96 citations · 490 across the 38 of their papers we have counts for
7 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…
Generalized Entropy Method for the Renewal Equation with Measure Data
Piotr Gwiazda, Emil Wiedemann
We study the long-time asymptotics for the so-called McKendrick-Von Foerster or renewal equation, a simple model frequently considered in structured population dynamics. In contras…
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…
Bayesian inference for age-structured population model of infectious disease with application to varicella in Poland
Piotr Gwiazda, Błażej Miasojedow, Magdalena Rosińska
Dynamics of the infectious disease transmission is often best understood taking into account the structure of population with respect to specific features, in example age or immuni…
Optimization in Structure Population Models through the Escalator Boxcar Train
Rinaldo M. Colombo, Piotr Gwiazda, Magdalena Rosinska
The Escalator Boxcar Train (EBT) is a tool widely used in the study of balance laws motivated by structure population dynamics. This paper proves that the approximate solutions def…