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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2306.05740 |
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| _version_ | 1866909537881030656 |
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| author | Rüland, Angkana Tribuzio, Antonio |
| author_facet | Rüland, Angkana Tribuzio, Antonio |
| contents | We provide (upper and lower) scaling bounds for a singular perturbation model for the cubic-to-tetragonal phase transformation with (partial) displacement boundary data. We illustrate that the order of lamination of the affine displacement data determines the complexity of the microstructure. As in \cite{RT21} we heavily exploit careful Fourier space localization methods in distinguishing between the different lamination orders in the data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_05740 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the Scaling of the Cubic-to-Tetragonal Phase Transformation with Displacement Boundary Conditions Rüland, Angkana Tribuzio, Antonio Analysis of PDEs We provide (upper and lower) scaling bounds for a singular perturbation model for the cubic-to-tetragonal phase transformation with (partial) displacement boundary data. We illustrate that the order of lamination of the affine displacement data determines the complexity of the microstructure. As in \cite{RT21} we heavily exploit careful Fourier space localization methods in distinguishing between the different lamination orders in the data. |
| title | On the Scaling of the Cubic-to-Tetragonal Phase Transformation with Displacement Boundary Conditions |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2306.05740 |