André de Laire is a Research Fellow in Mathematics. Before arriving in Birmingham in 2012, he completed his PhD at the University Pierre et Marie Curie in France, under the supervision of Prof. Fabrice Béthuel.
His research interests include nonlinear analysis and partial differential equations.
PhD in Mathematics, University Pierre et Marie Curie, 2011
MSc in Numerical Analysis and PDEs, University Pierre et Marie Curie, 2008
Bsc in Engineering, University of Chile, 2005
André de Laire received his BSc in Mathematical Engineering and his Mathematical Engineering degree from the Department of Mathematical Engineering (DIM) at the University of Chile in 2005 and 2006. After that, he went to France to the University Pierre et Marie Curie, where he received his MSc in 2008 and his Ph.D. in 2011.
A. de Laire’s research is concerned with nonlinear partial differential equations in aspects such as the global well-posedness and the study of localized and coherent structures.
Dispersive Partial Differential Equations, such as the Gross-Pitaevskii and the Landau-Lifshitz equations.
de Laire, A., (2009), Non-existence for travelling waves with small energy for the Gross-Pitaevskii equation in dimension N ≥ 3, C. R. Acad. Sci. Paris, Ser. I, 347: 375-380.
de Laire, A., (2010), Global well-posedness for a nonlocal Gross-Pitaevskii equation with non-zero condition at infinity, Communications in Partial Differential Equations, 35(11): 2021-2058.
de Laire, A., Nonexistence of traveling waves for a nonlocal Gross-Pitaevskii equation, Indiana Univ. Math.J., In press.
De Laire, A., Traveling waves for the Landau-Lifshitz equation: Nonexistence of small energy solutions and asymptotic behaviour at infinity, preprint.