1 citations · 1 across the 17 of their papers we have counts for
17 papers
Sharp sign criterion for global existence and blow-up of strong solutions with arbitrarily large initial data in the 3D spherically symmetric compressible Navier-Stokes equations
Xiangdi Huang, Bingshu Li
We establish a sharp criterion for global-in-time existence versus finite-time blow-up of strong solutions to the 3D spherically symmetric compressible Navier-Stokes equations on a…
Formation of Implosion Singularities in 3D Compressible Navier-Stokes-Korteweg Equation
Xiangdi Huang, Yongteng Gu
Previous works of Gu-Huang-Meng-Zhou~\cite{Gu-Huang-Meng-Zhou} and Huang-Lei-Zhou~\cite{Huang-Lei-Zhou} established global strong solutions away from vacuum for arbitrarily large i…
On the large-time behavior of strong solutions to the generalized compressible Navier-Stokes-Korteweg system in 2D and 3D for arbitrarily large initial data
Xiangdi Huang, Weili Meng
In this paper, we establish the global existence and large-time behavior of strong solutions for the two- and three-dimensional periodic compressible Navier-Stokes-Korteweg system…
On the Cauchy problem for the multi-dimensional compressible Navier-Stokes-Korteweg system: Global strong solutions with arbitrarily large initial data
Xiangdi Huang, Muxi Lei, Huitao Zhou
Since the pioneering work of Korteweg (1901) and the subsequent refinement of capillary fluid models by Dunn and Serrin (1985), the global existence of strong solutions to the mult…
Global existence of classical solutions for the multi-dimensional compressible Navier-Stokes-Poisson equations on solid balls for arbitrary spherically symmetric large initial data
Jie Fan, Xiangdi Huang, Muxi Lei
Whether the 3D compressible Navier-Stokes-Poisson equations admit global classical solutions for general large initial data has long been a challenging open problem. In this paper,…
Global-in-time strong solutions for the 2D and 3D generalized compressible Navier-Stokes-Korteweg system with arbitrarily large initial data
Yongteng Gu, Xiangdi Huang, Weili Meng +1
In 1901, Korteweg formulated a constitutive equation for the Cauchy stress tensor to provide a continuum mechanical model for capillarity within fluids. Dunn and Serrin [Arch. Rati…
Global strong solutions with large initial data for the Cauchy problem of the multi-dimensional compressible Navier-Stokes-Korteweg system
Xiangdi Huang, Yongteng Gu, Muxi Lei
In this paper, we establish global strong solutions for arbitrarily large initial data to the 2D and 3D compressible Navier-Stokes-Korteweg system, also referred to as the quantum…
Global regularity of the multi-dimensional compressible Navier-Stokes-Korteweg system with large initial data
Xiangdi Huang, Weili Meng, Xueyao Zhang
In this work, we establish the global existence of strong solutions to the 2D and 3D compressible Navier-Stokes-Korteweg system with arbitrarily large initial data on the torus. Th…
Global spherically symmetric classical solutions for arbitrary large initial data of the multi-dimensional non-isentropic compressible Navier-Stokes equations
Yongteng Gu, Xiangdi Huang
In 1871, Saint-Venant introduced the shallow water equations. Since then, the global classical solutions for arbitrary large initial data of the multi-dimensional viscous Saint-Ven…
Global strong solutions and asymptotic behavior for arbitrarily large initial data of the 2D compressible Navier-Stokes equations with transport entropy
Jie Fan, Xiangdi Huang
In 1995, Kazhikhov and Vaigant introduced a particular class of isentropic compressible Navier-Stokes equations with variable viscosity coefficients and, for the first time, establ…
The lifespan of strong solutions to the compressible MHD equations with entropy transport in the presence of vacuum
Yongteng Gu, Xiangdi Huang
In this paper, we investigate the finite time blow-up of strong solutions to the compressible magnetohydrodynamic (MHD) system (without magnetic diffusion) coupled with entropy tra…
On global classical and weak solutions with arbitrary large initial data to the multi-dimensional viscous Saint-Venant system and compressible Navier-Stokes equations subject to the BD entropy condition under spherical symmetry
Xiangdi Huang, Weili Meng, Xueyao Zhang
In 1871, Saint-Venant introduced the renowned shallow water equations. Since then, for the two-dimensional viscous or inviscid shallow water equations, the global existence of smoo…
Global existence and optimal time-decay rates of the compressible Navier-Stokes equations with density-dependent viscosities
Jie Fan, Xiangdi Huang, Anchun Ni
This paper is devoted to studying the Cauchy problem for the three-dimensional isentropic compressible Navier-Stokes equations with density-dependent viscosities given by $μ=ρ^α,λ=…
Global well-posedness for 2D compressible radially symmetric Navier-Stokes equations with swirl
Xiangdi Huang, Weili Meng
In this paper, we consider the radially symmetric compressible Navier-Stokes equations with swirl in two-dimensional disks, where the shear viscosity coefficient \(μ= \text{const}>…
Finite time blowup of strong solutions to the two dimensional MHD equations
Xiangdi Huang, Zhouping Xin, Wei Yan
Whether the smooth solution of the multi-dimensional viscous compressible fluids will blow-up in finite time has always been a chanllenging problem. In the recent work\cite{FM}, Me…
Free boundary value problem for the radial symmetric compressible isentropic Navier-Stokes equations with density-dependent viscosity
Xiangdi Huang, Weili Meng, Anchun Ni
This paper is devoted to the study of free-boundary-value problem of the compressible Naiver-Stokes system with density-dependent viscosities which was first intr…
Global strong solutions to the radially symmetric compressible MHD equations in 2D solid balls with arbitrary large initial data
Xiangdi Huang, Wei Yan
In this paper, we prove the global existence of strong solutions to the two-dimensional compressible MHD equations with density dependent viscosity coefficients (known as Kazhikhov…