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20082019
most citedSteady compressible Nevier-Stokes flow in a square

3 citations · 4 across the 5 of their papers we have counts for

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math.AP2019

Compressible Navier-Stokes system on a moving domain in the framework

Ondrej Kreml, Sárka Necasová, Tomasz Piasecki

We prove the local well-posedness for the barotropic compressible Navier-Stokes system on a moving domain, a motion of which is determined by a given vector field , in a m…

math.AP2019

Weak-strong uniqueness for the compressible fluid-rigid body interaction

Ondrej Kreml, Sarka Necasova, Tomasz Piasecki

In this work we study the coupled system of partial and ordinary differential equations describing the interaction between a compressible isentropic viscous fluid and a rigid body…

math.AP2019

On the maximal - regularity of solutions to a general linear parabolic system

Tomasz Piasecki, Yoshihiro Shibata, Ewelina Zatorska

We show the existence of solution in the maximal regularity framework to a class of symmetric parabolic problems on a uniformly domain in . Our approa…

math.AP2019

On the isothermal compressible multi-component mixture flow: the local existence and maximal regularity of solutions

Tomasz Piasecki, Yoshihiro Shibata, Ewelina Zatorska

We consider the initial-boundary value problem for the system of equations describing the flow of compressible isothermal mixture of arbitrary large number of components. The syste…

math.AP20171 cited

On steady solutions to a model of chemically reacting heat conducting compressible mixture with slip boundary conditions

Tomasz Piasecki, Milan Pokorný

We consider a model of chemically reacting heat conducting compressible mixture. We investigate the corresponding system of partial differential equations in the steady regime with…

math.AP2016

Weak-strong uniqueness for compressible Navier-Stokes system with slip boundary conditions on time dependent domains

Ondřej Kreml, Šárka Nečasová, Tomasz Piasecki

We consider the compressible Navier-Stokes system on time-dependent domains with prescribed motion of the boundary, supplemented with slip boundary conditions for the velocity. We…