1 citations · 2 across the 4 of their papers we have counts for
4 papers · 1 filter
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…
Thermo-visco-elasticity for Norton-Hoff-type models with homogeneous thermal expansion
Piotr Gwiazda, Filip Z. Klawe, Sebastian Owczarek
In this work we study a quasi-static evolution of thermo-visco-elastic model with homogeneous thermal expansion. We assume that material is subject to two kinds of mechanical defor…
Multi-dimensional scalar balance laws with discontinuous flux
Piotr Gwiazda, Agnieszka Swierczewska-Gwiazda, Petra Wittbold +1
We consider the problem of existence of entropy weak solutions to scalar balance laws with a dissipative source term. The flux function may be discontinuous with respect both to th…