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- University of Hong KongHK26 papers
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10 papers · 1 filter
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…
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…
Some Serrin type blow-up criteria for the three-dimensional viscous compressible flows with large external potential force
Anthony Suen
We provide a Serrin type blow-up criterion for the 3-D viscous compressible flows with large external potential force. For the Cauchy problem of the 3-D compressible Navier-Stokes…
Vanishing diffusion limits and long time behaviour of a class of forced active scalar equations
Susan Friedlander, Anthony Suen
We investigate the properties of an abstract family of advection diffusion equations in the context of the fractional Laplacian. Two independent diffusion parameters enter the syst…
Wellposedness and convergence of solutions to a class of forced non-diffusive equations with applications
Susan Friedlander, Anthony Suen
This paper considers a family of non-diffusive active scalar equations where a viscosity type parameter enters the equations via the constitutive law that relates the drift velocit…
Global Existence of Solutions to the Compressible Euler Equations with Time-dependent Damping and Logarithmic State Equation
Ka Luen Cheung, Sen Wong
In mathematical physics, the pressure function is determined by the equation of state. There are two existing barotropic state equations: the state equation for polytropic gas with…