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Jean-Marc Vanden-Broeck

Vanden-Broeck in Giverny, 2019

Jean-Marc Vanden-Broeck (born September, 11, 1951) is a UK mathematician of Belgian origin. He is a Professor of Applied Mathematics at the University College, London.

Biography and Academic Career

Vanden-Broeck was born in Liège, Belgium on September 11, 1951. He received the degree of Ingénieur Physicien from the University Of Liège in 1974 and another one in Oceanography in 1975. He then became a Ph.D. student at the University of Adelaide, Australia, where he worked with Ernie Tuck and Leonard Schwarz. His Ph.D. thesis entitled Two-dimensional nonlinear free surface flows past semi-infinite bodies, was defended in 1978 and received the William Culross Prize for Scientific Research.

After a short postdoctoral experience in Australia, Vanden-Broeck moved to the United States, first as a Senior Researcher at the Courant Institute, New York, 1978-1979 and then in a similar post at the Stanford University 1979-1981. He then moved to the University of Wisconsin-Madison, where he became a full professor in 1987. Vanden-Broeck stayed at the University of Wisconsin-Madison until 1998, when he came back to Europe, taking the post of the Professor of Applied Mathematics at the University of East Anglia in Norwich, UK. In 2007 he moved to the University College London, where is a Professor of Applied Mathematics.

In addition to the posts listed above, Vanden-Broeck has held visiting professorship at a number of universities around the world, including a visiting professorship at the Tel Aviv University, Israel 1993-1994, Weisman Visiting Professorship at Baruch College in 2001 and Chair Montel at the University of Nice, France in 2019. For many years he was a Research Professor at New Jersey Institute of Technology, USA and is an Honorary Professor at the University of East Anglia, UK. Vanden-Broeck has had many graduate students, some of whom are Ersin Ozogurlu, Ben Binder and Tao Gao, and has mentored and co-mentored numerous postdocs, including Emilian Parau, Dmitri Tseluiko, Zhang Wang and Olga Tritchtchenko. He is a Fellow of the Institute of Mathematics and its Applications, UK.

Vanden-Broeck shares his life between London and Paris, where lives his daughter Ada Vanden-Broeck (born September 2, 2006), and is a frequent visitor to his native Belgium. He is married to the logician Mirna Dzamonja.

Scientific Work

Vanden-Broeck works on Applied Mathematics, Fluid Mechanics and Scientific Computing. He is known for his work on free boundary problems. These problems involve solving partial differential equations in domains whose shape has to be found as part of the solution. They occur in many physical and industrial applications. Examples include waves propagating at the interface between two fluids, bubbles rising in a fluid and growing tumors. Mathematically, free boundary problems are challenging because of their nonlinearity. He has developed efficient and accurate boundary integral equation methods to solve free boundary problems occurring in fluid mechanics. An important insight of this work is the effect of surface tension, where he discovered classes of problems which have a continuum of solutions when surface tension is neglected but only a discrete set of solutions when surface tension is taken into account. Moreover, this discrete set reduces to a unique solution as the surface tension tends to zero. He is known for his work on fingering in Hele-Shaw cells. His more recent research is concerned with three dimensional free surface flows and the discovery of three dimensional solitary waves and studying the effects of electric fields on interfacial flows. Vanden-Broeck's publication list as of September 2019 has more than 230 papers and he is the author of the book Gravity-Capillary Free Surface Flows, Cambridge University Press, 2010. His work is frequently cited author, with his h index equal to 42, according to the Google Scholar page. Many of his papers are available at his personal web site at UCL.

Awards

• William Culross Prize for Scientific Research, 1978
• US Presidential Young Investigator Award, 1984
• Exxon Foundation Research Prize, 1985
• Lady Davis Fellowship, 1994
• Stewartson Memorial Lecture, 2003
• James Lighthill Memorial Paper, 2004

Selected Work

• Gravity-Capillary Free Surface Flows, book, Cambridge University Press, 2010
• Fingers in a Hele-Shaw Cell with Surface Tension, 1983
• Solitary and periodic gravity capillary waves of finite amplitude (with JK Hunter), 1983
• Numerical calculations of the free-surface flow under a sluice gate, 1997
• Nonlinear three-dimensional gravity-capillary solitary waves (with MJ Cooker and EI Parau), 2005
• Numerical studies of two-dimensional hydroelastic periodic and generalised solitary waves (with T Gao), 2014

References

1. A special issue of IMA Journal of Applied Mathematics in honour of JM Vanden-Broeck's 60th birthday, vol. 78, issue 4 (P. Milewski and D. Papageorgiu, editors), August 2013
2. Prof. Vanden-Broeck's web site at UCL including many of his papers
3. Vanden-Broeck's google scholar profile

External Links

1. Mirna Dzamonja's web site