most citedOn the energy equality for the 3D incompressible viscoelastic flows

2 citations · 2 across the 6 of their papers we have counts for

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6 papers

math.AP2021★ 2 cited

On the energy equality for the 3D incompressible viscoelastic flows

Wenke Tan, Fan Wu

In this paper, we study the problem of energy conservation for the solutions to the incompressible viscoelastic flows. First, we consider Leray-Hopf weak solutions in the bounded L…

math.OC2021

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…

math.AP2021

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…

math.AP2021

Energy conservation for the non-resistive MHD equations with physical boundaries

Wenke Tan, Fan Wu

In this paper, we study the energy equality for weak solutions to the non-resistive MHD equations with physical boundaries. Although the equations of magnetic field are of hype…

math.OC2021

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…

math.AP2020

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^…