Matemática

Local well-posedness for the nonlocal derivative nonlinear Schrödinger equation in Besov spaces

Por Vanessa Barros (University of Porto/Federal University of Bahia-Brazil).

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Linear (and Nonlinear) Dirichlet Problems with Singular Convection/Drift Terms

Por Lucio Boccardo (Sapienza Università di Roma).

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Symmetry results in two-dimensional inequalities with magnetic fields

Por Denis Bonheure (Université Libre de Bruxelles).

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The Rovella attractor is asymptotically sectional-hyperbolic

Por Bernardo San Martin (Universidad Católica del Norte).

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Nijenhuis forms on Lie-infinity algebras

Por Joana Nunes da Costa (Universidade de Coimbra).

Abstract: We investigate Nijenhuis deformations of Lie-infinity algebras, a notion that unifies several Nijenhuis deformations, namely those of Lie algebras, Lie algebroids, Poisson structures and Courant structures.

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On the functional interpretation of functional types

Por Paulo Oliva (Queen Mary, University of London).

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Riemannian geometry on mapping spaces and relations to shape analysis and fluid dynamics

Por Philipp Harms (FREIS, Univ. Freiburg).

Abstract: Fluid dynamics and shape analysis are linked by a common underlying geometric structure, namely, Sobolev-type Riemannian metrics on manifolds of mappings. I will characterize the degeneracy and non-degeneracy of the corresponding geodesic distances, establish local well-posedness of the corresponding geodesic equations, and discuss applications of these results to shape analysis and fluid dynamics.