10 citations · 15 across the 13 of their papers we have counts for
25 papers · 1 filter
On the trajectory of a light small rigid body in an incompressible viscous fluid
Marco Bravin, Šárka Nečasová
In this paper we study the dynamics of a small rigid body in a viscous incompressible fluid in dimension two and three. More precisely we investigate the trajectory of the rigid bo…
Weak solutions for a bi-fluid model for a mixture of two compressible non interacting fluids with general boundary data
Stanislav Kracmar, Young-Sam Kwon, Sarka Necasova +1
We prove global existence of weak solutions for a version of one velocity Baer-Nunziato system with dissipation describing a mixture of two non interacting viscous compressible flu…
Existence and stability of dissipative turbulent solutions to a simple bi-fluid model of compressible fluids
Bumja Jin, Young-Sam Kwon, Sarka Necasova +1
Following Abbatiello et al. [ DCCDS-A (41), 2020], we introduce dissipative turbulent solutions to a simple model of a mixture of two non interacting compressible fluids {\tc filli…
Motion of a rigid body in a compressible Fluid with Navier-slip boundary condition
S. Necasova, M. Ramaswamy, A. Roy +1
In this work, we study the motion of a rigid body in a bounded domain which is filled with a compressible isentropic fluid. We consider the Navier-slip boundary condition at the in…
On the vanishing rigid body problem in a viscous compressible fluid
Marco Bravin, Šárka Nečasová
In this paper we study the interaction of a small rigid body in a viscous compressible fluid. The system occupies a bounded three dimensional domain. The object it allowed to freel…
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…