Global weak solutions for generalized SQG in bounded domains

Finite time singularity for the modified SQG patch equation

(2016) Alexander Kiselev et al.   ANNALS OF MATHEMATICS

Existence, uniqueness and asymptotic behaviour for fractional porous medium equations on bounded domains

(2015) Matteo Bonforte et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Absence of Anomalous Dissipation of Energy in Forced Two Dimensional Fluid Equations

(2013) Peter Constantin et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

The Dirichlet problem for the fractional Laplacian: Regularity up to the boundary

(2013) Xavier Ros-Oton et al.   JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

Generalized surface quasi-geostrophic equations with singular velocities

(2012) Dongho Chae et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

Inviscid Models Generalizing the Two-dimensional Euler and the Surface Quasi-geostrophic Equations

(2011) Dongho Chae et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Positive solutions of nonlinear problems involving the square root of the Laplacian

(2010) Xavier Cabré et al.   ADVANCES IN MATHEMATICS