39 citations · 58 across the 7 of their papers we have counts for
7 papers
On the planar Taylor-Couette system and related exterior problems
Filippo Gazzola, Jiří Neustupa, Gianmarco Sperone
We consider the planar Taylor-Couette system for the steady motion of a viscous incompressible fluid in the region between two concentric disks, the inner one being at rest and the…
New Regularity Criteria for Weak Solutions to the MHD Equations in Terms of an Associated Pressure
Jiri Neustupa, Minsuk Yang
We prove that if , is a suitable weak solution of the MHD equations in and either $\mathcal{F}_γ(p_-)\in L^…
Nonlinear spectral instability of steady-state flow of a viscous liquid past a rotating obstacle
Giovanni P. Galdi Jiří Neustupa
We show that a steady-state solution to the system of equations of a Navier-Stokes flow past a rotating body is nonlinearly unstable if the associated linear operator $\c…
A Pressure Associated with a Weak Solution to the Navier-Stokes Equations with Navier's Boundary Condition
Jiri Neustupa, Sarka Necasova, Petr Kucera
We show that if u is a weak solution to the Navier-Stokes initial-boundary value problem with Navier's slip boundary conditions in , where is a domain in $R^…
A Refinement of the Local Serrin--Type Regularity A refinement of the local Serrin--type regularity criterion for a suitable weak solution to the Navier--Stokes equations
Jiri Neustupa
We formulate a new criterion for regularity of a suitable weak solution v to the Navier-Stokes equations at the space-time point (x_0,t_0). The criterion imposes a Serrin-type inte…
Regularity of a Weak Solution to the Navier-Stokes Equations via One Component of a Spectral Projection of Vorticity
Jiri Neustupa, Patrick Penel
We deal with a weak solution v to the Navier-Stokes initial value problem in R^3 x(0,T). We denote by ω^+ a spectral projection of ω=\curl\, v, defined by means of the spectral res…
Weak solutions to the barotropic Navier-Stokes system with slip boundary conditions in time dependent domains
Eduard Feireisl, Ondřej Kreml, Šárka Nečasová +2
We consider the compressible (barotropic) Navier-Stokes system on time-dependent domains, supplemented with slip boundary conditions. Our approach is based on penalization of the b…