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20102024
most citedRepair Locality with Multiple Erasure Tolerance

197 citations

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7 papers · 1 filter

math.AP2021★ 2 cited

The Cauchy problem and wave-breaking phenomenon for a generalized sine-type FORQ/mCH equation

Guoquan Qin, Zhenya Yan, Boling Guo

In this paper, we are concerned with the Cauchy problem and wave-breaking phenomenon for a sine-type modified Camassa-Holm (alias sine-FORQ/mCH) equation. Employing the transport e…

math.AP2021★ 7 cited

Orbital stability of peakon solutions for a generalized higher-order Camassa-Holm equation

Guoquan Qin, Zhenya Yan, Boling Guo

In this paper, we investigate the orbital stability issue of a generalized higher-order Camassa-Holm (HOCH) equation, which is an higher-order extension of the quadratic CH equatio…

math.AP2017★ 74 cited

Sharp-interface limits of a phase-field model with a generalized Navier slip boundary condition for moving contact lines

Xianmin Xu, Yana Di, Haijun Yu

The sharp-interface limits of a phase-field model with a generalized Navier slip boundary condition for moving contact line problem are studied by asymptotic analysis and numerical…

math.AP2013★ 28 cited

On some new global existence result of 3D Magnetohydrodynamic equations

Cheng He, Xiangdi Huang, Yun Wang

This paper is devoted to the incompressible Magenetohydrodynamic equations in . We prove that if the difference between the magnetic field and the velocity is small initially…

math.AP2013★ 82 cited

Global Wellposeness for the 3D inhomogeneous incompressible Navier-Stokes equations

Walter Craig, Xiangdi Huang, Yun Wang

This paper addresses the three-dimensional Navier-Stokes equations for an incompressible fluid whose density is permitted to be inhomogeneous. We establish a theorem of global exis…

math.AP2012★ 118 cited

Serrin-Type Blowup Criterion for Viscous, Compressible, and Heat Conducting Navier-Stokes and Magnetohydrodynamic Flows

Xiangdi Huang, Jing Li

This paper establishes a blowup criterion for the three-dimensional viscous, compressible, and heat conducting magnetohydrodynamic (MHD) flows. It is essentially shown that for the…