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Cabré Vilagut, Xavier
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ICREA Research Professor at UPC (Universitat Politècnica de Catalunya). Experimental Sciences & Mathematics
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Born in 1966 in Barcelona. PhD in Mathematics (area: Partial Differential Equations), Courant Institute, New York University, 1994. Kurt Friedrichs Prize, New York University, 1995. Member of the Institute for Advanced Study, Princeton, 1994-95. Habilitation à diriger des recherches, Université Pierre et Marie Curie-Paris VI, 1998. Harrington Faculty Fellow, The University of Texas at Austin, 2001-02. Tenure Associate Professor, The University of Texas at Austin, 2002-03. ICREA Research Professor at the Universitat Politècnica de Catalunya since 2003. Member of the Editorial Board of 4 indexed journals. Publications include 1 book and 32 journal articles. 80 invited talks at congresses.
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Research Interest
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X. Cabré research focuses on the mathematical analysis of non-linear phenomena arising in models of Mathematical Physics and Finance. The models involve diverse nonlinear partial differential equations, mainly of reaction-diffusion or fully non-linear type, and concern chemical reaction fronts, flames propagation in combustion theory, population dynamics of biological communities, and option pricing in markets. One of his current projects concerns a recently flourishing area: reaction problems for fractional Laplacians associated to jump or Levy diffusion processes. These problems model, among other phenomena, "anomalous diffusions" occurring in some reaction fronts, as well as American options in Mathematical Finance
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KeyWords
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Partial Differential Equations
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