Balance Laws and Transport Theorems for Flows with Singular Interfaces
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909470194401280 |
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| author | Thein, Ferdinand Warnecke, Gerald |
| author_facet | Thein, Ferdinand Warnecke, Gerald |
| contents | This paper gives a concise but rigorous mathematical description of a material control volume that is separated into two parts by a singular surface at which physical states are discontinuous. The geometrical background material is summarized in a unified manner. Transport theorems for use in generic balance laws are given with proofs since they provide some insight into the results. Also the step from integral balances to differential equations is given in some detail. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_18518 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Balance Laws and Transport Theorems for Flows with Singular Interfaces Thein, Ferdinand Warnecke, Gerald Analysis of PDEs Mathematical Physics Fluid Dynamics 35Q35, 37E35, 76-10 This paper gives a concise but rigorous mathematical description of a material control volume that is separated into two parts by a singular surface at which physical states are discontinuous. The geometrical background material is summarized in a unified manner. Transport theorems for use in generic balance laws are given with proofs since they provide some insight into the results. Also the step from integral balances to differential equations is given in some detail. |
| title | Balance Laws and Transport Theorems for Flows with Singular Interfaces |
| topic | Analysis of PDEs Mathematical Physics Fluid Dynamics 35Q35, 37E35, 76-10 |
| url | https://arxiv.org/abs/2501.18518 |