1 citations · 4 across the 12 of their papers we have counts for
28 papers
decay estimates and inviscid limits for Global smooth solutions to the compressible Navier-Stokes-Riesz system
Agnieszka Świerczewska-Gwiazda, Yuan Xu, Junhao Zhang
We study the Cauchy problem in for the repulsive compressible Navier-Stokes-Riesz system with Riesz exponent and viscosity , where the…
On a system of equations arising in meteorology: Well-posedness and data assimilation
Eduard Feireisl, Piotr Gwiazda, Agnieszka Świerczewska-Gwiazda
Data assimilation plays a crucial role in modern weather prediction, providing a systematic way to incorporate observational data into complex dynamical models. The paper addresses…
Unconditional stability of radially symmetric steady sates of compressible viscous fluids with inflow/outflow boundary conditions
Eduard Feireisl, Piotr Gwiazda, Agnieszka Świerczewska-Gwiazda
We show that certain radially symmetric steady states of compressible viscous fluids in domains with inflow/outflow boundary conditions are unconditionally stable. This means that…
From nonlocal Euler-Korteweg to local Cahn-Hilliard via the high-friction limit
Charles Elbar, Piotr Gwiazda, Jakub Skrzeczkowski +1
Several recent papers considered the high-friction limit for systems arising in fluid mechanics. Following this approach, we rigorously derive the nonlocal Cahn-Hilliard equation a…
Cahn-Hillard and Keller-Segel systems as high-friction limits of Euler-Korteweg and Euler-Poisson equations
Dennis Gallenmüller, Piotr Gwiazda, Agnieszka Świerczewska-Gwiazda +1
We consider a combined system of Euler--Korteweg and Euler--Poisson equations with friction and exponential pressure with exponent . We show the existence of dissipative meas…
Mathematical theory of compressible magnetohydrodynamics driven by non-conservative boundary conditions
Eduard Feireisl, Piotr Gwiazda, Young-Sam Kwon +1
We propose a new concept of weak solution to the equations of compressible magnetohydrodynamics driven by large boundary data. The system of the underlying field equations is solva…