Ph.D., Lund University, 2006 (Advisor: A. Constantin)
M.S., Lund University, 2002
Dr. Lenells grew up in Växjö, Sweden. After completing his Ph.D. in Mathematics at Lund University in Sweden in 2006, he served as a Visiting Assistant Professor at the University of California, Santa Barbara (2006-2007) and as a Marie Curie Research Fellow at the University of Cambridge, UK (2007-2009). Before joining the Baylor faculty in 2010, he spent one year (2009-2010) at the Gottfried Wilhelm Leibniz University in Germany.
Besides mathematics, he enjoys playing all kinds of sports: swimming, biking, table tennis, floorball, etc. He also likes playing piano and guitar, camping, juggling, and going to church. Interspersed with his doctoral studies, he spent a total of more than one year overseas with the organization Youth With A Mission, doing relief and missions work.
Academic Interests and Research:
Dr. Lenells' research focuses on nonlinear partial differential equations (PDEs) and their applications to problems in mathematical physics.
J. Lenells and A. S. Fokas, On a novel integrable generalization of the nonlinear Schrödinger equation, Nonlinearity 22 (2009), 11--27.
T. Dimofte, S. Gukov, J. Lenells, and D. Zagier, Exact results for perturbative Chern-Simons theory with complex gauge group, Commun. Number Theory Phys. 3 (2009), 1--81.
J. Lenells, The derivative nonlinear Schrödinger equation on the half-line, Physica D 237 (2008), 3008--3019.
J. Lenells, The Hunter-Saxton equation describes the geodesic flow on a sphere, J. Geom. Phys. 57 (2007) 2049--2064.
J. Lenells, Traveling wave solutions of the Camassa-Holm equation, J. Diff. Eq. 217 (2005), 393--430.