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Research
My research interests include fluid mechanics, partial differential
equations, computational mathematics and the associated numerical analysis,
oceanography, coastal engineering and mathematical economics. Most of
my research has been done with a collection of excellent collaborators
whose identity can be ascertained in the complete list of publications.
2019 -- present
- (In collaboration with J. Lenells) The KdV equation on the half-line: time periodicity and mass transport. (2020-1)
- (In collaboration with D. Ambrose & T. Milgrom)) Global solutions and ill-posedness for the Kaup System and related Boussinesq Systems. (2019-2)
- (In collaboration with T. Colin & C. Guillopé) Propagation of long-crested water waves II. Bore Propagation. (2019-1)
Recent Collaborators
John Albert
Hongqiu Chen
Min Chen
Mimi Dai
Thierry Colin
Vassilios A. Dougalis
Hassan Fathallah-Shaykh
Thanasis Fokas
Zoran Grujic
Colette Guillope
Youngjoon Hong
Henryk Kalisch
Ohannes Karakashian
Barbara Karakiewicz
David Lannes
Jenny Li
Felipe Linares
Yue Liu
Dimitri Mitsotakis
David Nicholls
Jaime Angulo Pava
Gustavo Ponce
Juan Restrepo
Wojtek Romanczyk
Manuel Santos
Jean-Claude Saut
Marcia Scialom
Christof Sparber
Shuming Sun
Michael Tom
Nikolay Tzvetkov
Ed Thornton
Vladimir Varlamov
Ed Vrscay
Fred Weissler
Jiahong Wu
Bing-Yu Zhang