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math.AP2026
The Stefan problem for complete melting of finitely strained solids into viscoelastic fluids
Tomáš RoubÃÄek
The compressible fluid-solid interaction (FSI) with a thermomechanical phase transition is formulated at large strains within the Eulerian frame. For the deviatoric part, the Jeffr…
math.AP2024
Modelling of planetary accretion and core-mantle structure formation
Tomas Roubicek, Ulisse Stefanelli
We advance a thermodynamically consistent model of self-gravitational accretion and differentiation in planets. The system is modeled in actual variables as a compressible thermovi…
math.AP2024
Time discretization in visco-elastodynamics at large displacements and strains in the Eulerian frame
Tomáš RoubÃÄek
The fully-implicit time discretization (i.e. the backward Euler formula) is applied to compressible nonlinear dynamical models of viscoelastic solids in the Eulerian description, i…