16 citations · 61 across the 19 of their papers we have counts for
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Variational approximation for a non-isothermal coupled phase-field system: Structure-preservation & Nonlinear stability
Aaron Brunk, Oliver Habrich, Timileyin David Oyedeji +2
A Cahn-Hilliard-Allen-Cahn phase-field model coupled with a heat transfer equation, particularly with full non-diagonal mobility matrices, is studied. After reformulating the probl…
Fundamentals of the Oldroyd-B model revisited: Tensorial vs. vectorial theory
Aaron Brunk, Joydip Chaudhuri, Maria Lukacova-Medvidova +1
The standard derivation of the Oldroyd-B model starts from a coupled system of the momentum equation for the macroscopic flow on the one hand, and Fokker-Planck dynamics for molecu…
A second-order structure-preserving discretization for the Cahn-Hilliard/Allen-Cahn system with cross-kinetic coupling
Aaron Brunk, Herbert Egger, Oliver Habrich
We study the numerical solution of a Cahn-Hilliard/Allen-Cahn system with strong coupling through state and gradient dependent non-diagonal mobility matrices. A fully discrete appr…