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20042022
most citedOn the Euler-Poincaré equation with non-zero dispersion

25 citations · 59 across the 11 of their papers we have counts for

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math.AP2022

Numerical Analysis for Real-time Nonlinear Model Predictive Control of Ethanol Steam Reformers

Robert Joseph George, Xinwei Yu

The utilization of renewable energy technologies, particularly hydrogen, has seen a boom in interest and has spread throughout the world. Ethanol steam reformation is one of the pr…

math.AP2019

New Regularity Criteria for the Navier-Stokes Equations in Terms of Pressure

Benjamin Pineau, Xinwei Yu

In this paper, we generalize the main results of [1] and [31] to Lorentz spaces, using a simple procedure. The main results are the following. Let and let be a Leray-…

math.AP2015

On Stationary Solutions of the 2D Doi-Onsager Model

Mohammad Ali Niksirat, Xinwei Yu

We study the 2D Doi--Onsager models with general potential kernel, with special emphasis on the classical Onsager kernel. Through application of topological methods from nonlinear…

math.AP2013

Note on Solution Regularity of the Generalized Magnetohydrodynamic Equations with Partial Dissipation

Chuong V. Tran, Xinwei Yu, Zhichun Zhai

In this brief note we study the -dimensional magnetohydrodynamic equations with hyper-viscosity and zero resistivity. We prove global regularity of solutions when the hyper-visc…

math.AP2013

On Global Regularity of 2D Generalized Magnetohydrodynamic Equations

Chuong V. Tran, Xinwei Yu, Zhichun Zhai

In this article we study the global regularity of 2D generalized magnetohydrodynamic equations (2D GMHD), in which the dissipation terms are and $- κ(-\trian…

math.AP2012★ 25 cited

On the Euler-Poincaré equation with non-zero dispersion

Dong Li, Xinwei Yu, Zhichun Zhai

We consider the Euler-Poincaré equation on , . For a large class of smooth initial data we prove that the corresponding solution blows up in finite time. This…