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Cross-diffusion predator-prey models arising by time-scale arguments

Por Cinzia Soresina (CMAF-CIO - Universidade de Lisboa).

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Optimizing the first Dirichlet eigenvalue of the Laplacian with an obstacle

Por Davide Zucco (Università di Torino).

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Quasilinear elliptic systems with measure data

Por Eugénio Rocha (CIDMA, Universidade de Aveiro).

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Stability for the Data Processing Inequality in Quantum Information Theory

Por Eric Carlen (Department of Mathematics - Rutgers University, CMAF-CIO).

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Sign-changing solutions of the nonlinear heat equation with positive initial value

Por Fred Weissler (Institut Galilée - Université Paris 13).

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Fractionary powers of Laplacians in Fluid Mechanics

Por Antonio Córdoba (Universidad Autónoma de Madrid).

Abstract: Fractional powers of Laplacians play an important role in the evolution of fluid interphases and atmospheric fronts. There are several useful, and to some extend surprising, new pointwise inequalities satisfied by those operators which help us to understand the nature of several models in Fluid Mechanics, such as SQG, Hele-Shaw cells or Muskat’s problem.