96 citations · 490 across the 38 of their papers we have counts for
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Finite Range Method of Approximation for Balance Laws in Measure Spaces
Piotr Gwiazda, Piotr Orliński, Agnieszka Ulikowska
In the following paper we reconsider a recently introduced numerical scheme. The method was designed for a wide class of size structured population models as a variation of the Esc…
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…
Thermo-visco-elasticity for Norton-Hoff-type models
Piotr Gwiazda, Filip Z. Klawe, Agnieszka Świerczewska-Gwiazda
Our research is directed to a quasi-static evolution of the thermo-visco-elastic model. We assume that the material is subject to two kinds of mechanical deformations: elastic and…
Mass concentration in a nonlocal model of clonal selection
Jan-Erik Busse, Piotr Gwiazda, Anna Marciniak-Czochra
Self-renewal is a constitutive property of stem cells. Testing the cancer stem cell hypothesis requires investigation of the impact of self-renewal on cancer expansion. To understa…