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20122022
most citedIll/well-posedness of non-diffusive active scalar equations with physical applications

1 citations · 1 across the 9 of their papers we have counts for

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math.AP20221 cited

Ill/well-posedness of non-diffusive active scalar equations with physical applications

Susan Friedlander, Anthony Suen, Fei Wang

We consider a general class of non-diffusive active scalar equations with constitutive laws obtained via an operator that is singular of order . For $r_0\…

math.AP2021

Existence, stability and long time behaviour of weak solutions of the three-dimensional compressible Navier-Stokes equations with potential force

Anthony Suen

We address the global-in-time existence, stability and long time behaviour of weak solutions of the three-dimensional compressible Navier-Stokes equations with potential force. We…

math.AP2020

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…

math.AP2020

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…

math.AP2020

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…

math.AP2020

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…