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New dimensional bounds for a branched transport problem

New dimensional bounds for a branched transport problem

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_3132695773

New dimensional bounds for a branched transport problem

About this item

Full title

New dimensional bounds for a branched transport problem

Publisher

Ithaca: Cornell University Library, arXiv.org

Journal title

arXiv.org, 2024-11

Language

English

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Publication information

Publisher

Ithaca: Cornell University Library, arXiv.org

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Scope and Contents

Contents

We consider a branched transport problem with weakly imposed boundary conditions. This problem arises as a reduced model for pattern formation in type-I superconductors. For this model, it is conjectured that the dimension of the boundary measure is non-integer. We prove this conjecture in a simplified 2D setting, under the (strong) assumption of A...

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Full title

New dimensional bounds for a branched transport problem

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Record Identifier

TN_cdi_proquest_journals_3132695773

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_3132695773

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E-ISSN

2331-8422

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