6 citations · 7 across the 11 of their papers we have counts for
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Supercritical mean--field limit for magnetized Hamiltonian dynamic
Immanuel Ben Porat, Gui-Qiang G. Chen, Difan Yuan
The magnetized Vlasov--Poisson equation is a fundamental kinetic model for collisionless plasmas. We establish its quasi-neutral limit in two dimensions in the presence of a spatia…
Nonlinear Stability and Instability of Finite-Energy Solutions of the Compressible Euler-Riesz Equations with General Pressure Laws
Jose A. Carrillo, Samuel R. Charles, Gui-Qiang G. Chen +1
The compressible Euler-Riesz equations arise in the modeling of a wide range of physical phenomena, including stellar dynamics, plasma physics, and mathematical biology. In this pa…
Global Regular Solutions of the Compressible Navier-Stokes Equations with Nonlinear Density-Dependent Viscosities and Large Initial Data of Spherical Symmetry
Gui-Qiang G. Chen, Jiawen Zhang, Shengguo Zhu
For the physically important case in which the viscosity coefficients depend on the density through a power law (i.e., with some exponent ), we esta…
Development of Implosions of Solutions to the Three-Dimensional Degenerate Compressible Navier-Stokes Equations
Gui-Qiang G. Chen, Lihui Liu, Shengguo Zhu
A fundamental open problem in the theory of the multidimensional compressible Navier-Stokes equations is whether smooth solutions can develop singularities in finite time. For cons…
Global Well-Posedness of the Vacuum Free Boundary Problem for the Degenerate Compressible Navier-Stokes Equations With Large Data of Spherical Symmetry
Gui-Qiang G. Chen, Jiawen Zhang, Shengguo Zhu
The study of global-in-time dynamics of vacuum is crucial for understanding viscous flows. In particular, physical vacuum, characterized by a moving boundary with nontrivial finite…