Strong well-posedness and separation properties for a bulk-surface convective Cahn–Hilliard system with singular potentials

URN to cite this document:: urn:nbn:de:bvb:355-epub-767500
DOI to cite this document:: 10.5283/epub.76750

Knopf, Patrik

; Stange, Jonas

License: Creative Commons Attribution 4.0
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Date of publication of this fulltext: 04 Jun 2025 04:24

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Abstract

This paper addresses the well-posedness of a general class of bulk-surface convective Cahn–Hilliard systems with singular potentials. For this model, we first prove the existence of a global-in-time weak solution by approximating the singular potentials via a Yosida regularization, applying the corresponding results for regular potentials, and eventually passing to the limit in this approximation ...