期刊： ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2020; 53 (4)
In this paper, we solve Gallay's conjecture on the spectral lower bound and pseudospectral bound for the linearized operator of the Navier-Stokes equa......
期刊： ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2020; 53 (4)
In this paper, we prove global regularity, scattering, and the non-existence of small traveling waves for the 3D capillary waves system in the flat bo......
期刊： ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2020; 53 (4)
Generalizing the continuous rank function of Barja-Pardini-Stoppino, in this paper we consider cohomological rank functions of Q-twisted (complexes of......
期刊： ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2020; 53 (5)
We show that Q-Fano varieties of fixed dimension with anti-canonical degrees and alpha-invariants bounded from below form a bounded family. As a corol......
期刊： ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2018; 51 (1)
We prove that every three-dimensional vector field can be C-1 accumulated by Morse-Smale ones, or by ones with a transverse homoclinic intersection of......
期刊： ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2018; 51 (3)
In this paper, we prove that there is a canonical continuous Hermitian metric on the CM line bundle over the proper moduli space (M) over bar of smoot......
期刊： ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2018; 51 (4)
By the works of Yu, Kim and Hakim-Murnaghan, we have a parameterization and construction of all supercuspidal reprsentations of a reductive p-adic gro......
期刊： ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2018; 51 (5)
The aim of the work is to provide a stable method to get sharp bounds for Boltzmann and Landau operators in weighted Sobolev spaces and in anisotropic......
