96 citations · 490 across the 38 of their papers we have counts for
4 papers · 1 filter
On the rate of convergence of Yosida approximation for the nonlocal Cahn-Hilliard equation
Piotr Gwiazda, Jakub Skrzeczkowski, Lara Trussardi
It is well-known that one can construct solutions to the nonlocal Cahn-Hilliard equation with singular potentials via Yosida approximation with parameter . The usual method…
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…