Thermal effects in fluid structure interactions
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915789746995200 |
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| author | Mitra, Sourav Schwarzacher, Sebastian |
| author_facet | Mitra, Sourav Schwarzacher, Sebastian |
| contents | In this article we consider two different heat conducting fluids each modelled by the incompressible Navier-Stokes-Fourier system separated by a non-linear elastic Koiter shell. The motion of the shell changes the domain of definition of the two separated fluids. For this setting we show the existence of a weak solution. The heat capacity of the shell is given energetically. It allows to consider transmission laws ranging from insulation to superconductivity.We follow a variational approach for fluid-structure interactions. To include temperature a novel two step minimization scheme is used to produce an approximation. The weak solutions are energetically closed and include a strictly positive temperature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_04801 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Thermal effects in fluid structure interactions Mitra, Sourav Schwarzacher, Sebastian Analysis of PDEs 35Q30, 35R37, 35Q35, 74F10, 76D05 In this article we consider two different heat conducting fluids each modelled by the incompressible Navier-Stokes-Fourier system separated by a non-linear elastic Koiter shell. The motion of the shell changes the domain of definition of the two separated fluids. For this setting we show the existence of a weak solution. The heat capacity of the shell is given energetically. It allows to consider transmission laws ranging from insulation to superconductivity.We follow a variational approach for fluid-structure interactions. To include temperature a novel two step minimization scheme is used to produce an approximation. The weak solutions are energetically closed and include a strictly positive temperature. |
| title | Thermal effects in fluid structure interactions |
| topic | Analysis of PDEs 35Q30, 35R37, 35Q35, 74F10, 76D05 |
| url | https://arxiv.org/abs/2510.04801 |