician who works as the robert west. Wellposedness and singularities of the water wave equations. Suitable for majors and nonmajors alike, the text uses an intuitive approach that teaches concepts through examples drawn from reallifeparticularly from students fields of interest. Beyond singapores mathematics textbooks focused and flexible supports for teaching and learning patsy wangiverson is the vice president for special projects at the gabriella and paul rosenbaum foundation, where she focuses on timss, lesson study, and mathematics education in highperforming nations, and. To submit students of this mathematician, please use the new data form, noting this mathematicians mgp id of 39115 for the advisor id. Pdf advanced mathematics for engineering and applied sciences. Mathematics genealogy project department of mathematics north dakota state university p. Inquirybased learning guides discovering the art of. Mathematical analysis of vortex sheets sijue wu university of michigan abstract we consider the motion of the interface separating two domains of the same.
Mark rudelson, and sijue wu were three of the 40 mathematicians to receive fellowships, which provide funding for up to a semester long research leave. Wellposedness of the two and threedimensional full. The book is addressed to high school students, teachers of mathematics, mathematical clubs, and college students. Sijue wu mathematical analysis of the water waves and some related problems apr 18 francois greer counting curves on elliptic cy threefolds fabian haiden stability for fibered categories and special graphs apr 20 ming zhang tautological relations of moduli space of curves via quasimodular forms. The 20 prize winner was maryam mirzakhani, who, in 2014, was the first woman to be awarded the fields medal. Conference on nonlinear partial differential equations and. Journal of differential equations connecting repositories. In this paper, we prove the existence of smooth initial data for the 2d free boundary incompressible euler equations also known for some particular scenarios as the water wave problem for which the smoothness of the interface breaks down in finite time into a splash singularity or a splat singularity. The hard phase model describes a relativistic barotropic irrotational fluid with sound speed equal to 1. We consider the two dimensional gravity water wave equation in the regime that. Fe b 20 15 a blowup criteria and the existence of 2 d.
I was trained as a harmonic analyst, later on moved into the subject of nonlinear partial differential equations. Mathematics 108 at brigham young universityidaho online. Mathematical analysis in fluid and gas dynamics kyoto university. Some large time behaviors of the water wave motion sijue wu university of michigan february 1, 20 in this talk, i will present recent results on some large time behaviors of solutions of the full water wave equations. Some large time behaviors of water waves k t 8 v k. From this starting point, i will present joint work with sijue wu deriving decay estimates for a class of 1d dispersive pde including the water wave case, with precise applications to the existence for the solutions of the 2d water wave problem. According to our current online database, sijue wu has 5 students and 5 descendants. This is considered to be the highest honor a mathematician can receive. These texts can be used as semesterlong content for themed courses e. Institute of advanced studies, princeton guanying peng. Sijue wu registration please visit the conference website to register and apply for funding. Global wellposedness of the 3d full water wave problem. Sijue wu department of mathematics, university of michigan, ann arbor, mich.
Sijue wu born march 15, 1964, united states of america. A class of water wave problems concerns the dynamics of the free interface separating an inviscid, incompressible and irrotational fluid, under the influence. Typically, one volume is published each year, and each volume consists of four issues three issues prior to 2012. Google scholar 17 sijue wu, almost global wellposedness of the 2d full water wave problem. Gamelin, complex analysis please contact the instructor prior to a book purchase as text may change. We assume that the uid region is below the air region. Some large time behaviors of water waves sijue wu we consider the motion of the interface separating an inviscid, incompressible, irrotational uid, under the in uence of gravity, from a region of zero density i. Browne professor of mathematics at the university of michigan. I am a professor in the department of mathematics at university of michigan. A blowup criteria and the existence of 2d gravity water waves with angled crests sijue wu abstract. A joint award was made for the only time in 2001, when karen e. It is well known that the incompressible euler equations in two dimensions have globally regular solutions. University of arizona organizers patricia bauman, purdue.
The mathematics genealogy project is in need of funds to help pay for student help and other associated costs. Electronic files accepted include pdf, postscript, word, dvi, and latex. Problems in plane and solid geometry download book. A wiley series of texts, monographs and tracts, 1st ed. The euler book prize is awarded annually to an author or authors of an outstanding book about mathematics. On the motion of a selfgravitating incompressible fluid with free boundary. Fifth international congress of chinese mathematicians. Editorial board, journal of differential equations university of michigan, ann arbor, michigan, united states send an email to sijue wu. The paperback of the primary mathematics intensive practice u.
Theorem sijue wu, 2009 let initial interface be a graph z. With a vibrant community of over 750 declared majors and minors and graduate students, mathematics is also one of the more popular subjects to study at michigan. Mathematical analysis hong kong baptist university. If you would like to contribute, please donate online using credit card or bank transfer or mail your taxdeductible contribution to. Google scholar 16 sijue wu, wellposedness in sobolev spaces of the full water wave problem in 3d, j. Finite time singularity for the modified sqg patch equation. It is housed in the office of stuart antman, room 2309. The institute is located at 17 gauss way, on the university of california, berkeley campus, close to grizzly peak, on the.
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