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20122026
most citedWeak solutions to the barotropic Navier-Stokes system with slip boundary conditions in time dependent domains

39 citations · 121 across the 61 of their papers we have counts for

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Showing 2021Show all

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math.AP2021

Existence of a weak solution to a nonlinear fluid-structure interaction problem with heat exchange

Václav Mácha, Boris Muha, Šárka Nečasová +2

In this paper, we study a nonlinear interaction problem between a thermoelastic shell and a heat-conducting fluid. The shell is governed by linear thermoelasticity equations and en…

math.AP2021★ 11 cited

Homogenization problems for the compressible Navier-Stokes system in 2D perforated domains

Sarka Necasova, Jiaojiao Pan

In this paper, we study the homogenization problems for the stationary compressible Navier-Stokes system in a bounded 2D domain, where the domain is perforated with very tiny holes…

math.AP2021

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…

math.AP2021

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…

math.AP2021

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…