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math.AP2021
How do degenerate mobilities determine singularity formation in Cahn-Hilliard equations?
Catalina Pesce, Andreas Münch
Cahn-Hilliard models are central for describing the evolution of interfaces in phase separation processes and free boundary problems. In general, they have non-constant and often d…
math.AP2019
Blow-up for the 3-dimensional axially symmetric harmonic map flow into S2
Juan Davila, Manuel Del Pino, Catalina Pesce +1
We construct finite time blow-up solutions to the 3-dimensional harmonic map flow into the sphere , \begin{align*} u_t & = Δu + |\nabla u|^2 u \quad \text{in } Ω\times(0,T) \\…