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Sponsored AI Networking Cookbook: Practical recipes for AI-assisted network automation and development AI Networking Cookbook: Practical recipes for AI-assisted network automation and development

Author

Katharina Hopf

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Preprint Oct 2026

Dissipative solutions for fibred Wasserstein gradient flows of Cahn-Hilliard-type energies

We study fourth-order evolution equations with a fibred Wasserstein gradient-flow structure, describing spatial transport of finitely many or a continuum of types. The driving Cahn-Hilliard-like energy combines a diagonal gradient contribution with nonlinear interactions between types. We prove subsequential convergenc...

Georg Heinze, Katharina Hopf, M. Liero · 0 citations
Preprint Oct 2026

Dissipative solutions for viscoelastic phase separation with degenerate mobility: a dynamic transport approach

We study the convergence of minimising movement approximations to weak solutions of a fourth-order viscoelastic phase separation system with degenerate concave mobility. The underlying semi-implicit variational scheme combines a dynamic transport distance for the phase-field variable with a weighted $L^2$-distance for...

M. Gau, Katharina Hopf, M. Liero · 0 citations

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