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On well-posedness of quantum fluid systems in the class of dissipative solutions
Danica Basarić, Tong Tang
The main objects of the present work are the quantum Navier-Stokes and quantum Euler systems; for the first one, in particular, we will consider constant viscosity coefficients. We…
On the hydrostatic approximation of compressible anisotropic Navier-Stokes equations -- rigorous justification
Hongjun Gao, Sarka Necasova, Tong Tang
In this work, we obtain the hydrostatic approximation by taking the small aspect ratio limit to the Navier-Stokes equations. The aspect ratio (the ratio of the depth to horizontal…
Low Mach and thin domain limit for the compressible Euler system
Matteo Caggio, Bernard Ducomet, Sarka Necasova +1
We consider the compressible Euler system describing the motion of an ideal fluid confined to a straight layer . In the framework of dissipati…
On a singular limit for the compressible rotating Euler system
Sarka Necasova, Tong Tang
The work addresses a singular limit for a rotating compressible Euler system in the low Mach number and low Rossby number regime. Based on the concept of dissipative measure-valued…
On weak-strong uniqueness and singular limit for the compressible Primitive Equations
Hongjun Gao, Sarka Necasova, Tong Tang
This paper addresses the weak-strong uniqueness property and singular limit for the compressible Primitive Equations (PE). We show that a weak solution coincides with the strong so…