On a coupled Stefan-like problem in thermo-visco-plastic rheology

Robust characteristics method for modelling multiphase visco-elasto-plastic thermo-mechanical problems

Robust characteristics method for modelling multiphase visco-elasto-plastic thermo-mechanical problems Taras V. Gerya a,∗, David A. Yuen b a Geophysical Fluid Dynamics Group, Institute of Geophysics, Department of Geosciences, Swiss Federal Institute of Technology (ETH-Zurich), CH-8093 Zurich, Switzerland b Department of Geology and Geophysics and Minnesota Supercomputing Institute, University ...

Mathematical analysis of thermo-visco-elastic models

Motywacją do badań nad równaniami opisującymi odkształcenia termo-lepko-sprężyste jest potrzeba lepszego opisu procesów zachodzących w różnych materiałach oraz zbudowania lepszych modeli ich zachowania pod wpływem działania sił zewnętrznych. Wraz z rozwojem techniki zdobywamy głębszą wiedzę na temat różnych tworzyw. Pozwala nam to na tworzenie coraz bardziej poprawnych modeli opisujących zachow...

A Stefan problem on an evolving surface.

We formulate a Stefan problem on an evolving hypersurface and study the well posedness of weak solutions given L(1) data. To do this, we first develop function spaces and results to handle equations on evolving surfaces in order to give a natural treatment of the problem. Then, we consider the existence of solutions for L(∞) data; this is done by regularization of the nonlinearity. The regulari...

Solution of a semi-coercive contact problem in a non-linear thermo-elastic rheology

A Stochastic Stefan Problem

We consider a stochastic perturbation of the Stefan problem. The noise is Brownian in time and smoothly correlated in space. We prove existence and uniqueness and characterize the domain of existence.