An Ohta-Kawasaki Model set on the space
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914631869530112 |
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| author | Salazar, Lorena Aguirre Lu, Xin Yang Wei, Jun-cheng |
| author_facet | Salazar, Lorena Aguirre Lu, Xin Yang Wei, Jun-cheng |
| contents | We examine a non-local diffuse interface energy with Coulomb repulsion in three dimensions inspired by the Thomas-Fermi-Dirac-von Weizsäcker, and the Ohta-Kawasaki models. We consider the corresponding mass-constrained variational problem and show the existence of minimizers for small masses, and the absence of minimizers for large masses. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_03120 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An Ohta-Kawasaki Model set on the space Salazar, Lorena Aguirre Lu, Xin Yang Wei, Jun-cheng Analysis of PDEs We examine a non-local diffuse interface energy with Coulomb repulsion in three dimensions inspired by the Thomas-Fermi-Dirac-von Weizsäcker, and the Ohta-Kawasaki models. We consider the corresponding mass-constrained variational problem and show the existence of minimizers for small masses, and the absence of minimizers for large masses. |
| title | An Ohta-Kawasaki Model set on the space |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2401.03120 |