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math.AP2022
On existence, uniqueness and stability of solutions to Cahn-Hilliard/Allen-Cahn systems with cross-kinetic coupling
Aaron Brunk, Herbert Egger, Timileyin David Oyedeji +2
A system of phase-field equations with strong-coupling through state and gradient dependent non-diagonal mobility matrices is studied. Existence of weak solutions is established by…
math.AP2022
Existence and weak-strong uniqueness for global weak solutions for the viscoelastic phase separation model in three space dimensions
Aaron Brunk
The aim of this work is to prove the global-in-time existence of weak solutions for a viscoelastic phase separation model in three space dimensions. To this end we apply the relati…