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20122023
most citedOn the lifespan of and the blowup mechanism for smooth solutions to a class of 2-D nonlinear wave equations with small initial data

2 citations · 5 across the 7 of their papers we have counts for

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9 papers · 1 filter

math.AP2023

Global smooth solutions to 4D quasilinear wave equations with short pulse initial data

Bingbing Ding, Zhouping Xin, Huicheng Yin

In this paper, we establish the global existence of smooth solutions to general 4D quasilinear wave equations satisfying the first null condition with the short pulse initial data.…

math.AP20221 cited

On the blowup mechanism of smooth solutions to 1D quasilinear strictly hyperbolic systems with large initial data

Jun Li, Gang Xu, Huicheng Yin

For the first order 1D quasilinear strictly hyperbolic system with , where is small, $u_0(x)…

math.AP2021

Formation and construction of a multidimensional shock wave for the first order hyperbolic conservation law with smooth initial data

Yin Huicheng, Zhu Lu

In this paper, the problem on formation and construction of a multidimensional shock wave is studied for the first order conservation law $\partial_t u+\partial_x F(u)+\partial_y G…

math.AP2018

On semilinear Tricomi equations in one space dimension

Daoyin He, Ingo Witt, Huicheng Yin

For 1-D semilinear Tricomi equation with initial data , where , , $p>…

math.AP20171 cited

On the global existence and stability of 3-D viscous cylindrical circulatory flows

Huicheng Yin, Lin Zhang

In this paper, we are concerned with the global existence and stability of a 3-D perturbed viscous circulatory flow around an infinite long cylinder. This flow is described by 3-D…

math.AP2017

The global existence and large time behavior of smooth compressible fluid in an infinitely expanding ball, III: the 3-D Boltzmann equation

Huicheng Yin, Wenbin Zhao

This paper is a continuation of the works in \cite{Euler} and \cite{NS}, where the authors have established the global existence of smooth compressible flows in infinitely expandin…