Adrian Constantin (born 22 April 1970) is a Romanian-Austrian mathematician who does research in the field of nonlinear partial differential equations. He is a professor at the University of Vienna and has made groundbreaking contributions to the mathematics of wave propagation. He is listed as an ISI Highly Cited Researcher with more than 160 publications and 11,000 citations.
Life and career
Adrian Constantin was born in TimiÃÂoara, Romania, where he studied at the Nikolaus Lenau High School. He was later educated at the University of Nice Sophia Antipolis (BSc 1991, MSc 1992) and at New York University (NYU), where he got his PhD in 1996 under Henry McKean with the thesis "The Periodic Problem for the CamassaâÂÂHolm equation". He did post-doctoral work at the University of Basel and at the University of Zurich.
After a short period as a lecturer at the University of Newcastle upon Tyne, he became a professor at the University of Lund in 2000, and then was Erasmus Smith's Professor of Mathematics at Trinity College Dublin (TCD) from 2004 to 2008, and was made a fellow in 2005. Since then he has been university professor for partial differential equations at the University of Vienna, and also had a chair at King's College London during the period 2011âÂÂ2014.
Constantin specializes in the role of mathematics in geophysics using nonlinear partial differential equations to mathematically model currents and waves in the oceans and in the atmosphere. These flows and waves play an important role in the El Niño climate phenomenon and in natural disasters such as tsunamis. His approach takes into account the fact that the surface of the earth is curved and the importance of the Coriolis force.
Awards and honours
Selected publications
papers
- 1998: Wave breaking for nonlinear nonlocal shallow water equations (with J. Escher), Acta Mathematica 181 229âÂÂ243.
- 1999: A shallow water equation on the circle (with H. P. McKean), Comm. Pure Appl. Math. 52 949âÂÂ982.
- 2000: Stability of peakons (with W. Strauss), Comm. Pure Appl. Math. 53 603âÂÂ610.
- 2004: Exact steady periodic water waves with vorticity (with W. Strauss), Comm. Pure Appl. Math. 57 481âÂÂ527.
- 2006: The trajectories of particles in Stokes waves, Invent. Math. 166 523âÂÂ535.
- 2007: Global conservative solutions of the Camassa-Holm equation (with A. Bressan), Arch. Ration. Mech. Anal. 183 215âÂÂ239.
- 2011: Analyticity of periodic traveling free surface water waves with vorticity (with J. Escher), Ann. of Math. 173 559âÂÂ568.
- 2016: Global bifurcation of steady gravity water waves with critical layers (with W. Strauss and E. Varvaruca), Acta Mathematica 217 195âÂÂ262.
- 2019: Equatorial wave-current interactions (with R. I. Ivanov), Comm. Math. Phys. 370 1âÂÂ48.
- 2022: On the propagation of nonlinear waves in the atmosphere (with R. S. Johnson), Proceedings of the Royal Society A 478 (2260), 20210895
- 2022: Stratospheric planetary flows from the perspective of the Euler equation on a rotating sphere (with P. Germain), Arch. Ration. Mech. Anal., (245 587âÂÂ644)
Books
- 2011: "Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis", Society for Industrial and Applied Mathematics, Philadelphia,
- 2016: "Fourier Analysis. Part 1. Theory", London Mathematical Society, Cambridge University Press,
- 2024: "Analysis I", Springer Spektrum, Berlin, Heidelberg,
References
External links