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Uniqueness of weak solutions of the three-dimensional compressible Navier-Stokes equations with potential force
Anthony Suen
We prove uniqueness of weak solutions of the three-dimensional compressible Navier-Stokes equations with potential force. We make use of the Lagrangean framework in comparing the i…
Global regularity for the 3D compressible magnetohydrodynamics with general pressure
Anthony Suen
We address the compressible magnetohydrodynamics (MHD) equations in and establish a blow-up criterion for the local strong solutions in terms of the density only. Na…
Large friction limit of the compressible Navier-Stokes equations with Navier Boundary conditions in general three-dimensional domains
Anthony Suen
In this paper, we study the Navier-Stokes equations of compressible, barotropic flow posed in a bounded set in with different boundary conditions. Specifically, we p…
On a class of forced active scalar equations with small diffusive parameters
Susan Friedlander, Anthony Suen
Many equations that model fluid behaviour are derived from systems that encompass multiple physical forces. When the equations are written in non dimensional form appropriate to th…
Existence and a blow-up criterion of solution to the 3D compressible Navier-Stokes-Poisson equations with finite energy
Anthony Suen
We study the low-energy solutions to the 3D compressible Navier-Stokes-Poisson equations. We first obtain the existence of smooth solutions with small -norm and essentially bo…
Existence and uniqueness of low-energy weak solutions to the compressible 3D magnetohydrodynamics equations
Anthony Suen
We prove the existence and uniqueness of weak solutions of the three dimensional compressible magnetohydrodynamics (MHD) equations. We first obtain the existence of weak solutions…