4 papers
Accelerated forward-backward method with fast convergence rate for nonsmooth convex optimization beyond differentiability
Wei Bian, Fan Wu
We propose an accelerated forward-backward method with fast convergence rate for finding a minimizer of a decomposable nonsmooth convex function over a closed convex set, and name…
The local characterizations of the singularity formation for the MHD equations
Wenke Tan, Fan Wu
This paper characterizes the possible blow-up of solutions for the 3D magneto-hydrodynamics (MHD for short) equations. We first establish some -regularity criteria in $L^{q,\inf…
Smoothing fast iterative hard thresholding algorithm for regularized nonsmooth convex regression problem
Fan Wu, Wei Bian, Xiaoping Xue
We investigate a class of constrained sparse regression problem with cardinality penalty, where the feasible set is defined by box constraint, and the loss function is convex, but…
A regularity criterion for three-dimensional micropolar fluid equations in Besov spaces of negative regular indices
Fan Wu, Maria Alessandra Ragusa
In this article, we study regularity criteria for the 3D micropolar fluid equations in terms of one partial derivative of the velocity. It is proved that if \begin{equation*} \int^…