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math.AP2024
A variational approach to the modeling of compressible magnetoelastic materials
Barbora Benešová, Šárka Nečasová, Jan Scherz +1
We analyze a model of the evolution of a (solid) magnetoelastic material. More specifically, the model we consider describes the evolution of a compressible magnetoelastic material…
math.AP2024
Dissipative solutions to the model of a general compressible viscous fluid with the Coulomb friction law boundary condition
Sarka Necasova, Justyna Ogorzaly, Jan Scherz
We study a model of a general compressible viscous fluid subject to the Coulomb friction law boundary condition. For this model, we introduce a dissipative formulation and prove th…
math-ph2024
Modeling of fluid-rigid body interaction in an electrically conducting fluid
Jan Scherz, Anja Schlömerkemper
We derive a mathematical model for the motion of several insulating rigid bodies through an electrically conducting fluid. Starting from a universal model describing this phenomeno…