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BCAMSevero Ochoa Award

basque center for applied mathematics

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García Cervera, Carlos

External Scientific Member

Applied Analysis

Mazarredo, 14. 48009 Bilbao Basque Country - Spain


My interests lie at the interface between Mathematics and Materials Science. My main areas of research fall within the umbrella of Multiscale Modelling and Analysis, and more specifically Micromagnetics, Complex Fluids, and Quantum Mechanics in the context of Density Functional Theory. In Micromagnetics, I have developed new numerical techniques for the solution of the Landau-Lifshitz equation, and I have studied the magnetization dynamics in ferromagnetic thin films, as well as the structure of one-dimensional walls, temperature effects on the magnetization reversal process, and the effect of spin-polarized currents in the magnetization reversal process. In the area Complex Fluids, I have studied the flow of nematic liquid crystals via two- and three-dimensional simulations of the fully coupled Navier-Stokes and Doi-Marrucci-Greco model; I have developed numerical methodologies for block-copolymers in the context of Self-Consistent Field Theory, and have analyzed the formation of undulations in smectic liquid crystals. My main focus in Density Functional Theory has been the study of quantum-mechanical systems in the presence of magnetic fields. I am generally interested in systems where a description at different scales and levels of physical accuracy is required, and the rigorous connection between such a description and a more coarse-grained model.

Eusko Jaurlaritza - Gobierno Vasco ikerbasque - Basque Foundation for Science Bizkaia xede. Bizkaiko Foru Aldundia innobasque - Agencia vasca de la innovación Universidad del PaÌs Vasco (UPV/EHU)