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- ItemGENERIC framework for reactive fluid flows(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2021) Zafferi, Andrea; Peschka, Dirk; Thomas, MaritaWe describe reactive fluid flows in terms of the formalism General Equation for Non-Equilibrium Reversible-Irreversible Coupling also known as GENERIC. Together with the formalism, we present the thermodynamical and mechanical foundations for the treatment of fluid flows using continuous fields and present a clear relation and transformation between a Lagrangian and an Eulerian formulation of the corresponding systems of partial differential equations. We bring the abstract framework to life by providing many physically relevant examples for reactive compressive fluid flows.
- ItemFurther regularity and uniqueness results for a non-isothermal Cahn--Hilliard equation(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2020) Ipocoana, Erica; Zafferi, AndreaThe aim of this paper is to establish new regularity results for a non-isothermal Cahn--Hilliard system in the two-dimensional setting. The main achievement is a crucial L∞ estimate for the temperature, obtained by a suitable Moser iteration scheme. Our results in particular allow us to get a new simplified version of the uniqueness proof for the considered model.
- ItemVariational approach to fluid-structure interaction via GENERIC(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2021) Peschka, Dirk; Zafferi, Andrea; Heltai, Luca; Thomas, MaritaWe present a framework to systematically derive variational formulations for fluid-structure interaction problems based on thermodynamical driving functionals and geometric structures in different coordinate systems by suitable transformations within this formulation. Our approach provides a promising basis to construct structure-preserving discretization strategies.