96 citations · 217 across the 23 of their papers we have counts for
5 papers · 1 filter
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…
On unified theory for scalar conservation laws with fluxes and sources discontinuous with respect to the unknown
Miroslav Bulíček, Piotr Gwiazda, Agnieszka Świerczewska-Gwiazda
We deal with the Cauchy problem for multi-dimensional scalar conservation laws, where the fluxes and the source terms can be discontinuous functions of the unknown. The main novelt…
Regularity and Energy Conservation for the Compressible Euler Equations
Eduard Feireisl, Piotr Gwiazda, Agnieszka Świerczewska-Gwiazda +1
We give sufficient conditions on the regularity of solutions to the inhomogeneous incompressible Euler and the compressible isentropic Euler systems in order for the energy to be c…
Transport equation with integral terms
Camillo De Lellis, Piotr Gwiazda, Agnieszka Świerczewska-Gwiazda
We prove some theorems on the existence, uniqueness, stability and compactness properties of solutions to inhomogeneous transport equations with Sobolev coefficients, where the inh…
Stability of high-temperature viscous flows. A case of pudding model
Piotr B. Mucha, Agnieszka Świerczewska-Gwiazda
We investigate the Navier-Stokes-Fourier system for incompressible heat conducting inhomogeneous fluid. The main result concerns existence of global in time regular large solutions…